A 100(1 – a)% confidence interval for the mean u of a normal population when the value of o is known is given by Za/2 By how much must the sample size n be increased if the width of the CI above is to be halved? Halving the length requires n to be increased by a factor of | If the sample size is increased by a factor of 49, what effect will this have on the width of the interval? Increasing the sample size by a factor of 49 wil -Select- v the length by a factor of | -Select- Need Help? Read It increase decrease
A 100(1 – a)% confidence interval for the mean u of a normal population when the value of o is known is given by Za/2 By how much must the sample size n be increased if the width of the CI above is to be halved? Halving the length requires n to be increased by a factor of | If the sample size is increased by a factor of 49, what effect will this have on the width of the interval? Increasing the sample size by a factor of 49 wil -Select- v the length by a factor of | -Select- Need Help? Read It increase decrease
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 100(1−α)% confidence interval for the mean μ of a normal population when the value of σ is known is given by:
\[
\left( \bar{x} - z_{\alpha/2} \cdot \frac{\sigma}{\sqrt{n}}, \, \bar{x} + z_{\alpha/2} \cdot \frac{\sigma}{\sqrt{n}} \right)
\]
By how much must the sample size \( n \) be increased if the width of the confidence interval above is to be halved?
Halving the length requires \( n \) to be increased by a factor of [blank space].
If the sample size is increased by a factor of 49, what effect will this have on the width of the interval?
Increasing the sample size by a factor of 49 will [dropdown with options: --Select--, increase, decrease] the length by a factor of [blank space].
Need Help? [Read It button]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F160f30b4-7e7c-4944-8902-85eb1a644482%2F3f4be4cd-4278-485d-96fb-0203eed33a76%2Fhtol99_processed.png&w=3840&q=75)
Transcribed Image Text:A 100(1−α)% confidence interval for the mean μ of a normal population when the value of σ is known is given by:
\[
\left( \bar{x} - z_{\alpha/2} \cdot \frac{\sigma}{\sqrt{n}}, \, \bar{x} + z_{\alpha/2} \cdot \frac{\sigma}{\sqrt{n}} \right)
\]
By how much must the sample size \( n \) be increased if the width of the confidence interval above is to be halved?
Halving the length requires \( n \) to be increased by a factor of [blank space].
If the sample size is increased by a factor of 49, what effect will this have on the width of the interval?
Increasing the sample size by a factor of 49 will [dropdown with options: --Select--, increase, decrease] the length by a factor of [blank space].
Need Help? [Read It button]
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