Oven thermostats were tested by setting them to 350 degrees F and measuring the actual temperature of the oven. In a sample of 67 thermostats, the average temperature was 348.2 degrees F and the standard deviation was 5.1 degrees 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 degrees F?
e) How many thermostats must be sampled so that a 95% confidence interval specifies the mean to within + 0.8 degrees F?