In: Statistics and Probability
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
From a random sample of
75
dates, the mean record high daily temperature in a certain city has a mean of
82.31°F.
Assume the population standard deviation is
14.08°F.
Width of the confidence interval = 84.98 - 79.64 = 5.34
Width of the confidence interval = 85.50 - 79.12 = 6.38
So, 95% confidence interval has broader width.