A chain of hamburger restaurants claims that the population mean of the wait times in their drive-thru for all customers is 4.52 minutes. You work for a competitor and you want to test that claim. To do so, you select a random sample of 40 of the chain's drive-thru customers and record the wait time in the drive-thru for each. Assume it is known that the population standard deviation of the wait times in the drive-thru for the hamburger chain's restaurants is 2.91 minutes. Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of the wait times in the drive-thru for all customers. Then state whether the confidence interval you construct contradicts the restaurant chain's claim. (If necessary, consult a list of formulas.) (a)Click on "Take Sample" to see the results from your random sample of 40 customers. Take Sample Number of customers Sample mean Sample standard deviation 40 4.69 2.76 Population standard deviation 2.91 Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute Based on your sample, graph the 95% confidence interval for the population mean of the wait times in the drive-thru for all customers. Does the 95% confidence interval you constructed contradict the restaurant chain's claim? Choose the best answer from the choices below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Related questions

Question

A chain of hamburger restaurants claims that the population mean of the wait times in their drive-thru for all customers is

4.52

minutes. You work for a competitor and you want to test that claim. To do so, you select a random sample of

of the chain's drive-thru customers and record the wait time in the drive-thru for each. Assume it is known that the population standard deviation of the wait times in the drive-thru for the hamburger chain's restaurants is

2.91

minutes.

Based on your sample, follow the steps below to construct a

95%

confidence interval for the population mean of the wait times in the drive-thru for all customers. Then state whether the confidence interval you construct contradicts the restaurant chain's claim. (If necessary, consult a list of formulas.)

(a)Click on "Take Sample" to see the results from your random sample of

customers.

Take Sample

Number of customers	Sample mean	Sample standard deviation
40	4.69	2.76

Population standard deviation
2.91

Enter the values of the sample size, the point estimate for the population mean, the population standard deviation, and the critical value you need for your

95%

confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute

Based on your sample, graph the

95%

confidence interval for the population mean of the wait times in the drive-thru for all customers.

Does the

95%

confidence interval you constructed contradict the restaurant chain's claim? Choose the best answer from the choices below.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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