Q2 18.2. Christmas spending, (Part I) The 2020 holiday retail season had been marked by somewhat lower self-reported consumer spending than was seen during the comparable period in 2019. To get an estimate of consumer spending. 436 randomly sampled UK adults were surveyed about their 2020 spending. Daily consumer spending for the six- day period prior to Christmas. averaged 84.71. A 95% confidence interval based on this sample is (80.31, 89.11). Determine whether the following statements are true or false, and make sure you could explain your reasoning if asked. ED 60 4D 20 D llllllI D 50 100 150 200 250 3-00 Spending (a) This confidence interval is not valid since the distribution of spending in the sample is right skewed. (b) We are 95% confident that the average spending of these 436 UK adults is between 80.31 and 89.11. (c) In order to decrease the margin of error of a 95% confidence interval to a third of what it is now. we would need to use a sample 3 times larger. (d) The margin of error for the reported interval is 4.40. (e) A 90% confidence interval would be narrower than the 95% confidence interval. (f) 95% of such random samples would have a sample mean between 30.31 and 39.11. (g) We are 95% confident that the average spending of all UK adults in the six-day period prior to Christmas in 2020 is between 30.31 and 89.11. [1] l1] l1] l1] l1] l1] l1]