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A random sample of 34 colleges was taken. The mean rate of graduation within four years was 35% with a margin of error of 1.18%. The distribution of graduation rates is Normal. a) Based on this, give the confidence interval for the true mean rate of graduation. Give your answers rounded to two decimal places % < µ < b) Can we reject a population mean percentage of 38.18% on the basis of these numbers? Explain. O No, do not reject 38.18%. Since 38.18% is not in the interval, it is possible the population graduation rate is 38.18%. Yes, reject 38.18%. Since 38.18% is in the interval, it is not possible the population graduation rate is 38.18% . Yes, reject 38.18%. Since 38.18% is not in the interval, it is not possible the population graduation rate is 38.18%. O No, do not reject 38.18%. Since 38.18% is in the interval, it is possible the population graduation rate is 38.18%.

A random sample of 34 colleges was taken. The mean rate of graduation within four years was 35% with a margin of error of 1.18%. The distribution of graduation rates is Normal. a) Based on this, give the confidence interval for the true mean rate of graduation. Give your answers rounded to two decimal places % < µ < b) Can we reject a population mean percentage of 38.18% on the basis of these numbers? Explain. O No, do not reject 38.18%. Since 38.18% is not in the interval, it is possible the population graduation rate is 38.18%. Yes, reject 38.18%. Since 38.18% is in the interval, it is not possible the population graduation rate is 38.18% . Yes, reject 38.18%. Since 38.18% is not in the interval, it is not possible the population graduation rate is 38.18%. O No, do not reject 38.18%. Since 38.18% is in the interval, it is possible the population graduation rate is 38.18%.

MATLAB: An Introduction with Applications
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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A random sample of 34 colleges was taken. The mean rate of graduation within four years was 35% with a margin of error of 1.18%. The distribution of graduation rates is Normal. a) Based on this, give the confidence interval for the true mean rate of graduation. Give your answers rounded to two decimal places % < u < b) Can we reject a population mean percentage of 38.18% on the basis of these numbers? Explain. O No, do not reject 38.18%. Since 38.18% is not in the interval, it is possible the population graduation rate is 38.18%. Yes, reject 38.18%. Since 38.18% is in the interval, it is not possible the population graduation rate is 38.18% . Yes, reject 38.18%. Since 38.18% is not in the interval, it is not possible the population graduation rate is 38.18%. No, do not reject 38.18%. Since 38.18% is in the interval, it is possible the population graduation rate is 38.18%.
Transcribed Image Text:A random sample of 34 colleges was taken. The mean rate of graduation within four years was 35% with a margin of error of 1.18%. The distribution of graduation rates is Normal. a) Based on this, give the confidence interval for the true mean rate of graduation. Give your answers rounded to two decimal places % < u < b) Can we reject a population mean percentage of 38.18% on the basis of these numbers? Explain. O No, do not reject 38.18%. Since 38.18% is not in the interval, it is possible the population graduation rate is 38.18%. Yes, reject 38.18%. Since 38.18% is in the interval, it is not possible the population graduation rate is 38.18% . Yes, reject 38.18%. Since 38.18% is not in the interval, it is not possible the population graduation rate is 38.18%. No, do not reject 38.18%. Since 38.18% is in the interval, it is possible the population graduation rate is 38.18%.
Expert Solution
Step 1

Given that 

Sample size=n=34

Mean=M=35%

Margin of error=E=1.18%

Formula for confidence interval is

C.I=(M±E)

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