Question

We wish to see if the electronic control indicating the oven temperature for a certain model oven is properly calibrated. Four ovens of this model are selected at random. The electronic control on each is set to 300°F; after 1 hour, the actual temperature of each is measured. The temperatures measured are 305°F, 310°F, 300°F, and 305°F. Assume that the distribution of the actual temperatures for this model when the electronic control is set to 300°F is Normal. To test if the electronic control is properly calibrated, we will test the following hypotheses: H₀: μ = 300 versus H_a: μ ≠ 300. Are the data statistically significant at the 5% significance level?

A) No, because a difference of 5°F (between  and μ) as compared with 300°F is very small (insignificant)

B) No, because the P-value is greater than 0.05.

Answer 1

Note that, we reject null hypothesis if

Pvalue     . .......   is level of significance

Otherwise we accept null hypothesis.