Answered: A university conducted a study of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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, 1.2% of the 453 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.)

Which distribution should you use for this problem? (Round your answers to four decimal places.)

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Construct a 97% confidence interval for the population proportion of people over 50 who ran and died in the same eight-year period.

(i) State the confidence interval. (Round your answers to four decimal places.)

(ii) Sketch the graph.

(iii) Calculate the error bound. (Round your answer to four decimal places.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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