Oven thermostats were tested by setting them to 350°F and measuring the actual temperature of the oven. In a sample of 67 thermostats, the average temperature was 348.2°F and the standard deviation was 5.1°F. a) Find a 90% confidence interval for the mean oven temperature. b) Find a 95% confidence interval for the mean oven temperature. c) What is the confidence level of the interval (347.5, 348.9)? d) How many thermostats must be sampled so that a 90% confidence interval specifies the mean to within ±0.8°F? e) How many thermostats must be sampled so that a 95% confidence interval specifies the mean to within ±0.8°F?

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