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Given the following hypotheses: H0: μ = 100 H1: μ ≠ 100 A random sample of...

Given the following hypotheses: H0: μ = 100 H1: μ ≠ 100 A random sample of six resulted in the following values: 118 105 112 119 105 111 Using the 0.05 significance level, can we conclude that the mean is different from 100?

a. What is the decision rule? (Negative answer should be indicated by a minus sign. Round the final answers to 3 decimal places.) Reject H0: μ = 100 and accept H1: μ ≠ 100 when the test statistic is___.

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 H0?

d. Estimate the p-value___.

e-1. Construct a 95% confidence interval. Confidence interval is from___ to___.

e-2. Use the results of the confidence interval to support your decision in part (c). ____H0.

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