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7.43 Losing Weight News reports tell us that the average American is overweight. Many of us have tried to trim down to our weight when we finished high school or college. And, in fact, only 19% of adults say they do not suffer from weight-loss woes." Suppose that the 19% figure is correct, and that a ran- dom sample of n = 100 adults is selected. 10 %3D a. Does the distribution of p, the sample proportion of adults who do not suffer from excess weight, have an approximate normal distribution? If so, what is its mean and standard deviation? b. What is the probability that the sample proportionp exceeds .25? c. What is the probability that p lies within the interval .25 to .30?

7.43 Losing Weight News reports tell us that the average American is overweight. Many of us have tried to trim down to our weight when we finished high school or college. And, in fact, only 19% of adults say they do not suffer from weight-loss woes." Suppose that the 19% figure is correct, and that a ran- dom sample of n = 100 adults is selected. 10 %3D a. Does the distribution of p, the sample proportion of adults who do not suffer from excess weight, have an approximate normal distribution? If so, what is its mean and standard deviation? b. What is the probability that the sample proportionp exceeds .25? c. What is the probability that p lies within the interval .25 to .30?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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7.43 Losing Weight News reports tell us that the average American is overweight. Many of us have tried to trim down to our weight when we finished high school or college. And, in fact, only 19% of adults say they do not suffer from weight-loss woes." Suppose that the 19% figure is corect, and that a ran- dom sample of n = 100 adults is selected. 10 %3D a. Does the distribution of p, the sample proportion of adults who do not suffer from excess weight, have an approximate normal distribution? If so, what is its mean and standard deviation? b. What is the probability that the sample proportion p exceeds .25? c. What is the probability that p lies within the interval .25 to .30? d. What might you conclude about p if the sample proportion exceeded .30?
Transcribed Image Text:7.43 Losing Weight News reports tell us that the average American is overweight. Many of us have tried to trim down to our weight when we finished high school or college. And, in fact, only 19% of adults say they do not suffer from weight-loss woes." Suppose that the 19% figure is corect, and that a ran- dom sample of n = 100 adults is selected. 10 %3D a. Does the distribution of p, the sample proportion of adults who do not suffer from excess weight, have an approximate normal distribution? If so, what is its mean and standard deviation? b. What is the probability that the sample proportion p exceeds .25? c. What is the probability that p lies within the interval .25 to .30? d. What might you conclude about p if the sample proportion exceeded .30?
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