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Final Assignment Part B Inference [Two Populations), Chi-Squared Tests 1. A study comparing children's reading age (in months) was developed using identical twin toddlers. One set of 6 twins played for 2 hours each day with educational toys (experimental group), the corresponding set of 6 twins played for 2 hours each day with non-educational toys (control group}. The mean difference in reading age between the experimental group and control group of 6 sets of twins was -2.33 months and the standard deviation of the sample difference was 2.16 months. Set up a hypothesis test to determine ifthere is a difference between the 2 groups and use the appropriate sample test statistic to determine if the difference in reading age is significant at the 5% level. (15 points) Final Assignment Part C - AN OVA [Make sure that you read chapter 15 of your eBook before you attempt the following exercise) 1. A bank has taken a random sample of 4 customers for each set of vari0us criteria to determine their level of customer satisfaction on a scale of O to 10. The data appear in the table below. (20 points) Factor 1: Factor 2: Type of contact Time of day Automated Bank Representative 6, 5, 8, 4 8, 7, 9, 9 Row 1 f: 5.75 J7: 8.25 37: 7.00 i: 4.75 f: 8.25 E: 6.50 i: 5.50 i: 9.50 7.50 m Column 1 E: 5.33 Column 2 i: 3.57 Total 5:100 For the two measurement problem, use an a = 0.05 level of signicance. Conduct appropriate hypothesis tests and conclude whether to reject or not reject the claim that: a. there is no difference in population mean satisfaction depending on time of contact, b. there is no difference in population mean satisfaction depending on type of customer contact and c. there is no interaction between type of contact and time of contact