3. Population Means - Dependent Samples

Nightingale shoes is looking at the productivity of a sample of its stores. They look at the average number of shoe sales per month in 2019 and compare the results with the average number of shoe sales per month in 2020. Based on the data in the table below, test the claim that the average number of monthly shoe sales is more in 2019 than in 2020 using a 0.1 significance level. Assume that the population standard deviations are unknown.

		Month	2019	2020
		January	2187	2148
		Febrary	2722	2701			n
		March	3383	1686			df
		April	3043	462
		May	3018	1624
		June	2796	2692			sd
		July	3093	2722
		August	3988	2822
		September	2594	2643
		October	2721	2677
		November	3038	2617
		December	4044	3824

3a. Write the hypotheses in symbolic form, determine if the test is right-tailed, left-tailed, or two tailed and explain why.

3b. Calculate the critical value, the test statistic, and p-value. Show calculations below.

Explain your calculations and include your results.

Critical Value

Test Statistic

P-value

3c. Make a decision about the null hypothesis using both the Critical Value and P-Value Methods.

Explain how you arrived at your results.

3d. Restate your conclusion in nontechnical terms.