The Journal of Travel conducted research by taking two large groups (viewed as populations) to determine whether there are differences in the characteristics of the two groups of holiday travellers: [Group A] travellers that are less than 50 years old. [Group B] travellers that are 50 or more years old. One item of interest was the amount spent for a one-day trip. The results are shown below. Cost of one-day trip Group A: Under 50 years old (n=480) Group B: Over 50 years old (n=325) $0 up to 50 6% 1% 5 a) The mean cost of a one-day trip for Group A is $ and for Group B $ The standard deviation of the cost of a one-day trip for Group A is (rounded to nearest cent) $ and for Group B $. b) For which set of travelers would the median be a better measure of central tendency than the mean? 50 up to 100 13 100 up to 200 21 9 200 up to 300 29 13 300 up to 400 11 20 400 up to 500 12 17 500 up to 750 2 14 750 up to 1000 3 10 1000 up to 2000 2 7 2000 up to 3000 1 4 (Base your answer on results obtained by using your calculator.) A. Neither group B. Under 50 Group A C. All travellers D. Over 50 Group B c) For Group A, 384 of those surveyed would have spent less than A. $400 B. $750 C. $300 D. $500 d) The coefficient of variation for Group A is Group B is relatively more variable than Group A True False and for Group B is 22 79 The table below shows the number of one company's stores located in each of 50 regions. Complete parts (a) through (c) below. 62 55 565 83 128 21 25 196 126 65 100 119 159 82 47 100 156 42 341 138 10 201 69 23 85 406 40 17 28254 70 18 14 309 60 76 82 34 33 40 35 57 70 230 24 113 40 103 ... The population mean is = . (Type an integer or a decimal. Round to one decimal place as needed.) The population variance is o = (Round to the nearest integer as needed.) NOTE: To calculate the variance, do not round standard deviation value. This is to avoid the rounding error. The population standard deviation is = (Type an integer or a decimal. Round to one decimal place as needed.) b. What percentage of the 50 regions have stores within 1, 2, or 3 standard deviations of the mean? The percentage within 1 standard deviation of the mean is %. (Type an integer or a decimal. Do not round.) The percentage within 2 standard deviations of the mean is %. (Type an integer or a decimal. Do not round.) The percentage within 3 standard deviations of the mean is %. (Type an integer or a decimal. Do not round.) c. Compare your findings in part (b) with what would be expected on the basis of the empirical rule. Are you surprised at the results in part (b)? A. No, because the percentage values are close to those predicted by the empirical rule. B. Yes, because all the data are within 2 standard deviations of the mean. C. Yes, because a much higher percentage of regions are within 1 standard deviation of the mean than would be expected on the basis of the empirical rule. D. Yes, because a much lower percentage of regions are within 1 standard deviation of the mean than would be expected on the basis of the empirical rule.