Countdown: Days:-0 Time:-05:46:46 A Statistics class is estimating the mean height of all female students Select one answer. at their college. They collect a random sample of 36 female students 10 points and measure their heights. The mean of the sample is 65.3 inches. The standard deviation is 5.2 inches. What is the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. A. (56.5, 74.1) B. (63.6, 67.0) C. (63.8, 66.8) D. (63.9, 66.7) Question 2 Students in a statistics class are conducting a survey to estimate the Type numbers in mean number of units students at their college are enrolled in. The the boxes. students collect a random sample of 47 students. The mean of the Part 1: 5 points sample is 12.3 units. The sample has a standard deviation of 1.9 Part 2: 5 points units. 10 points What is the 95% confidence interval for the average number of units that students in their college are enrolled in? Assume that the distribution of individual student enrollment units at this college is approximately normal. Your answer should be rounded to 2 decimal places. Question 3 A group of engineers developed a new design for a steel cable. They Type numbers in need to estimate the amount of weight the cable can hold. The weight the boxes. limit will be reported on cable packaging. The engineers take a Part 1: 5 points random sample of 40 cables and apply weights to each of them until Part 2: 5 points they break. The 40 cables have a mean breaking weight of 775.3 Ib. The standard deviation of the breaking weight for the sample is 14.9 10 points Ib. Find the 90% confidence interval to estimate the mean breaking weight for this type cable. Your answer should be rounded to 2 decimal places