An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.6 years. (b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 8% of the sample mean? within 9% of the sample mean?
An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume the population of ages is normally distributed. (a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.6 years. (b) The sample mean is 20 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within 8% of the sample mean? within 9% of the sample mean?
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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An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within
normally distributed.
1.3
years of the population mean. Assume the population of ages is (a) Determine the minimum sample size required to construct a
90%
confidence interval for the population mean. Assume the population standard deviation is
1.6
years.(b) The sample mean is
20
years of age. Using the minimum sample size with a
90%
level of confidence, does it seem likely that the population mean could be within
8%
of the sample mean? within
9%
of the sample mean? Explain.Click here to view page 1 of the Standard Normal Table.
Click here to view page 2 of the Standard Normal Table.
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(a) The minimum sample size required to construct a
90%
confidence interval is
nothing
students.(Round up to the nearest whole number.)
(b) The
seem likely that the population mean could be within
the confidence interval. It
seem likely that the population mean could be within
the confidence interval.
90%
confidence interval is
(nothing,
nothing).
It
▼
does
does not
8%
of the sample mean because
8%
off from the sample mean would fall
▼
outside
inside
▼
does not
does
9%
of the sample mean because
9%
off from the sample mean would fall
▼
inside
outside
(Round to two decimal places as needed.)
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