T Distribution At times we like to test commonly held beliefs to make sure they are still valid. So a sample of 16 carrots is chosen from one garden (organic). Lengths found in inches were: 13.2 13.8 15.2 14.5 12.5 14.3 15.0 14.8 13.9 130 129 14.2 14.9 13.8 13.7 14.3 . Find the mean and standard deviation : . What distribution does this sample follow: Verify conditions: . Write the hypotheses for a test that the mean length differs from the claim of 13 inches. a = .10 significance level . Find the critical value z* or t*; whichever is appropriate based on the sample given . We decide to test the claim that the mean length differs from the claim of 13 inches. Perform a hypothesis test Show all steps and use tables, then verify with calc