[tex]\frac{60}{100}[/tex] of a dollar
A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
Kim spent [tex]\frac{40}{100}[/tex] of a dollar on a snack.
So, she has been left with [tex]1-\frac{40}{100}=\frac{60}{100}[/tex] of a dollar on a snack.
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Final answer:
Kim spent 40/100 of a dollar (40 cents) on a snack, so she has 60 cents left.
Explanation:
The question requires converting a fraction of a dollar into a money amount. Kim spent 40/100 of a dollar on a snack. A dollar is equivalent to 100 cents, so Kim spent 40 cents on her snack. To find out how much she has left, we subtract her spending from the total amount of one dollar.
To perform the calculation: 100 cents - 40 cents = 60 cents.
Therefore, Kim has 60 cents left after purchasing the snack.
The base of a trapezoid are 24 feet and 16 feet. The height of the trapezoid is 12 feet. what is the area of the trapezoid?
Can anyone help me with this? its for extra credit for work provide any steps please
Answer:
240 ft^2
Step-by-step explanation:
area: (24+16)12/2=240 ft^2
(the area of a trapezoid is the sum of the bases multiplied by the height over 2.)
In the triangle, what is sin 45 degrees? Give your answer in simplest radical form.
The value of sin 45 is 1/ √2
What is angle?An angle is a combination of two rays (half-lines) with a common endpoint.
As per the diagram,
AC= 1 unit, BC= 1 unit
Applying Pythagoras theorem,
AB² = AC² + BC²
AB² = 1²+ 1²
AB² = 2
AB= √2
Now, sine is the ratio between the opposed side and the hypothenuse.
So, sin 45 = 1/ √2 = √2/√2
In radical form = 0.7071
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Final answer:
The sin of 45 degrees is √2/2. This value is found using the properties of an isosceles right triangle and applying the Pythagorean theorem.
Explanation:
In the case of a 45-degree angle in a right triangle, the sine function can be calculated using the properties of an isosceles right triangle. The sin of 45 degrees is equal to the ratio of the opposite side to the hypotenuse. In an isosceles right triangle where the two legs are equal, this ratio is the same for both legs.
By the Pythagorean theorem, we know that in an isosceles right triangle, if each leg is of length 1, the hypotenuse will be √2. Therefore, sin 45 degrees equals the length of the leg (1) divided by the length of the hypotenuse (√2), which simplifies to √2/2 or 1/√2. Expressing this in simplest radical form, we obtain √2/2.
This value is derived from understanding that the sum of the squares of the lengths of the legs equals the square of the hypotenuse, which gives us the equation 1² + 1² = c², where c is the hypotenuse. Simplifying gives us a hypotenuse of √2, and the sine of 45 degrees equals 1/√2, or √2/2 after rationalizing the denominator.
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. use the 68-95-99.7 rule to find the percentage of buyers who paid: between $147,700 and $152,300 If the standard deviation is $2300.
Answer:
We want to find the percentage of values between 147700 and 152300
[tex] P(147700 <X<152300)[/tex]
And one way to solve this is use a formula called z score in order to find the number of deviations from the mean for the limits given:
[tex] z= \frac{x-\mu}{\sigma}[/tex]
And replacing we got:
[tex] z=\frac{147700-150000}{2300}=-1[/tex]
[tex] z=\frac{152300-150000}{2300}=1[/tex]
So then we are within 1 deviation from the mean so then we can conclude that the percentage of values between $147,700 and $152,300 is 68%
Step-by-step explanation:
We define the random variable representing the prices of a certain model as X and the distirbution for this random variable is given by:
[tex] X \sim N(\mu = 150000, \sigma =2300[/tex]
The empirical rule states that within one deviation from the mean we have 68% of the data, within 2 deviations from the mean we have 95% and within 3 deviations 99.7 % of the data.
