An analysis was completed comparing the forecasted high temperature with the actual hightemperature in a 3-day forecast at 31 randomly selected times throughout the year. Theresearcher would like to know how accurate the high temperature forecast, so for each forecastperiod, the difference between the forecasted high temperature and the actual hightemperature was calculated. The average difference between the forecast and the actualtemperature was -0.419 F with a standard deviation of 3.704F. Using this information, answerthe following questions:

a. Construct a 95% confidence interval for the mean difference between all actual hightemperatures and forecasted temperatures.

b. Develop a hypothesis test to see if there is enough evidence to suggest that the forecastis accurate.

c. Using the Confidence Interval Only make a conclusion and interpretation of thehypothesis test above.