The weights of men in a particular age group have mean μ = 178 pounds and standard deviation σ = 30 pounds. (a) For randomly selected samples of n = 9 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (b) For randomly selected samples of n = 36 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (c) In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide a hint. Increasing the sample size ---Select--- the value of the standard deviation of the sampling distribution of the sample mean. A fourfold increase in sample size multiplies the standard deviation by a factor of ---Select---

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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The weights of men in a particular age group have mean μ = 178 pounds and standard deviation σ = 30 pounds.
(a) For randomly selected samples of n = 9 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means?
s.d.(x) =
(b) For randomly selected samples of n = 36 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means?
s.d.(x) =
(c) In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide a hint.
Increasing the sample size ---Select---
the value of the standard deviation of the sampling distribution of the sample mean. A fourfold increase in sample size multiplies the
standard deviation by a factor of ---Select---
Transcribed Image Text:The weights of men in a particular age group have mean μ = 178 pounds and standard deviation σ = 30 pounds. (a) For randomly selected samples of n = 9 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (b) For randomly selected samples of n = 36 men, what is the standard deviation, s.d., of the sampling distribution of possible sample means? s.d.(x) = (c) In general, how does increasing the sample size affect the standard deviation of the sampling distribution of possible sample means? Parts (a) and (b) provide a hint. Increasing the sample size ---Select--- the value of the standard deviation of the sampling distribution of the sample mean. A fourfold increase in sample size multiplies the standard deviation by a factor of ---Select---
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