An automotive part must be machined to close tolerances to be acceptable to customers. Production specifications call for a maximum variance in the lengths of the parts of .0004. Suppose the sample variance for 30 parts turns out to be s2 = .0005. Use α = .05 to test whether the population variance specification is being violated.
a. State the null and alternative hypotheses.
H0: σ2 =
Ha: σ2 >
b. Calculate the value of the test statistic (to 2 decimals).
c. The p-value is
d. What is your conclusion?