Question: An administrative assistant claims that monthly supplies for the office costs an average of $2,265. The office manager believes the amount is too high. They authorize you to settle the dispute. You take a simple Random sample \((n=20)\) of the invoices over the last three years. Upon reviewing the invoices, you determine that the mean cost is $2,120 with a standard deviation of $125. Test the administrative assistant's claim that monthly office supplies cost an average of $2,265 or more versus the office manager's claim that the mean is actually less than $2,265. You may assume \(\alpha=.05\). and the population is symmetric and mounded.

1. (2) \(\mathrm{H}_{0}:\) \(\mathrm{H}_{\mathrm{a}}\) :

B. (2) What is the critical value of the test statistic?

C. (2) What is the calculated value of the test statistic?

D. (2) What is the p-value of the test statistic?

E. (2) Label the diagram to the right and shade the rejection region (s).

E. (2) State and support your decision about the null hypothesis.

G. (2) Construct a 95% confidence interval for the mean cost of the supplies.

H. (2) What would you tell the administrative assistant and the office manager about their dispute?

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