Question

We wish to see if the dial indicating the oven temperature for a certain model oven is properly calibrated. Four ovens of this model are selected at random. The dial on each is set to 300° F, and after one hour, the actual temperature of each is measured. The temperatures measured are 305°, 310°, 300°, and 305°. Assuming that the actual temperatures for this model when the dial is set to 300° are normally distributed with mean μ, we test whether the dial is properly calibrated by testing the hypotheses

H0: μ = 300, Ha: μ ≠ 300.

a) Compute the test statistic.

b) Draw a conclusion at a = .05 and a = .10: i) Based on test statistic approach and ii) Based on the p-value approach.

Answer 1