The average height for an American is 5,9 I want to test whether stat students are shorter than the average American. To do so I select 61 ams students randomly and measure their heights . I find that the average height is 5.58 ft with a standard devotion of .35 ft assume a confidence/ significance level of 99% 1. Formulate a hypothesis test to assess the claim whether statistic students are shorter than the average American be sure to indicate whether the test is left right or two sided. 2. Using the data provided above calculate the test statistic 3. Calculate the critical value corresponding to the 99% confidence level 4 using the critical value method determine whether the test statistic is significant and provide a formal conclusion to the hypothesis test