1. An exercise science student measures the velocity of tosses thrown by 10 cricket bowlers. The observations are below. 142.3 138.6 140.3 143.1 138.5 135.4 137.9 146.9 138.1 144.9 Suppose we now want to test if the mean velocity is greater than 80. a. Carry out the test (either by hand or using software). In doing so, complete these steps: i. Write the null and alternative hypotheses (note this is a one-sided test). ii. Write the rejection region, if we use 0. = .05. iii. Calculate the test statistic, to. iv. State your decision - either say that you reject the null hypothesis, or that you fail to reject the null hypothesis