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Assume that you have studied a sample of mathematics majors and have measured them on their interest in learning about the fine arts. You have measured their interest on a 30-point scale, where 30 is the highest interest in participating in an art appreciation program. You have studied n = 8 students. Their interest scores are as follows: 26 4 12 8 13 21 2 8 9. Assume that the chair of the mathematics department has asked you for the best estimate of the mean interest in fine arts education among the population of mathematics majors. a. Based on the data of the n = 8 students in your sample, what is the best estimate of the population mean? Give the formula you use and a numerical answer based on the 8 scores. Be sure to show the calculations that led to your numerical answer. b. Then explain why you chose the answer you did. 10. The chair of the mathematics department also wants to know about the variability in interest in fine arts education within the population of mathematics majors. a. Based on the eight scores in the sample given above, what is the best numerical estimate of the standard deviation in the population? Give the formula you use and a numerical answer. Be sure to show the calculations that led to your numerical answer. b. Then explain why you chose the answer you did.

Assume that you have studied a sample of mathematics majors and have measured them on their interest in learning about the fine arts. You have measured their interest on a 30-point scale, where 30 is the highest interest in participating in an art appreciation program. You have studied n = 8 students. Their interest scores are as follows: 26 4 12 8 13 21 2 8 9. Assume that the chair of the mathematics department has asked you for the best estimate of the mean interest in fine arts education among the population of mathematics majors. a. Based on the data of the n = 8 students in your sample, what is the best estimate of the population mean? Give the formula you use and a numerical answer based on the 8 scores. Be sure to show the calculations that led to your numerical answer. b. Then explain why you chose the answer you did. 10. The chair of the mathematics department also wants to know about the variability in interest in fine arts education within the population of mathematics majors. a. Based on the eight scores in the sample given above, what is the best numerical estimate of the standard deviation in the population? Give the formula you use and a numerical answer. Be sure to show the calculations that led to your numerical answer. b. Then explain why you chose the answer you did.

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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PART II. POINT ESTIMATES OF POPULATION MEAN AND STANDARD DEVIATION In the first part of this problem set you were taking population parameters for the population distribution of raw scores (u = 150, o = 40) and using these values to compute parameters of the sampling distribution of the mean (i.e., the mean of the sampling distribution of means, the variance of the means, the standard error of the mean). For part 2 of the problem set, you will not be given the population parameters µ, o, and o?. Instead you will have to estimate parameters from data you have been given from a single sample taken from the population. Assume that you have studied a sample of mathematics majors and have measured them on their interest in learning about the fine arts. You have measured their interest on a 30-point scale, where 30 is the highest interest in participating in an art appreciation program. You have studied n = 8 students. Their interest scores are as follows: 26 4 12 8 13 21 2 8 9. Assume that the chair of the mathematics department has asked you for the best estimate of the mean interest in fine arts education among the population of mathematics majors. a. Based on the data of the n= 8 students in your sample, what is the best estimate of the population mean? Give the formula you use and a numerical answer based on the 8 scores. Be sure to show the calculations that led to your numerical answer. b. Then explain why you chose the answer you did. 10. The chair of the mathematics department also wants to know about the variability in interest in fine arts education within the population of mathematics majors. a. Based on the eight scores in the sample given above, what is the best numerical estimate of the standard deviation in the population? Give the formula you use and a numerical answer. Be sure to show the calculations that led to your numerical answer. b. Then explain why you chose the answer you did.
Transcribed Image Text:PART II. POINT ESTIMATES OF POPULATION MEAN AND STANDARD DEVIATION In the first part of this problem set you were taking population parameters for the population distribution of raw scores (u = 150, o = 40) and using these values to compute parameters of the sampling distribution of the mean (i.e., the mean of the sampling distribution of means, the variance of the means, the standard error of the mean). For part 2 of the problem set, you will not be given the population parameters µ, o, and o?. Instead you will have to estimate parameters from data you have been given from a single sample taken from the population. Assume that you have studied a sample of mathematics majors and have measured them on their interest in learning about the fine arts. You have measured their interest on a 30-point scale, where 30 is the highest interest in participating in an art appreciation program. You have studied n = 8 students. Their interest scores are as follows: 26 4 12 8 13 21 2 8 9. Assume that the chair of the mathematics department has asked you for the best estimate of the mean interest in fine arts education among the population of mathematics majors. a. Based on the data of the n= 8 students in your sample, what is the best estimate of the population mean? Give the formula you use and a numerical answer based on the 8 scores. Be sure to show the calculations that led to your numerical answer. b. Then explain why you chose the answer you did. 10. The chair of the mathematics department also wants to know about the variability in interest in fine arts education within the population of mathematics majors. a. Based on the eight scores in the sample given above, what is the best numerical estimate of the standard deviation in the population? Give the formula you use and a numerical answer. Be sure to show the calculations that led to your numerical answer. b. Then explain why you chose the answer you did.
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