We want to find the percentage of values between 147700 and 152300
[tex] P(147700 <X<152300)[/tex]
And one way to solve this is use a formula called z score in order to find the number of deviations from the mean for the limits given:
[tex] z= \frac{x-\mu}{\sigma}[/tex]
And replacing we got:
[tex] z=\frac{147700-150000}{2300}=-1[/tex]
[tex] z=\frac{152300-150000}{2300}=1[/tex]
So then we are within 1 deviation from the mean so then we can conclude that the percentage of values between $147,700 and $152,300 is 68%
Final answer:
Using the 68-95-99.7 rule in statistics, about 68% of buyers paid between $147,700 and $152,300 for a new home, given the mean price is $150,000 and the standard deviation is $2,300.
Explanation:
The student is asking a question that involves the application of the 68-95-99.7 rule (also known as the empirical rule) in statistics, which describes how data is distributed in a normal distribution. Specifically, the student wants to know the percentage of buyers who paid between $147,700 and $152,300 for a new home, given that the mean price is $150,000 and the standard deviation is $2,300.
According to the 68-95-99.7 rule, approximately 68% of data within a normal distribution falls within one standard deviation of the mean in both directions, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
In this scenario, the range from $147,700 to $152,300 is $2,300 away from the mean (which is one standard deviation), so approximately 68% of the home prices would fall within this range.
Which of the following statements is false for an F distribution? a. Degrees of freedom for the numerator can be smaller than the degrees of freedom for the denominator. b. The exact shape of the distribution is determined by two numbers of degrees of freedom. c. Degrees of freedom for the numerator can be larger or equal to the degrees of freedom for the denominator. d. Degrees of freedom for the denominator cannot be smaller than the degrees of freedom for the numerator. e. Variables that are F distributed range from 0 to .
Answer:
A. True
B. True
C. True
D. False
Step-by-step explanation:
Option D is the only clear option that is false.
The S distribution is a statistical tool used to check the homogeneity of two independent estimates when studying population variance.
When using an F distribution, The ratio of the degree of freedom of the numerator to the denominator can be >1, = 1 or < 1.
This implies that degrees of freedom for the denominator can be smaller than the degrees of freedom for the numerator.
This makes option D false and hence the correct answer
Final answer:
The F distribution in ANOVA tests has specific characteristics based on degrees of freedom, with critical values for hypothesis testing.
Explanation:
False statement: d. Degrees of freedom for the denominator cannot be smaller than the degrees of freedom for the numerator.
The F distribution is used in ANOVA tests, with the shape determined by the degrees of freedom for the numerator and denominator. Critical values for the F distribution correspond to different probabilities for hypothesis testing.
Need Help on this someone!!!
temperatures at several times of the day are shown in the coordinate plane below. the x-axis represents the number of hours before or after noon. for example -1 would represent 11 a.m. the y-axis represents the temperature in degrees celsius at 5pm the temperature is half way between the temperature at 2pm and the temperature at 8pm. what coordinates represent the temperature at 5pm
20,880 times 2/5 = ?
Answer:
20,880 x 2/5
= (20,880 x 2)/5
= (41,760)/5
= 8,352
HELP DUE TODAY a bag contains 40 slips of paper numbered 1-40 if one is chosen randomly what is the probability of not choosing a multiple of five
Answer:
80% probability of not choosing a multiple of five
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes:
In this problem, we have that:
There are 40 numbers between 1 and 40.
Multiples of 5 are: 5,10,15,20,25,30,35,40
So there are 8 numbers that are multiple of 4 and 40-32 = 8 which are not multiples of five.
So
32/40 = 0.8
80% probability of not choosing a multiple of five
Answer: the probability of not choosing a multiple of five is 0.8
Step-by-step explanation:
Probability is expressed as the ratio of the number of favorable outcomes to the total number of outcomes.
In this scenario, the total number of outcomes is 40. The multiple of 5 between 1 to 40 are 5, 10, 15, 20, 25, 30, 35, 40. The total numbers that are multiples of 5 is 8. The total numbers that are not multiples of 5 is 40 - 8 = 32
Therefore, the number of favorable outcomes is 32
Probability = 32/40 = 0.8
3
2
-1
1
2
3
Find the distance between J and K.
VitaComp manufactures non-pharmaceutical pills and pellets from dry ingredients, using a collection of machinery it maintains in a large job shop. Machine AA-23 molds circular pellets to an average diameter of 65 mm, with normally distributed natural variation expressed by a 1 mm standard deviation when the machine is in control. VitaComp has just agreed to mold a batch of plant food pellets of the 65mm design. To monitor the plant food job, it will sample 100 pellets randomly each hour, and chart their average diameter on a mean chart prepared for this purpose, using a z-value of 1.67. What is the Upper Control Limit of the mean chart described here?
