In a climate survey it was determined that in a random sampl

In a climate survey, it was determined that in a random sample of 24 days, the average temperature in Chicago at 2:00 PM in the months of July and August is 71.72 degrees with a standard deviation of 3.419 degrees. Using this information, a 95% confidence interval for the average is (70.276, 73.164). Which of the following is the appropriate interpretation of this interval?

a) We are certain that 95% of the days in the months of August and July will have a temperature at 2:00 PM between 70.276 and 73.164

b) We are 95% confident that the average daily temperature for the months of July and August at 2:00 PM for the days recorded is between 70.276 and 73.164.

c) We are 95% confident that the proportion of all days\' temperatures will fall between 70.276 and 73.164.

d) We cannot determine the proper interpretation of this interval.

e) We are 95% confident that the average daily temperature for the months of July and August at 2:00 PM is between 70.276 and 73.164.

[Please provide reasoning]

Solution

e) We are 95% confident that the average daily temperature for the months of July and August at 2:00 PM is between 70.276 and 73.164.