Wahts to estimate the mean age of all students enrolled at a college. The estimate must be within 1.2 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 1.7 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. (a) The minimum sample size required to construct a 90% confidence interval is 6 students. (Round up to the nearest whole number.) (b) The 90% confidence interval is .). It V seem likely that the population mean could be within 8% of the sample mean because 8% off from the V the confidence interval. It V seem likely that the population mean could be within 9% of the sample mean because 9% sample mean would fall the confidence interval. off from the sample mean would fall (Round to two decimal places as nee

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 1.2 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 1.7
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.
(a) The minimum sample size required to construct a 90% confidence interval is 6 students.
(Round up to the nearest whole number.)
(b) The 90% confidence interval is (.). It
seem likely that the population mean could be within 8% of the sample mean because 8% off from the
sample mean would fall
the confidence interval. It
V seem likely that the population mean could be within 9% of the sample mean because 9%
off from the sample mean would fall
the confidence interval.
(Round to two decimal places as nee
outside
inside
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Transcribed Image Text:An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.2 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 1.7 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. (a) The minimum sample size required to construct a 90% confidence interval is 6 students. (Round up to the nearest whole number.) (b) The 90% confidence interval is (.). It seem likely that the population mean could be within 8% of the sample mean because 8% off from the sample mean would fall the confidence interval. It V seem likely that the population mean could be within 9% of the sample mean because 9% off from the sample mean would fall the confidence interval. (Round to two decimal places as nee outside inside Clear All Check Answer View an Example Get More Help - Help Me Solve This 9:25 AM A 68°F Partly sunny 10/20/2021 to search hoc delete ort sc
An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.2 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 1.7
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.
(a) The minimum sample size required to construct a 90% confidence interval is 6 students.
(Round up to the nearest whole number.)
(b) The 90% confidence interval is (1. ). It
V seem likely that the population mean could be within 8% of the sample mean because 8% off from the
sample mean would fall
V the confidence interval. It
seem likely that the population mean could be within 9% of the sample mean because 9%
off from the sample mean would fall
V the confidence
(Round to two decimal places as needed.)
does
does not
Clear All
Check Answer
Get More Help -
View an Example
Help Me Solve This
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Transcribed Image Text:An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.2 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 1.7 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. (a) The minimum sample size required to construct a 90% confidence interval is 6 students. (Round up to the nearest whole number.) (b) The 90% confidence interval is (1. ). It V seem likely that the population mean could be within 8% of the sample mean because 8% off from the sample mean would fall V the confidence interval. It seem likely that the population mean could be within 9% of the sample mean because 9% off from the sample mean would fall V the confidence (Round to two decimal places as needed.) does does not Clear All Check Answer Get More Help - View an Example Help Me Solve This 68°F Partly sunny 出 search
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Introduction

The confidence interval is calculated by the combined value of sample statistics and margin error. Where margin error is calculated by the critical value, population standard deviation and the sample size. It is used to estimate the interval range within which the true population parameter lie. 

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