13.7 A sample of young men, continued. Suppose that the blood cholesterol levels of all men age 20 to 34 years follows the normal distribution with mean miu=188milligrams per decilliter (mg/dl) and standard deviation sigma=41 mg/dl. (a) Choose an SRS of 100 men from this population. Waht is the sampling distribution of xbar? What is the probability that xbar takes a value between 185 and 191 mg/dl? This is the probability that xbar etimates miu within +/-3 mg/dl. (b) Choose an SRS of 1000 men from this population. Now what is the probability that xbar falls within +/-3 mg/dl of miu? The larger sample is much more likely to give an accurate etimate of miu.
13.7 A sample of young men, continued. Suppose that the blood cholesterol levels of all men age 20 to 34 years follows the normal distribution with mean miu=188milligrams per decilliter (mg/dl) and standard deviation sigma=41 mg/dl. (a) Choose an SRS of 100 men from this population. Waht is the sampling distribution of xbar? What is the probability that xbar takes a value between 185 and 191 mg/dl? This is the probability that xbar etimates miu within +/-3 mg/dl. (b) Choose an SRS of 1000 men from this population. Now what is the probability that xbar falls within +/-3 mg/dl of miu? The larger sample is much more likely to give an accurate etimate of miu.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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13.7 A sample of young men, continued.
Suppose that the blood cholesterol levels of all men age 20 to 34 years follows the
(a) Choose an SRS of 100 men from this population. Waht is the sampling distribution of xbar? What is the probability that xbar takes a value between 185 and 191 mg/dl? This is the probability that xbar etimates miu within +/-3 mg/dl.
(b) Choose an SRS of 1000 men from this population. Now what is the probability that xbar falls within +/-3 mg/dl of miu? The larger sample is much more likely to give an accurate etimate of miu.
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