Question

The waiting time to check out of a supermarket has had a population mean of 8.09 minutes.​ Recently, in an effort to reduce the waiting​ time, the supermarket has experimented with a system in which there is a single waiting line with multiple checkout servers. A sample of 80 customers was​ selected, and their mean waiting time to check out was 7.21 minutes with a sample standard deviation of 4.6 minutes. Complete parts​ (a) through​ (d).

A) At the 0.01 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 8.09 minutes?

B) At the 0.01 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 8.09 minutes?

C) Interpret the meaning of the P-value in this problem.

D) Compare your conclusion in (a) and (b).

Answer 1

Part a and b see the decision and conclusions is same for both of them

P value is the probability of supporting the null hypothesis.

Part a and b gives the same conclusion

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