Question 1:

In an effort to improve productivity among employees on a loading dock, a manager sets up a competition comparing the average number of boxes unloaded per day for two employees. The manager believes that employee B averages less boxes per day than employee A. Over 13 randomly selected days, employee A unloads an average of 205 boxes/day. Over 16 randomly selected days, Employee B unloads an average of 201 boxes/day. The population standard deviation for both employess is 15 boxes/day. Construct the confidence interval using a 2% significance level to test the claim. Let 1= Employee A

a. State the null and alternative hypotheses:_____________.

b. Determine the confidence level, C:_____________.

c. Identify the appropriate TI-84 menu and tail of the test:_____________.

d. Determine the lower limit of the confidence interval:_____________.

e. Determine the upper limit of the confidence interval:_____________.

f.State the conclusion based on CI (include what, why, and interpret in context):_____________.

Copy/paste symbols as needed: ₁, ₂, p₁, p₂, _d, , =, <, , >,