A food delivery service claims that it delivers orders to customers in 39.6 minutes or less, on average. However, many people report that their recent orders have taken much longer to arrive. A secret shopping firm would like to test the company's claim. The firm collected data from 243 randomly selected orders and found that the average delivery time was 39.86 minutes with a standard deviation of 5.66 minutes. Using a significance level of 0.5%, test the hypothesis that the average delivery time from this food delivery service is greater than 39.6 minutes. Use the critical value method.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The standard hormat
Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If
more than one critical value exists, enter the solutions using a comma-separated list.
Determine the test statistic. Round the solution to four decimal places.
Determine the appropriate conclusion for this hypothesis test.
O The sample data provide sufficient evidence to reject the null hypothesis that the average food
delivery time from this company is 39.6 minutes or less and thus we conclude that average food
delivery time is likely greater than 39.6 minutes.
O The sample data provide sufficient evidence to reject the alternative hypothesis that the average
food delivery time is greater than 39.6 minutes and thus we conclude that the average food delivery
time from this company is 39.6 minutes or less, as advertised.
O The sample data do not provide sufficient evidence to reject the null hypothesis that the average
food delivery time from this company is 39.6 minutes or less and thus we conclude that average food
delivery time is likely 39.6 minutes or less, as advertised.
O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the
average food delivery time is greater than 39.6 minutes and thus we conclude that the average food
delivery time from this company is likely greater than 39.6 minutes.
76°F
Mostly clear
R
Transcribed Image Text:The standard hormat Determine the critical value(s) for this hypothesis test. Round the solution(s) to four decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. Determine the test statistic. Round the solution to four decimal places. Determine the appropriate conclusion for this hypothesis test. O The sample data provide sufficient evidence to reject the null hypothesis that the average food delivery time from this company is 39.6 minutes or less and thus we conclude that average food delivery time is likely greater than 39.6 minutes. O The sample data provide sufficient evidence to reject the alternative hypothesis that the average food delivery time is greater than 39.6 minutes and thus we conclude that the average food delivery time from this company is 39.6 minutes or less, as advertised. O The sample data do not provide sufficient evidence to reject the null hypothesis that the average food delivery time from this company is 39.6 minutes or less and thus we conclude that average food delivery time is likely 39.6 minutes or less, as advertised. O The sample data do not provide sufficient evidence to reject the alternative hypothesis that the average food delivery time is greater than 39.6 minutes and thus we conclude that the average food delivery time from this company is likely greater than 39.6 minutes. 76°F Mostly clear R
A food delivery service claims that it delivers orders to customers in 39.6 minutes or less, on average.
However, many people report that their recent orders have taken much longer to arrive. A secret shopping
firm would like to test the company's claim. The firm collected data from 243 randomly selected orders
and found that the average delivery time was 39.86 minutes with a standard deviation of 5.66 minutes.
Using a significance level of 0.5%, test the hypothesis that the average delivery time from this food
delivery service is greater than 39.6 minutes. Use the critical value method.
State the null and alternative hypothesis for this test.
Ho: ? V
H₁:?
Determine if this test is left-tailed, right-tailed, or two-tailed.
O left-tailed
two-tailed
Oright-tailed
Should the standard normal (2) distribution or Student's (t) distribution be used for this test?
The Student's t distribution should be used
O The standard normal (2) distribution should be used
Determine the critical value(s) for this hypothesis test. Round the solution (s) to four decimal places. If
more than one critical value exists, enter the solutions using a comma-separated list.
76°F
Transcribed Image Text:A food delivery service claims that it delivers orders to customers in 39.6 minutes or less, on average. However, many people report that their recent orders have taken much longer to arrive. A secret shopping firm would like to test the company's claim. The firm collected data from 243 randomly selected orders and found that the average delivery time was 39.86 minutes with a standard deviation of 5.66 minutes. Using a significance level of 0.5%, test the hypothesis that the average delivery time from this food delivery service is greater than 39.6 minutes. Use the critical value method. State the null and alternative hypothesis for this test. Ho: ? V H₁:? Determine if this test is left-tailed, right-tailed, or two-tailed. O left-tailed two-tailed Oright-tailed Should the standard normal (2) distribution or Student's (t) distribution be used for this test? The Student's t distribution should be used O The standard normal (2) distribution should be used Determine the critical value(s) for this hypothesis test. Round the solution (s) to four decimal places. If more than one critical value exists, enter the solutions using a comma-separated list. 76°F
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