Oven thermostats were tested by setting them to350°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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