The accompanying data represent the wait time (in minutes) for a random sample of 40 visitors to a popular attraction in a large amusement park. Use the sample data to complete parts (a) through (d). Click the icon to view the data for wait times. (a) Construct a relative frequency histogram of the data. Comment on the shape of the distribution. Choose the correct graph below. OA. A Relative Freq. Q 0.6- 0 60 Wait Time (min.) What is the shape of the distribution? 0 -1 30 Wait Time (min.) 60 (b) Construct a boxplot of the data. Are there any outliers? Choose the correct graph below. O B. A Relative Freq. O A. Yes, there is(are) OB. No 0.6- outlier(s). 0 60 Wait Time (min.) O A. The distribution is right-skewed because the peak is between 0 and 5 minutes and the right tail is much longer than the left tail. OB. The distribution is bell-shaped and roughly symmetric about its peak between 25 and 30 minutes. O C. The distribution is right-skewed because the peak is between 5 and 10 minutes and the right tail is much longer than the left tail. O D. The distribution is left-skewed because the peak is between 55 and 60 minutes and the left tail is much longer than the right tail. B. 0 Q 30 60 Wait Time (min.) □ C. A Relative Freq. ✔ 0.6 0 60 Wait Time (min.) O C. XX 0 30 60 Wait Time (min.) Q Are there any outliers in the boxplot? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Q O A. No, because the sample data are highly skewed but there are no outliers. O B. Yes, because the sample data are highly skewed and there are outliers. OC. Yes, because even though there are no outliers, the sample data are highly skewed to the right. D. No, because the sample data is roughly symmetric about the sample mean and there are no outliers. (d) Construct inter a 95% confidence interval for the population mean wait time at the popular attraction. (Round to two decimal places as needed. Use ascending order.) O A. We are 95% confident that the mean waiting time for the popular attraction is between minutes and B. There is a 95% probability that the mean waiting time for the popular attraction is between minutes and minutes. OD. minutes. 0.6 A Relative Freq. Q 0 60 Wait Time (min.) D. + (c) Is a large sample size needed to use Student's t-distribution to obtain a confidence interval for the population mean wait time at the popular attraction? Explain. ỏ X X 30 Wait Time (min.) 60 Wait times 6 16 4 5 4 31 7 6 22 8 9 44 11 10 33 0 25 5 8 5 0 21 6 20 10 26 14 52 2 11 29 035 13 5 7 8 13 9 16