2. Suppose the weight of fish caught from the Santa Monica Pier is normally distributed. From a random sample of 20 recently caught fish, the sample mean is found to be 22.0 ounces and the sample variance is found to be 25.0 ounces. The Fish and Wildlife Department states that the true mean weight is 24.0 ounces. Fishermen claim that due to increased pollution in the bay, the true mean weight is less than 24.0 ounces. Test the claim of the Fish and Wildlife Department at α = 0.05 (or 5%). [14 pts total] What is the null hypothesis? [2 pt] a. Ο μ = 24 Ο μ < 24 Ο μ > 24 b. What is the one-sided alternative hypothesis? [2 pt] μ = 24 Ο μ < 24 C. Ο μ # 24 ☐ μ > 24 μ = 24 Draw a t-distribution for the alternative hypothesis. Label the mean and shade in the area(s) where you can reject the null hypothesis. [4 pts] d. Calculate and report the appropriate test statistic (3 sig figs) [4 pts] and make your conclusion [2 pts] Reject the null hypothesis Value of test statistic: Fail to reject the null hypothesis 2