Given the following hypotheses: the true mean equals 100 (the null) and the true mean does not equal 100 (the alternate), a random sample of six resulted in the following values: 118, 105, 112, 119, 105, 111. Using = .05, can we conclude the true mean differs from 100? In the process of answering this question: a) state the decision rule, b) compute the value of the test statistic, c) make a decision, d) estimate (approximately at least) the p-value.
H0 : mean = 100
Ha : mean is not equal to 100
Test statistic :
x - mean / sd ...
The solution computes the true mean, and p-value of a hypothesis test.