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Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) teachers is $53.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below. c. Do you need to assume that classroom teacher salaries are normally distributed to answer parts (a) and (b)? Explain your answe OA. Yes, because x is only normally distributed if x is normally distributed. OB. Yes, because the sample sizes are not sufficiently large so that x will be approximately normally distributed, regardless of the distribution of x. OC. No, because the sample sizes are sufficiently large somat x will be approximately normally distributed, regardless of the dist of y

Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) teachers is $53.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below. c. Do you need to assume that classroom teacher salaries are normally distributed to answer parts (a) and (b)? Explain your answe OA. Yes, because x is only normally distributed if x is normally distributed. OB. Yes, because the sample sizes are not sufficiently large so that x will be approximately normally distributed, regardless of the distribution of x. OC. No, because the sample sizes are sufficiently large somat x will be approximately normally distributed, regardless of the dist of y

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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Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $53.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below. (...) d. What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most $1000? (Round to three decimal places as needed.) e. What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 256 classroom teachers will be at most $1000?
Transcribed Image Text:Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $53.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below. (...) d. What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most $1000? (Round to three decimal places as needed.) e. What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 256 classroom teachers will be at most $1000?
Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $53.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below. c. Do you need to assume that classroom teacher salaries are normally distributed to answer parts (a) and (b)? Explain your answer. OA. Yes, because x is only normally distributed if x is normally distributed. OB. Yes, because the sample sizes are not sufficiently large so that x will be approximately normally distributed, regardless of the distribution of x. OC. No, because the sample sizes are sufficiently large soat x will be approximately normally distributed, regardless of the distribution of x.
Transcribed Image Text:Data on salaries in the public school system are published annually by a teachers' association. The mean annual salary of (public) classroom teachers is $53.6 thousand. Assume a standard deviation of $7.2 thousand. Complete parts (a) through (e) below. c. Do you need to assume that classroom teacher salaries are normally distributed to answer parts (a) and (b)? Explain your answer. OA. Yes, because x is only normally distributed if x is normally distributed. OB. Yes, because the sample sizes are not sufficiently large so that x will be approximately normally distributed, regardless of the distribution of x. OC. No, because the sample sizes are sufficiently large soat x will be approximately normally distributed, regardless of the distribution of x.
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