Given the following hypothesis:

H₀: = 100

H₁: 100

A random sample of six resulted in the following values:

114

120

119

108

113

108

Using the 0.01 significance level, can we conclude that the mean is different from 100?

a. State the decision rule. (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.)

Reject H₀: = 100 and accept H₁: 100 when the test statistic is (Click to select) inside the interval outside the interval ( , ).

b. Compute the value of the test statistic. (Round the final answer to 2 decimal places.)

Value of the test statistic

c. What is your decision regarding the null hypothesis?

(Click to select) Reject Do not reject H₀.

d. Determine or estimate the p-value.

(Click to select) One Close to zero Zero

e-1. Construct a 99% confidence interval. (Round the final answer to 2 decimal places.)

Confidence interval is from to .

e-2. Use the results of the confidence interval to support your decision in part (c).

(Click to select) Reject Do not Reject H₀.