Question $10$

$20$ pts

Listed below are actual high temperatures $($in Fahrenheit$)$ and the high temperatures that were forecast one day earlier. Use a $\mathrm{.}05$ significance level to test the claim that the mean forecast high temperatures were lower than the mean actual high temperatures. Please use the Critical Value Method.

Actual high temperatures and the high temperatures that were forecast one day earlier.

$\backslash$table$[[$Actual High,$80,77,81,85,75],[\backslash$table$[[$Forecast One$],[$Day Earlier$]],78,75,81,85,76]]$

Please write out the entire process on your own piece of paper. Your work should include the formulas used, all the values plugged into the formula, diagrams when appropriate and conclusion. You may type your complete sentence answer, and answers to any follow$-$up questions in the text box below. Then, proceed to the next problem. You will be sending a picture of this work to me through email immediately after the exam is over.