One of the authors compiled a list of actual high temperatures and the corresponding list of three-day-forecast

Question:

One of the authors compiled a list of actual high temperatures and the corresponding list of three-day-forecast high temperatures. The difference for each day was then found by subtracting the three-day-forecast high temperature from the actual high temperature; the result was a list of 31 values with a mean of -0.419° and a standard deviation of 3.704°. Use the i to construct the confidence interval estimate of the population mean.
a. Construct a 95% confidence interval estimate of the mean difference between all actual high temperatures and three-day-forecast high temperatures.
b. Does the confidence interval include 0°? If the confidence interval does include 0°, can we conclude that the three-day-forecast temperatures are inaccurate? Distribution
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