A random sample of nine local banks shows their deposits (in billions of dollars) 3 years ago and their deposits (in billions of dollars) today. Use a 0.05 significance level to test the claim that the average in deposits for the banks is greater today than it was 3 years ago? In this example, Ha is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as he deposits 3 years ago minus today. 8 7 6 d 5 4 3 Bank 2 1 3 years ago 11.42 8.41 3.98 7.37 2.28 1.10 1.00 0.9 1.35 16.69 9.44 6.53 5.58 2.92 1.88| 1.78 1.5 1.22 -5.21 -103-2.s5 1-,4- 1- .13 Today State the original claim in symbolic form. Sa 73 State the null and alternative hypothesis in symbolic form. Ha:ud 3 Ha: d7 3 Right tailed test) Two-tailed test Left tailed test Circle the one that applies: Find the test statistic. a-ud t : Sd Tm a .05 n two tail df Find the critical value(s). t = t Conclusion: (Reject / Fail to Reject) Ho; there ( is / is not) sufficient evidence to support the claim that the average in deposits for the banks is greater today than it was 3 years ago. ]1

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