(Solved): There are 5 questions total thank you! Show all your work as needed for full credit (10 points each) ...

Show all your work as needed for full credit (10 points each). Just writing the answers will not eam you full credit. Assume that are testing the claim that the mean age of the prison population in one city is less than 25 years. Sample data are summarized as n = 25, * = 24.4 years, and s = 9.2 years. Use a significance level of a = 0.05. Use the given information to answer the questions. 1) Calculate the test statistics, Round to 3 decimal places. (You must show how you set 1) up and calculate the test statistics. Only having calculator work will not count for the test statistics.) 4 2) rund the p-value and make a decision (reject or fail to reject the null hypotheses). Round each value to 3 decimal places. (You may use Excel or a calulator to find the p-value, but you must write what you input into Excel/calculator below) Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student distribution, or neither. Choose the correct distribution that will be use to test each claim. 3) a. Claim:u= 107. Sample data: n = 17.x = 101, s= 15.1. The sample data appear to come 3) from a normally distributed population with unknown u ando. n= b. Claim: u = 981. Sample data: n = 23, 5 =912, s= 30. The sample data appear to come from a normally distributed population with o - 30 Assume that you want to test the claim that the paired sample data (matched pains) come from a population for which the mean difference is d - Compute the value of the test statistic Round the test statistic to four decimal places. 4) 28 31 20 25 26 27 33 35 y 26 27 26 25 29 32 33 34 Solve the problem. 5) 5) A newspaper article about the results of a poll states in theory, the results of such a poll. in 99 cases out of 100 should differ by no more than 5 percentage points in either direction from what would have been obtained by interviewing all voters in the United States." Find the sample size suggested by this statement Shade and label the missing parts in graph for a 99% confidence interval. (You may use Excel or a calculator to find the t-score. Round the Z-score to two decimal places) Area to the left Area in the middle = Area to the right Z= b. The sample site is