Answer:
Check the explanation
Step-by-step explanation:
UCL = MEAN + (Z * STDEV / SQRT(N))
MEAN = 65
Z = 1.67
STDEV = 1
N = 100
UCL = 65 + (1.67 * 1 / SQRT(100)) = 65.167
a fibonacci sequence begins 1 1 2 3 5 8 what is the 7th number in the sequence. what is the 9th number in the sequence
1
1 + 0 = 1
1 + 1 = 2
1 + 2 = 3
2 + 3 = 5
3 + 5 = 8
5 + 8 = 13
8 + 13 = 21
13 + 21 = 34
21 + 34 = 55
1, 1, 2, 3, 5, 8, 13, 21, 34, 55
Hope this helps! :)
The 7th number in the Fibonacci sequence is 13 and the 9th number is 21.
Explanation:The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones. The sequence starts with 1, 1, and then each subsequent number is the sum of the two numbers before it.
To find the 7th number in the sequence, we can continue the pattern: 1, 1, 2, 3, 5, 8. So, the 7th number is 13.
To find the 9th number in the sequence, we continue the pattern: 1, 1, 2, 3, 5, 8, 13, 21. So, the 9th number is 21.
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A professional soccer player buys 16 acres of land. He plans to build a house on the land but wants to use 2/8 of the land to put his own soccer field and facility on. How many acres of land will the soccer player need for his soccer field and facility?
Final answer:
To determine the acreage needed for the soccer field and facility, the fraction 2/8 is simplified to 1/4, and then 1/4 of the total land (16 acres) is calculated, resulting in 4 acres required for the soccer field and facility.
Explanation:
The question asks about a professional soccer player who has purchased 16 acres of land and wishes to use 2/8 of the land for a soccer field and facility. To find out how many acres will be needed for the soccer field and facility, we perform a simple calculation:
First, reduce the fraction 2/8 to its simplest form, which is 1/4. Then, multiply the total acreage by this fraction to determine the acreage for soccer use:
16 acres × 1/4 = 4 acres
Therefore, the soccer player will need 4 acres of land for his soccer field and facility.
he complex formsof the sine and cosine functions are:ieexixix2sinand2cosixixeex, where eis the Euler e, and 1i.Differentiate the complex form of cosxto showthatxxdxdsin)(cos.[Hints:The Quotient Rule may be used, but it is not necessaryif you factor out a constant first.√−1=iis a constant. In fact, you can use it to multiply a fraction by iiif that helps...]
Answer:
[tex]\cos'(z) = -\sin(z)[/tex]
Step-by-step explanation:
According to the information given by the problem
[tex]\sin(z) = {\displaystyle \frac{e^{iz} - e^{-iz} }{2i} }[/tex]
[tex]\cos(z) = {\displaystyle \frac{e^{iz} + e^{-iz} }{2} }[/tex]
Now, if you compute the derivative of [tex]\cos[/tex] you get that
[tex]\cos'(z) = {\displaystyle \frac{ ie^{iz}-i e^{iz} }{2} } = {\displaystyle \frac{ i ( e^{iz}- e^{iz} )}{2} }\\\\= {\displaystyle \frac{ i ( e^{iz}- e^{iz} )}{2} } *\frac{i}{i} }\\\\= {\displaystyle - \frac{ e^{iz}- e^{iz} }{2i} } = -\sin(z)[/tex]
A store owner puts in an order for product X and product Y for a total of 4,000 units. It costs $0.10 per item to ship of product X and $0.04 per item to ship product Y. If the total shipping cost is $352, which system of equations can be used to determine how much of product X and product Y the store owner bought?
Answer:
x + y = 4,000
0.1x + 0.04y = 352
Step-by-step explanation:
Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought.
