Given the following hypotheses: H 0 : = 400 H 1 : 400 A

Given the following hypotheses:
H₀: μ = 400
H₁: μ ≠ 400
A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the 0.01 significance level:
a. State the decision rule.
b. Compute the value of the test statistic.
c. What is your decision regarding the null hypothesis?