3. The mean throwing distance of a football for Marco, a high school freshman quarterback, is 40 yards. The team coach tells Marco to adjust his grip to get more distance. The coach records the distances for 20 throws. For the 20 throws, Marco's mean distance was 41 yards with a standard deviation of 2 yards. The coach thought the different grip helped Marco throw farther than 40 yards. Assume the throw distances for footballs are normal. Conduct a hypothesis test using a 5% level of significance. Round all calculated values to two decimal places and clearly show all four steps of conducting a hypothesis test to earn full credit. 1. Let P represent the mean throwing distance for Marco after the use of the different grip. Then H0:p = 41 and Hazpfwll. 2. The sample size is large enough. 3:41,??.=20,s=2 _ 4141\" _ r 3. T _ 2 _ 0'0 and the P- value is found using tcdf with 20 degrees of freedom. It is 2* (0.3113)=0.6226 4. The Pvalue is greater than the level of significance so we reject the null and reject the alternative. There is evidence to support the claim