Answer:
C. [tex]\left \{ {{x+y=4,000} \atop {0.1x+0.04y=352}} \right.[/tex]
Step-by-step explanation:
Edge 2020
Which of the following is not a condition required for a valid ANOVA F-test for a completely randomized experiment? 1. The sample chosen from each of the populations is sufficiently large. 2. The variances of all the sampled populations are equal. 3. The sampled populations all have distributions that are approximately normal. 4. The samples are chosen from each population in an independent manner.
Answer:
1. The sample chosen from each of the populations is sufficiently large.
Step-by-step explanation:
ANOVA is known as analysis of variance and it is a statistical process which is used to test the degree to which two or more groups vary or differ in an experiment.
The variances of all the sampled populations are usually equal. The sampled populations all have distributions that are approximately normal and the samples are chosen from each population in an independent manner.
The one that is not a condition required for a valid ANOVA F-test for a completely randomized experiment is A. The sample chosen from each of the populations is sufficiently large.
It should be noted that ANOVA is known as analysis of variance. It is a statistical process that is used to test the degree to which two or more groups vary in an experiment.When doing the ANOVA, it should be noted that it isn't necessary for all the sample chosen from each of the populations to be sufficiently large.Learn more about ANOVA on:
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Build a fence around his rectangular garden. The length is 30 feet. The width is 6 yards. How many feet of fencing is needed
A farmer sells 9.2 kilograms of apples and pears at the farmer's market.
3
5
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer: 1 .9 kilograms
Step-by-step explanation:
9.5/5=1.9
since the apples account for 4 parts, we multiply 4 times the value of 1 of the 5 parts
4x1.9=7.6
Now we subtract from the original weight of everything.
9.5-7.6=1.9
Final answer:
To calculate the weight of pears sold, subtract the weight of apples (three-fifths of the total) from the total weight of 9.2 kg, resulting in 3.68 kg of pears sold at the market.
Explanation:
The farmer sells 9.2 kilograms of apples and pears in total. To find out the weight of the pears sold, we need to first calculate the weight of the apples, which is three-fifths (3/5) of the total weight, and subtract that from the total weight.
First, calculate the weight of apples:
Multiply the total weight (9.2 kg) by 3/5 to find the weight of the apples.9.2 kg times 3/5 = 5.52 kg (weight of apples).Then, to find the weight of the pears sold, subtract the weight of the apples from the total weight:
Subtract the weight of apples (5.52 kg) from the total weight (9.2 kg).9.2 kg - 5.52 kg = 3.68 kg (weight of pears).Therefore, the farmer sold 3.68 kilograms of pears at the farmer's market.
Marlon asks a friend to think of a number from 5-11. What is the probability that marlins friend will think of the number 9
Answer:
14.29% probability that Marlon's friend will think of the number 9
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
There are 7 numbers from 5 to 11(5,6,7,8,9,10,11)
9 is one of them
So
[tex]p = \frac{1}{7} = 0.1429[/tex]
14.29% probability that Marlon's friend will think of the number 9
If mZABF = (7x + 20)". mZFBC = (2x - 5) ".
and mZABC = 159º. find the value of x.
Answer:
x = 16
Step-by-step explanation:
We assume that ray BF lies between BA and BC, so that ...
∠ABF +∠FBC = ∠ABC
(7x +20) +(2x -5) = 159
9x +15 = 159 . . . .collect terms
9x = 144 . . . . . . . subtract 15
x = 16 . . . . . . . . . .divide by 9
how many lines of symmetry does a circle have
Answer:
acircle has infintely many axes of symmetry
Step-by-step explanation:
Answer:
infinite
Step-by-step explanation:
there are no corners what so ever and a circle is symetric, so no matter how many lines you put it will be correct
exponential form of log_7(7)=2x + 2
Answer:
The value of x is -1/2 .
Step-by-step explanation:
You have to use Logarithm Law,
[tex] {a}^{x} = y => log_{a}(y) = x[/tex]
So for this question :
[tex] log_{7}(7) = 2x + 2[/tex]
[tex]1 = 2x + 2[/tex]
[tex]2x = - 1[/tex]
[tex]x = - \frac{1}{2} [/tex]
One side of the triangle is 5 meters longer than the second side. The third side is four times. If the perimeter of the triangle is 65 meters, how long is the second side
Answer - 10 meters
10 meters
Explanation:
Using the ratios given, we have the three sides in terms of one side.
