CoursHeroTranscribedText A sample of size 40 yields the following sorted data. Note that I have x-ed out

CoursHeroTranscribedText

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A sample of size 40 yields the following sorted data. Note that I have x-ed out (39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below. 14.1 46.0 49.3 53.0 54.2 54.7 54.7 54.7 54.8 55.4 57.6 58.9 60.8 60.9 61.0 58.2 58.3 58.7 61.1 63.0 64.3 65.6 66.3 66.6 67.0 67.9 70.1 70.3 72.1 72.4 72.9 73.5 74.2 75.3 75.4 75.9 76.5 77.0 x 88.9 (a) Calculate range, IQR, and median of these data. (b) Given that the mean of these data is 63.50 (exactly) and the standard devia- tion is 12.33, what proportion of the data lie within one standard deviation of the mean? (c) How does your answer to (b) compare to the empirical rule approximation? (d) Ralph decides to delete the smallest obser- vation, 14.1, from these data. Thus, Ralph has a data set with n = 39. Calculate the range, IQR, and median of Ralph's new data set. Calculate the mean of (e) Refer to (d). Ralph's new data set. A sample of size 40 yields the following sorted data. Note that I have x-ed out (39) (the sec- ond largest number). This fact will NOT pre- vent you from answering the questions below. 14.1 46.0 49.3 53.0 54.2 54.7 54.7 54.7 54.8 55.4 57.6 58.9 60.8 60.9 61.0 58.2 58.3 58.7 61.1 63.0 64.3 65.6 66.3 66.6 67.0 67.9 70.1 70.3 72.1 72.4 72.9 73.5 74.2 75.3 75.4 75.9 76.5 77.0 x 88.9 (a) Calculate range, IQR, and median of these data. (b) Given that the mean of these data is 63.50 (exactly) and the standard devia- tion is 12.33, what proportion of the data lie within one standard deviation of the mean? (c) How does your answer to (b) compare to the empirical rule approximation? (d) Ralph decides to delete the smallest obser- vation, 14.1, from these data. Thus, Ralph has a data set with n = 39. Calculate the range, IQR, and median of Ralph's new data set. Calculate the mean of (e) Refer to (d). Ralph's new data set.