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
March	3383	1686
April	3043	462
May	3018	1624
June	2796	2692
July	3093	2722
August	3988	2822
September	2594	2643
October	2721	2677
November	3038	2617
December	4044	3824

n = df =

d^ = sd = 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.