1.In order to estimate the average SAT Math score in a certain state, a simple randomsample of 100 students yields an average of 527 points. Assume that the s.d. of all SATMath scores in that state is 90 points.(a)Construct a 95% confidence interval for u.(b)(c)(d)(e)Find the margin of error associated with this confidence interval and interpret theanswer in plain language.In order for the margin of error to be no greater than 15, how large a sampleshould be drawn instead?If 2000 such confidence intervals are constructed, how many of them will containthe value of u? Why?If 2000 such confidence intervals are constructed, how many of them areexpected to contain the value of μ? Why?

Answered: In order to estimate the av sample of…

In order to estimate the av sample of 100 students yie Math scores in that state is Construct a 95% c (a) (b) Find the margin o answer in plain la In order for the m

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

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

1.
In order to estimate the average SAT Math score in a certain state, a simple random
sample of 100 students yields an average of 527 points. Assume that the s.d. of all SAT
Math scores in that state is 90 points.
(a)
Construct a 95% confidence interval for u.
(b)
(c)
(d)
(e)
Find the margin of error associated with this confidence interval and interpret the
answer in plain language.
In order for the margin of error to be no greater than 15, how large a sample
should be drawn instead?
If 2000 such confidence intervals are constructed, how many of them will contain
the value of u? Why?
If 2000 such confidence intervals are constructed, how many of them are
expected to contain the value of μ? Why?

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