ectmath.com/alekscgi/x/Isl.exe/10_u-IgNslkr7j8P3jH-lixuiHIKonusKqwxL4LqHw5_zIL9AVamxxVhZ3y67T6qBJKRyy8a7U Let's shake on Its A random sample of 12-ounce milkshakes from 13 fast-food restaurants had the following number of calories. 391 472 $10 580 613 375 700 642 473 608 450 476 504 Sand data to Excul Assume the population standard deviation is a = 92. Part: 0 / 3 Part 1 of 3 Explain why it is necessary to check whether the population Is approximately normal before constructing a confidence Interval. X 5 It is necessary to check whether the population is approximately normal because the sample standard deviation is not known Part: 1 / 3 Part 2 of 3 Following Is a dotplot of these data. Is it reasonable to assume that the population is approximately normal? 400 450 350 It is jy|reasonable to assume that the population is approximately normal. Part: 2 / 3 Part 3 of 3 If appropriate, construct a 99.5% confidence Interval for the mean calorie count for all 12- ounce milkshakes sold at fast-food restaurants. Round the answers to at least two dec places! A 99.5% confidence interval for the mean calorie count for all fast-food restaurants is