We Wish to See If the Electronic Control Indicating the Oven

question 84

Multiple Choice

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:  = 300 versus H_a:   300.Are the data statistically significant at the 5% significance level?

• A)Yes,because the P-value is less than 0.05.
• B)Yes,because the sample mean = 305°F,which is much higher than 300°F.
• C)No,because a difference of 5°F (between and  )as compared with 300°F is very small (insignificant).
• D)No,because the P-value is greater than 0.05.

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