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.
During busy political seasons, many opinion polls are conducted. In apresidential race, how do you think the participants in polls are generally selected?Discuss any issues regarding simple random, stratified, systematic, cluster, andconvenience sampling in these polls. What about other types of polls, besides political?
Please could you explain why 0.5 was added to each upper limpit of the intervals.Thanks
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
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