His team takes a random sample of stores to determine if the research hypothesis that the average number of employees per store is greater than 200 is true. The sample statistics are summarized below:

sample size = 37 mean = 205 (employees) standard deviation = 22 (employees) confidence level = 0.97

Follow the hypothesis test process in order to draw the correct statistical conclusion.

What is the standard error?

What is the t-statistic?

Understanding the tails of the distribution used in hypothesis testing:

This is a two-tail lower-tail upper-tail analysis.

What is the appropriate -value for this test?

In what proportion of the samples would you expect to make a type I error? Specify as a decimal, not a percentage.

What is your statistical conclusion?

Do not reject the null hypothesis.

Reject the null hypothesis.

Explain the implications of this conclusion.

We are unable to provide evidence to refute the null hypothesis.

We conclude that the average number of employees per store is not equal to 200 with 97% confidence.

We conclude that the average number of employees per store is greater than 200 with 97% confidence.

We conclude that the average number of employees per store is less than 200 with 97% confidence.