A 100(1 x)% confidence interval for the mean of a normal population when the value of a is known is given by (x-Zα/2 σ Vn x + ²a/2* √n). 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 will ---Select-- the length by a factor of

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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A 100(1 x)% confidence interval for the mean μ of a normal population when the value of σ is known is given by
(x-²α/2"
σ
n
za/2 √n).
X + Z
I
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 will |---Select--- the length by a factor of
Transcribed Image Text:A 100(1 x)% confidence interval for the mean μ of a normal population when the value of σ is known is given by (x-²α/2" σ n za/2 √n). X + Z I 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 will |---Select--- the length by a factor of
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,