(b). Based on your sample, graph the 95% confidence interval for the population mean of the wait times in the drive-thru for all customers. Enter the lower and upper limits on the graph to show your confidence interval. For the point (), enter the restaurant chain's claim of 3.93 minutes. (c) 0.00 95% confidence interval: 0.00 2.00 4.00 5.00 10.00 6.00 8.00 10.00 X 5 G Does the 95% confidence interval you constructed contradict the restaurant chain's claim? Choose the best answer from the choles below. O No, the confidence interval does not contradict the claim. The restaurant chain's claim of 3.93 minutes is inside the 95% confidence interval. ◇ No, the confidence interval does not contradict the claim. The restaurant chain's claim of 3.93 minutes is outside the 95% confidence interval. O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.93 minutes is inside the 95% confidence interval. O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.93 minutes is outside the 95% confidence interval. X A chain of hamburger restaurants claims that the population mean of the wait times in their drive-thru for all customers is 3.93 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. Number of customers Take Sample 40 40 Sample standard Population standard Sample mean deviation deviation 3.81 2.65 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". Sample size: X G Point estimate: Standard error: Population standard deviation: Critical values Margin of error: F0.005 2.576 Critical value: F0.010 2.326 = 95% confidence interval: 70.025 1.960 Compute F0.050 = 1.645 70.100 = 1.282 ?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question

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(b). Based on your sample, graph the 95% confidence interval for the population mean of the wait times in the drive-thru for all customers.
Enter the lower and upper limits on the graph to show your confidence interval.
For the point (), enter the restaurant chain's claim of 3.93 minutes.
(c)
0.00
95% confidence interval:
0.00
2.00
4.00
5.00
10.00
6.00
8.00
10.00
X
5
G
Does the 95% confidence interval you constructed contradict the restaurant chain's claim? Choose the best answer from the choles below.
O No, the confidence interval does not contradict the claim. The restaurant chain's claim of 3.93 minutes is inside the
95% confidence interval.
◇ No, the confidence interval does not contradict the claim. The restaurant chain's claim of 3.93 minutes is outside
the 95% confidence interval.
O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.93 minutes is inside the 95%
confidence interval.
O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.93 minutes is outside the 95%
confidence interval.
X
Transcribed Image Text:(b). Based on your sample, graph the 95% confidence interval for the population mean of the wait times in the drive-thru for all customers. Enter the lower and upper limits on the graph to show your confidence interval. For the point (), enter the restaurant chain's claim of 3.93 minutes. (c) 0.00 95% confidence interval: 0.00 2.00 4.00 5.00 10.00 6.00 8.00 10.00 X 5 G Does the 95% confidence interval you constructed contradict the restaurant chain's claim? Choose the best answer from the choles below. O No, the confidence interval does not contradict the claim. The restaurant chain's claim of 3.93 minutes is inside the 95% confidence interval. ◇ No, the confidence interval does not contradict the claim. The restaurant chain's claim of 3.93 minutes is outside the 95% confidence interval. O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.93 minutes is inside the 95% confidence interval. O Yes, the confidence interval contradicts the claim. The restaurant chain's claim of 3.93 minutes is outside the 95% confidence interval. X
A chain of hamburger restaurants claims that the population mean of the wait times in their drive-thru for all customers is 3.93 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.
Number of customers
Take Sample
40
40
Sample standard
Population standard
Sample mean
deviation
deviation
3.81
2.65
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".
Sample size:
X
G
Point estimate:
Standard error:
Population standard deviation:
Critical values
Margin of error:
F0.005 2.576
Critical value:
F0.010 2.326
=
95% confidence interval:
70.025 1.960
Compute
F0.050 = 1.645
70.100
= 1.282
?
Transcribed Image Text:A chain of hamburger restaurants claims that the population mean of the wait times in their drive-thru for all customers is 3.93 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. Number of customers Take Sample 40 40 Sample standard Population standard Sample mean deviation deviation 3.81 2.65 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". Sample size: X G Point estimate: Standard error: Population standard deviation: Critical values Margin of error: F0.005 2.576 Critical value: F0.010 2.326 = 95% confidence interval: 70.025 1.960 Compute F0.050 = 1.645 70.100 = 1.282 ?
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