Questions 1-5 are based on the following Let X be a normallydistributed random variable. A random sample of size n = 9 yieldsthe following data: x 98 93 61 75 58 75 95 77 70 1 The variance ofthe sample is, a 210.75 b 201.21 c 191.67 d 187.33 2 The varianceof x? is, a 62.229 b 74.083 c 23.417 d 34.572 3 You want to build a95% confidence interval for the population mean. The margin oferror (MOE) for the interval is, a 12.836 b 11.159 c 10.705 d 9.4854 The 95% interval estimate is, a 66.841 89.159 b 67.064 88.936 c68.515 87.485 d 69.464 86.536 5 You want to build an intervalestimate that would capture the population mean within ±3 from thesample mean 95% of the time. What is the minimum sample size toyield such an interval? Round the standard deviation from the abovesample data to the nearest integer for the planning value. a 104 b97 c 89 d 81
