A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.7% of the 455 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) Define the Random Variables X and P', in words. O Xis the proportion of all runners that die, and P'is the number of all runners that die. O Xis the proportion of people who ran and died in the eight-year period, and P'is the number of people who ran and died in the eight-year period. O Xis the number of all runners that die, and P' is the proportion of all runners that die. O Xis the number of people who ran and died in the eight-year period, and P'is the proportion of people who ran and died in the eight-year period. O Part (b) Which distribution should you use for this problem? (Round your answers to four decimal places.) P-O Explain your choice. O The Student's t-distribution should be used because V npg s 10, which implies a small sample. O The standard normal distribution should be used because we are interested in proportions. O The binomial distribution should be used because the two outcomes are "the runner died" and "the runner did not die." O The Student's t-distribution should be used because we do not know the standard deviation.
A university conducted a study of whether running is healthy for men and women over age 50. During the first eight years of the study, 1.7% of the 455 members of a fitness association died. We are interested in the proportion of people over 50 who ran and died in the same eight-year period. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) Define the Random Variables X and P', in words. O Xis the proportion of all runners that die, and P'is the number of all runners that die. O Xis the proportion of people who ran and died in the eight-year period, and P'is the number of people who ran and died in the eight-year period. O Xis the number of all runners that die, and P' is the proportion of all runners that die. O Xis the number of people who ran and died in the eight-year period, and P'is the proportion of people who ran and died in the eight-year period. O Part (b) Which distribution should you use for this problem? (Round your answers to four decimal places.) P-O Explain your choice. O The Student's t-distribution should be used because V npg s 10, which implies a small sample. O The standard normal distribution should be used because we are interested in proportions. O The binomial distribution should be used because the two outcomes are "the runner died" and "the runner did not die." O The Student's t-distribution should be used because we do not know the standard deviation.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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