(x, x+5, 4x)
The perimeter is the sum of all of them:
65 = x+x+5+4x ; 65 = 6x+5
6x = 60 ; x = 10
x+5 = 15
4x = 40
Which of the following does not affect your property insurance premium?
Answer: your age
Step-by-step explanation:
An item which is not a factor that affects a person's automobile insurance premiums is: c. the color of your car.
What is an insurance company?An insurance company is a business firm that is establish to collect premium from all of the insured for losses which may or may not occur, so they can easily use this cash to compensate or indemnify for losses incurred by those having high risk.
here, we have,
Generally, some examples of the factors that typically determines and affects a person's automobile insurance premiums include the following;
Driving record.
Duration of car usage.
Owner's age
Location
Gender
Where owner lives.
Credit score
Year, make, and model of car.
Overall value of the car.
In conclusion, we can infer and logically deduce that the color of a car is not a factor that affects a person's automobile insurance premiums.
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Complete Question:
Which of the following is not a factor that affects your auto insurance premiums?
a year, make, and model of your car
b. where you live
c. the color of your car
d. overall value of your car
The student senate at a local university is about to hold elections. A representative from the women’s sports program and a representative from the men’s sports program must both be elected. Two candidates, an incumbent and a challenger, are vying for each position and early polling results are presented next. A hypothesis test must be performed to determine whether the percentages of supporting votes are different between the two incumbent candidates. In a sample of 100 voters, 67 said that they would vote for the women’s incumbent candidate. In a separate sample of 100 voters, 55 said they would vote for the men’s incumbent candidate. Let p1 and p2 be the proportions of supporting votes for the incumbent candidates representing women’s and men’s sports programs, respectively. Which of the following are the competing hypotheses to determine whether the percentages of supporting votes are different between the two incumbent candidates?a. H0: p1 ≤ p2, Ha: p1 > p2.b. H0: p1 ≥ p2, Ha: p1 < p2.c. H0: p1 = p2, Ha: p1 ≠ p2.d. H0: p = p0, Ha: p ≠ p0.
The competing hypotheses to determine whether the percentages of supporting votes are different between the two incumbent candidates are: a. H0: p1 ≤ p2, Ha: p1 > p2.
Null Hypothesis (H0): This represents the statement we want to test and assume to be true in the absence of evidence to the contrary. The null hypothesis (H0) states that there is no difference between the proportions of supporting votes for the incumbent candidates representing women's and men's sports programs.
Alternative Hypothesis (Ha): This represents the statement we want to disprove or find evidence for against the null hypothesis. The alternative hypothesis (Ha) states that the proportion of supporting votes is greater for the women's incumbent candidate than for the men's incumbent candidate.
What fraction of the samples have a salt content greater than 38 grams?
Answer:
6/17
Step-by-step explanation:
A company conducted a survey to see whether it's new toothpaste was more popular with children or adults. Of the adults surveyed about 11% use the toothpaste. Compare this with the percentage of children who use the toothpaste. Select a true statement.
Answer:
c 24%use it thats what I got
The B is A greater percentage of children (28%) use the toothpaste is correct.
For each data value in the table, move the decimal point over 2 spots.
We focus on the children's row only since each answer choice has of children mentioned, and also the instructions make this mention as well.
There are 7 children who use the toothpaste out of 25 children overall.
So 6/25 = 0.24 = 24% of the children use the toothpaste.
What is the formula for probability?
The probability is the ratio of the number of outcomes divided by the total number of outcomes.
This is a greater percentage than the adults (11%) who use toothpaste.
The 11% comes from 8 adults out of 75 adults
Total who use the toothpaste,
So 8/75 = 0.1067 = 10.67%
which rounds to 11%.
Therefore the probability for toothpaste is 24% and 11% for adults.
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Which is a reasonable first step that can be used to solve the equation 2(x + 6) = 3(x - 4) + 5?
a.
Combine like terms, 3 and 5, on the right side of the equation
b.
Distribute 2 to x on the left side of the equation and 3 to x on the right of the equation.
c.
Distribute 2 to (X+6) and 3 to (x-4)
d.
