Question A:

The CEO of a large manufacturing company is curious if there is a difference in productivity level of her warehouse employees based on the region of the country the warehouse is located. She randomly selects 35 employees who work in warehouses on the East Coast (Group 1) and 35 employees who work in warehouses in the Midwest (Group 2) and records the number of parts shipped out from each for a week. She finds that East Coast group ships an average of 1287 parts and knows the population standard deviation to be 348. The Midwest group ships an average of 1449 parts and knows the population standard deviation to be 298.

Using a 0.01 level of significance, test if there is a difference in productivity level. What are the correct hypotheses for this problem?

Question 14 options:

a. H0: 1= 2 ; H1: 1 2

b. H0: 1 2 ; H1: 1 2

c. H0: 1 2 ; H1: 1 = 2

d. H0: 1 2 ; H1: 1 2

e. H0: 1 = 2 ; H1: 1 = 2

f. H0: 1 > 2 ; H1: 1 = 2

Question B:

The plant-breeding department at a major university developed a new hybrid boysenberry plant called Stumptown Berry. Based on research data, the claim is made that from the time shoots are planted 90 days on average are required to obtain the first berry. A corporation that is interested in marketing the product tests 60 shoots by planting them and recording the number of days before each plant produces its first berry. The corporation wants to know if the mean number of days is different from the 90 days claimed.

A random sample was taken and the following test statistic was z = -2.15 and critical values of z = 1.96 was found.

What is the correct decision and summary?

Question 20 options:

a. RejectH₀, there is enough evidence to support the corporation's claim that the mean number of days until a berry is produced is different from 90 days claimed by the university.

b. RejectH₁, there is not enough evidence to reject the corporation's claim that the mean number of days until a berry is produced is different from 90 days claimed by the university.

b. AcceptH₀, there is enough evidence to support the corporation's claim that the mean number of days until a berry is produced is different from 90 days claimed by the university.

c. RejectH₀, there is not enough evidence to support the corporation's claim that the mean number of days until a berry is produced is different from 90 days claimed by the university.

d. Do not rejectH₀, there is not enough evidence to support the corporation's claim that the mean number of days until a berry is produced is different from 90 days claimed by the university.