TEST 1 NAME: 1. There is interest at the American Savings and Loan as to whether there is a difference between average daily balances in checking accounts that are joint accounts (two or more members per account) versus single accounts (one member per account). To test this, a random sample of checking accounts was selected with following results: Single Account Joint Account n=20 n=30 S=$256 S=$300 =1245 Write the null and alternative hypothesis, pooled standard deviation, t critical value using alpha=0.05, t- test statistic, decision rule, decision and conclusion. Show all work to earn full credit.2. Construct a 95% confidence interval estimate for the difference between two population means based on the following information: Population 1 |Population 2 x1 = 355 x2 = 320 01 = 50 02 = 40 n1 = 50 12 = 803. Given the following null and alternative hypotheses HO : u1 2 12 HA : ull