7:57 PM Fri Jul 23 awww-awu.connectmath.com $ 39% Question 5 of 11 (10 paints) | Attempt 1 oil 1 | View question in a popun | @ 10m 45 Remaining B.1 Section Exprose Let's shake on it: A random sample of 12-ounce milkshakes from 12 fast-food restaurants had the following number of calories. 375 399 450 700 504 608 642 591 473 472 613 580 Send date to Excel Assume the population standard deviation is o = 94. Part 1 of 3 Explain why it is necessary to check whether the population is approximately normal before constructing a confidence interval. It is necessary to check whether the population is approximately normal because the sample size is less than or equal to 30 Part 2 of 3 Following is a dotplot of these data. Is it reasonable to assume that the population is approximately normal? .... 450 500 600 780 It Is reasonable to assume that the population is approximately normal. Part: 2 / 3 Part 3 of 3 If appropriate, construct a 90% confidence Interval for the mean calorie count for all 12-ounce milkshakes sold at fast-food restaurants. Round the answers to at least two decimal places. A 90% confidence interval for the mean calorie count for all 12-ounce milkshakes sold at fast- food restaurants is