An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within1.3years of the population mean. Assume the population of ages is normally distributed.(a) Determine the minimum sample size required to construct a90%confidence interval for the population mean. Assume the population standard deviation is1.6years.(b) The sample mean is20years of age. Using the minimum sample size with a90%level of confidence, does it seem likely that the population mean could be within8%of the sample mean? within9%of the sample mean? Explain.Click here to view page 1 of the Standard Normal Table.LOADING...Click here to view page 2 of the Standard Normal Table.LOADING...(a) The minimum sample size required to construct a90%confidence interval isnothingstudents.(Round up to the nearest whole number.)(b) The90%confidence interval is(nothing,nothing).It▼ doesdoes notseem likely that the population mean could be within8%of the sample mean because8%off from the sample mean would fall▼ outsideinsidethe confidence interval. It▼ does notdoesseem likely that the population mean could be within9%of the sample mean because9%off from the sample mean would fall▼ insideoutsidethe confidence interval.(Round to two decimal places as needed.)

Answered: An admissions director wants to…

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

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

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

of the sample mean? within

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

nothing

students.

(Round up to the nearest whole number.)

(b) The

90%

confidence interval is

(nothing,

nothing).

▼

does

does not

seem likely that the population mean could be within

of the sample mean because

off from the sample mean would fall

▼

outside

inside

the confidence interval. It

▼

does not

does

seem likely that the population mean could be within

of the sample mean because

off from the sample mean would fall

▼

inside

outside

the confidence interval.

(Round to two decimal places as needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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