Given the following hypotheses: H 0 : = 100 H 1 : 100 A

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, and 111. Assume a normal population. Using the .05 significance level, can we conclude the mean is different from 100?

a. State the decision rule.

b. Compute the value of the test statistic.

c. What is your decision regarding the null hypothesis?

d. Compute the p-value.