Fresh Donuts! A donut company says that their donuts remain fresh for over 2 days on average. We tested a random sample of donuts for how long they remained fresh. The data are below. Assume donut freshness is normally distributed.

days

2.8

2.6

2

2

2

2.3

2.5

2.2

1.9

1.6

2.6

2.2

2.1

2

1.8

2.8

3.3

2.8

2.2

2.1

Evaluate the company's claim using a hypothesis test. (a) Write the hypothesis for the test.

• H_o: = 2 H_a: 2
• H_o: = 2 H_a: < 2
• H_o: = 2 H_a: > 2
• H_o: = 2.29 H_a: 2.29
• H_o: = 2.29 H_a: < 2.29
• H_o: = 2.29 H_a: > 2.29

(b) What is the pp-value for this test? (round to 4 decimal places) (c) Based on the sample data, we should conclude that

• There is sufficient evidence at the =0.05=0.05 level to say that the average donut stays fresh for more than 2 days.
• There is not sufficient evidence at the =0.05=0.05 level to say that the average donut stays fresh for more than 2 days.