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Salaries for teachers in a particular state have a mean of $ 42000 and a standard deviation of $ 6900.

Salaries for teachers in a particular state have a mean of $ 42000 and a standard deviation of $ 6900.

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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c. For which sample size would I need to know that population distribution of X, teacher salaries, is normal in order to answer? Hint for part c d. Assuming a sample size of 68, what is the probability that the sampling error is within $1000. (In other words, the sample mean is within $1000 of the true mean.) Hint for d Hint for e and f e. Assuming a sample size of 68, what is the 90th percentile for the AVERAGE teacher's salary? f. Assuming that teacher's salaries are normally distributed, what is the 90th percentile for an INDIVIDUAL teacher's salary?
Transcribed Image Text:c. For which sample size would I need to know that population distribution of X, teacher salaries, is normal in order to answer? Hint for part c d. Assuming a sample size of 68, what is the probability that the sampling error is within $1000. (In other words, the sample mean is within $1000 of the true mean.) Hint for d Hint for e and f e. Assuming a sample size of 68, what is the 90th percentile for the AVERAGE teacher's salary? f. Assuming that teacher's salaries are normally distributed, what is the 90th percentile for an INDIVIDUAL teacher's salary?
Salaries for teachers in a particular state have a mean of $ 42000 and a standard deviation of $ 6900. Hint for parts a and b a. If we randomly select 15 teachers from that district, can you determine the sampling distribution of the sample mean? No C If yes, what is the name of the distribution? normal The mean? The standard error? b. If we randomly select 68 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution? The mean? The standard error?
Transcribed Image Text:Salaries for teachers in a particular state have a mean of $ 42000 and a standard deviation of $ 6900. Hint for parts a and b a. If we randomly select 15 teachers from that district, can you determine the sampling distribution of the sample mean? No C If yes, what is the name of the distribution? normal The mean? The standard error? b. If we randomly select 68 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution? The mean? The standard error?
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