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

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 300F; after 1 hour, the actual temperature of each is measured. The temperatures measured are 305F, 310F, 300F, and 305F. Assume that the distribution of the actual temperatures for this model when the electronic control is set to 300F is Normal. To test if the electronic control is properly calibrated, we will test the following hypotheses: H0: = 300 versus Ha: 300. Assume the standard deviation for the distribution of actual temperatures for all ovens of this model when the electronic control is set to 300F is = 4. At the 5% significance level, what is the power of our test when, in fact, = 310F? a. 0.0345 b. 0.9959 c. 0.9655 d. 0.9988

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