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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I need help with stats/2023, sorry I keep submitting confidence intervals, but I am having internet and computer issues, I appreciate your help.

An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within

1.6

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

1.8

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

10%

of the sample mean? within

11%

of the sample mean? Explain.

A) The minimum sample size required to construct a 90% confidence interval is _____4_____ students.

B) The 90% confidence interval is (_______ , _________). It (1) does or does not, seem likely that the population mean could be within 9% of the sample mean because 9% off rom the sample mean would fall (2) inside or outside the confidence interval. It (3) does or does not, seem likely that the population mean could be within 10% of the sample mean because 10% off from the sample mean would fall (4) outside or inside the confidence interval.

(Round to 2 decimal places as needed)

Thank you

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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