$($a$)$ Hypothesis Testing

An investor will invest in a business scheme only if they are assured of an average $$180$ monthly income. The investor has a sample of $300$ months' returns which has a mean of $$190$ and a standard deviation of $$75.$ Assuming a significance level of $5\%,$ should they invest in this scheme?

$($b$)$ Used Car Dealership

$\backslash$table$[[,$Car Age $($Years$),$Price $($Dollars$)],[1,4,6300],[2,5,5700],[3,7,4500],[4,8,4100],[5,9,3100],[6,10,2100]]$

$($a$)$ Use the regression technique to analyze the relationship between the age and price of a used car.

$($b$)$ Predict the price of a $6-$year old car that is sold by a car dealer company.