The Harper Corporation of East Johnston is a strong public advocate for humane w

Question

The Harper Corporation of East Johnston is a strong public advocate for humane working conditions. Despite high temperatures in the summer and potentially high energy costs, the company has claimed for several vears that the average temperature in their East Johnston plant is 80° or less in June, July, and August. The Advocates for Safer Working Conditions group does not believe that Harper has met that goal and they want to prove their case (they believe that the average temperature is actually more than 80°). In an effort to prove their case, the Advocates randomly take temperature readings on 9 different days in June, July, and August in the East Johnston plant. The readings are (in degrees Fahrenheit): 1. 84 81 79 84 78 85 81 83 79 Use these data and an alpha of.05 to conduct this test. Assume that temperature readings in the plant are normally distributed. (10 pts.)

Explanation / Answer

Sol:

Null hypothesis:

H0:mu=80

Alternative Hypothesis:

H1:mu>80

Right tail t test.

Perfrm t test for mean.

Level of significance =alpha=0.05

Test statistic:

t=sample mean-pop mean/sample stddev/sqrt(n)

sample mean=81.55556

sd= 2.554952

sample size=n=9

pop mean=80

t=81.55556-80/2.554952(9)

t=1.83

p=0.0526

p>0.05

Do not reject Null hypothesis.

Accept Null Hypothesis.

there is no suffiicient statistical evidence at 5% level of significance to support the claim that the average temperature is more than 80.

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