215 HW#4, Summer 2011

# 215 HW#4, Summer 2011 - Homework #4 (65 points) STA 215:...

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STA 215: Introductory to Applied Statistics Name(Print) . 1. 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 300º F, and, after one hour, the actual temperature of each is measured. The temperatures measured are 305º, 310º, 300º, and 305º. Assuming that the actual temperatures for this model when the dial is set to 300º are normally distributed with mean μ , we test whether or not the dial is properly calibrated by testing the hypotheses (a) o H : = ( ), a H : ( ) (3 points) (b) Compute the sample mean. (1 point) (c) Compute the sample variance. (5 points) (d) Calculate the test statistic. (5 points) (e) Find the information about p-value. (4 points) (g) What is your conclusion? (3 points)

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## 215 HW#4, Summer 2011 - Homework #4 (65 points) STA 215:...

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