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.
a. Using the .05 significance level, determine the decision rule? (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
b. Compute the value of the test statistic. (Round your answer to 2 decimal places.)
c-1. What is your decision regarding the H0?
c-2. Can we conclude the mean is different from 100?
d. Estimate the p-value.