The population mean waiting time to check out of a supermarket has been 4 minutes. Recently, in an effort the waiting time, the supermarket has experimented with a system in which infracted cameras use body hear and in-store software to determine how many lanes should be opened. A sample of 100 customers was selected, and their mean waiting time to check out was 3.10 minutes, with a sample standard deviation of 2.5 minutes. a. At the 0.05 level of significance, using the critical value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes? b. At the 0.05 level of significance, using the p -value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes? c. Interpret the meaning of the p -value in this problem. d. Compare your conclusions in (a) and (b).
The population mean waiting time to check out of a supermarket has been 4 minutes. Recently, in an effort the waiting time, the supermarket has experimented with a system in which infracted cameras use body hear and in-store software to determine how many lanes should be opened. A sample of 100 customers was selected, and their mean waiting time to check out was 3.10 minutes, with a sample standard deviation of 2.5 minutes. a. At the 0.05 level of significance, using the critical value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes? b. At the 0.05 level of significance, using the p -value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes? c. Interpret the meaning of the p -value in this problem. d. Compare your conclusions in (a) and (b).
Solution Summary: The author explains how to test whether there is evidence that the population mean waiting time to checkout is less than 4 minutes using the critical value approach.
The population mean waiting time to check out of a supermarket has been 4 minutes. Recently, in an effort the waiting time, the supermarket has experimented with a system in which infracted cameras use body hear and in-store software to determine how many lanes should be opened. A sample of 100 customers was selected, and their mean waiting time to check out was 3.10 minutes, with a sample standard deviation of 2.5 minutes.
a. At the 0.05 level of significance, using the critical value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes?
b. At the 0.05 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 4 minutes?
c. Interpret the meaning of the p-value in this problem.
d. Compare your conclusions in (a) and (b).
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
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