A random sample of 12-ounce milkshakes from 14 fast- food restaurants had the following number of calories. 504 399 580 476 450 591 510 700 608 472 642 613 573 375 Assume the population standard deviation is o = 90. a. Explain why it is necessary to check whether the population is approximately normal before constructing a confidence interval. b. Following is a dot plot of these data. Is it reasonable to assume that the population is approximately normal? 350 400 450 500 550 600 650 700 750 c. If appropriate, construct a 95% confidence interval for the mean number of calories for all 12-ounce milkshakes sold at fast-food restaurants. If not appropriate, explain why not.

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