In Exercises 1 and 2, use the following wait times (minutes) a...

Question

In Exercises 1 and 2, use the following wait times (minutes) at 10:00 AM for the Tower of Terror ride at Disney World (from Data Set 33 “Disney World Wait Times” in Appendix B).

35 35 20 50 95 75 45 50 30 35 30 30

d. The accompanying normal quantile plot is obtained by using all 50 wait times at 10:00 AM for the Tower of Terror ride at Disney World. Based on this normal quantile plot, do the sample data appear to be from a normally distributed population?

Normal quantile plot showing wait times for the Tower of Terror ride, assessing normal distribution of data points.

Accepted Answer

Hello, everyone. Let's take a look at this question together. The given normal quantile plot is created using 50 recorded wait times in minutes for a popular roller coaster at an amusement park at 2:00 p.m. based on data collected over multiple days. Based on this normal quantile plot, do the sample data appear to be from a normally distributed population? Give a reason. Is it answer choice A, yes, because the points closely follow a straight line. Answer choice B, no, because the points show a clear S-shaped curvature. Answer choice C yes, because the points are scattered randomly with no clear pattern, or answer choice D no, because the points are evenly spaced but not aligned with a straight line. So in order to solve this question, we have to recall what a normally distributed population would look like to determine if the sample data appears to be from a normally distributed population based on the quantile plot, and we know That the normal quantile plot is used to assess whether a data set follows a normal distribution, and to evaluate normality, we check for the following, such as observing the pattern of points, where if the points in the QQ plot closely follow a straight line, the data is approximately normally distributed, and deviations from the line suggest skewness or non-normality. As well as outliers appearing far from the line indicate extreme values that may disrupt normality. So looking at the plot of the data for the wait times for the roller coaster, we know that in this plot, most of the points align closely with the straight reference line with only minor deviations, so there are no significant bends, gaps, or clusters that suggest heavy skewness or multimodal. Behavior. Therefore, this suggests that the wait time data is approximately normal. And so from our interpretation of the given plot, we know that the wait time data is approximately normal, therefore, answer choice A is the correct answer. As we know that the sample data does appear to be from a normally distributed population because the points closely follow a straight line. So answer choice A is the correct answer, and all other answer choices are incorrect. I hope you found this video to be helpful. Thank you and goodbye.

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