1. Given the sample mean is $34,020, the sample standard deviation is $2,200, n = 32, determine the 90% confidence interval estimate for the population mean. Write a confidence statement.
2.Given the t test statistic is -2.01, the alpha level is 0.05, n = 30, and the alternative hypothesis was u < 28 pounds, write your decision and conclusion based on the classical approach. Explain how you reached your decision
3.Given the null hypothesis: u = 55, alternative hypothesis: u < 55, alpha = 0.02.Describe where the critical region would be and what the critical boundary value would be
4.Given the following information: The null hypothesis: u = 200, the alternative hypothesis: u <200, the sample mean is 192.5, the standard deviation from the population is 40, n = 50, alpha = 0.05. Using either the classical or p-value approach, state your decision and explain how you reached it (5 points). The write your conclusion (2 points) and whether this would be a Type 1 or Type II error and explain what this means
5.Find the p-value for the following situation:The null hypothesis: u = 22.5, the alternative hypothesis: u > 22.5, the sample mean is 24.5, the standard deviation of the population is 6, n = 36