Apply the subtraction property of equality to move the 6 from the left side of the equation to the right side.
Find the diameter of a circle with a
circumference of 27 centimeters. Use 3.14
for T. Round to the nearest tenth.
To find the diameter of a circle when given the circumference, use the formula d = C/π. Substituting the given circumference of 27 centimeters and using 3.14 for π, the diameter of the circle is approximately 8.6 centimeters.
Explanation:This problem pertains to the mathematical concept of geometry, specifically dealing with the properties of a circle. Given the circumference of the circle, we can use the formula for the circumference of a circle, which is C = πd where C is the circumference, π is a constant (approximately 3.14), and d is the diameter of the circle. We're told the circumference is 27 centimeters, and we're using 3.14 for π.
To find the diameter, we'll need to rearrange the formula to solve for d, which gives us d = C/π. Substituting the given numbers, we find d = 27 / 3.14. Performing this calculation gives a diameter of approximately 8.6 centimeters when rounded to the nearest tenth.
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To find the diameter of a circle with a circumference of 27 cm, divide the circumference by π (3.14). This results in a diameter of approximately 8.6 cm.
Finding the Diameter of a Circle
To find the diameter of a circle given its circumference,
we use the formula for the circumference: C = πd
where C is the circumference and d is the diameter.
Given that the circumference C is 27 centimeters and π is approximately 3.14,
we can solve for the diameter as follows:
First, set up the equation: 27 = 3.14d
Next, solve for d by dividing both sides by 3.14: d = 27 / 3.14
Perform the division to get: d ≈ 8.6
Therefore, the diameter of the circle is approximately 8.6 centimeters.
Suppose the monthly charges for cell phone plans are normally distributed with mean mu equals $ 70 and standard deviation sigmaequals$16. (a) Draw a normal curve with the parameters labeled. (b) Shade the region that represents the proportion of plans that charge less than $54. (c) Suppose the area under the normal curve to the left of Xequals$54 is 0.1587. Provide an interpretation of this result.
Answer:
a) The picture with the normal distribution is attached.
b) The picture with the normal distribution with the region X<54 shaded is attached.
c) The area under the normal curve to the left of X=$54 is 0.1587.
This means that there is a probability P=0.1587 that a randomly picked monthly charge for a cell phone plan is under $54.
It can also be interpreted that approximately 15.87% of the cell phone plans have a monthly charge that is less than $54.
Step-by-step explanation:
Problem 6 Calculate the test statistic. (A z-score and a t-score are examples of test statistics.) In order to present your final results with a numerical accuracy of 0.01, it will be necessary to perform your intermediate calculations with an accuracy of 0.001. Part 1 The cost of a daily newspaper varies from city to city. A study was done to test the claim that the average cost of a daily newspaper is $0.35 . Twenty cities were surveyed; the average cost was $0.30 with a standard deviation of $0.03 . t= 7.45 Part 2 Your statistics instructor claims that 60 percent of the students who take an Elementary Statistics class go through life feeling more enriched. For some mysterious reason, most people don’t believe this. You decide to check this out on your own. You randomly survey 80 former Elementary Statistics students and find that 25 feel more enriched as a result of the class. z= 2.90
Answer:
Check the explanation
Step-by-step explanation:
1) The null and alternative hypothesis is ,
[tex]H_0 : \mu = 0.35[/tex]
[tex]H_a : \mu \neq 0.35[/tex]
Test statistic = t =
= [tex](T - \mu ) / s / \sqrt n[/tex]
= [tex](0.30 - 0.35 ) / 0.03 / \sqrt 20[/tex]
Test statistic = t = - 7.45
2) Solution :
The null and alternative hypothesis is
[tex]H_0[/tex] : p = 0.60
[tex]H_a[/tex] : p > 0.60
[tex]\hat p[/tex] = x / n = 25 / 60 = 0.417
P0 = 0.60
1 - P0 = 1 - 0.60 = 0.40
Test statistic = z = 0.417
= [tex]\hat p - P0 / [\sqrtP0 * (1 - P0 ) / n][/tex]
= [tex]0.417 - 0.60/ [\sqrt(0.60 *(1 - 0.60) / 80 ][/tex]
Test statistic = z = -3.34