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5.24 Grades in a math course. Indiana University posts the grade distributions for its courses online." In one spring semester, students in Math 118 received 16.1% A's, 34.3% B's, 29.2% C's, 9.6% D's, and 9.8% F's. (a) Using the common scale A = 4, B = 3, C = 2, D = 1, F = 0, take X to be the grade of a randomly chosen Math 118 student. Use the definitions of the mean (page 237) and standard deviation (page 245) for discrete random variables to find the mean µ and the standard deviation o of grades in this section. n %3D (b) Math 118 is a large enough course that we can take the grades of an SR.S of 25 students and not worry about the finite populaticn correction factor. If x is the average of these 25 grades, what are the mean and standard deviation of x? ineg 008A (c) What is the probability that a randomly chosen Math 118 student gets a B or better, P(X > 3)?

5.24 Grades in a math course. Indiana University posts the grade distributions for its courses online." In one spring semester, students in Math 118 received 16.1% A's, 34.3% B's, 29.2% C's, 9.6% D's, and 9.8% F's. (a) Using the common scale A = 4, B = 3, C = 2, D = 1, F = 0, take X to be the grade of a randomly chosen Math 118 student. Use the definitions of the mean (page 237) and standard deviation (page 245) for discrete random variables to find the mean µ and the standard deviation o of grades in this section. n %3D (b) Math 118 is a large enough course that we can take the grades of an SR.S of 25 students and not worry about the finite populaticn correction factor. If x is the average of these 25 grades, what are the mean and standard deviation of x? ineg 008A (c) What is the probability that a randomly chosen Math 118 student gets a B or better, P(X > 3)?

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) Explain to someone who knows no statistics what it means to say that x is an "unbiased" estimator of . (b) The sample result x is an unbiased estimator of the population truth u no matter what size SRS the study chooses. Explain to someone who knows no statistics health age standard a Weights an the popula why a large sample gives more trustworthy results than a small sample. are not ve: 25 passen; in the win 5225 pour 5 24 Grades in a math course. Indiana University posts the grade distributions for its courses online." In one spring semester, students in Math 118 received 16.1% A's, 34.3% B's, 29.2% C's, 9.6% D's, and 9.8% F's. restate the 5.26 monej 500 Index (a) Using the common scale A = 4, B = 3, C = 2, D = 1, F = 0, take X to be the grade of a randomly chosen Math 118 student. Use the definitions of the mean (page 237) and standard deviation (page 245) for discrete random variables to find the mean µ and the standard deviation o of grades in this section. Suppose the Index 12%, the mean 5% between (a) The re What are (b) Math 118 is a large enough course that we can take the grades of an SR.S of 25 students and not worry about the finite populaticn correction factor. If x is the average of these 25 grades, what are the mean and standard deviation of x? (b) The c symmetr: observati pinsq 0084 return ov (c) What is the probability that a randomly chosen Math 118 student gets a B or better, P(X > 3)? Normal. is the ap greater t. (d) What is the approximate probability that the grade point average for 25 randomly chosen Math 118 students is B or better, P(ã>3)? (c) The c because R. To see (e) Explain why the probabilities in parts (c) and (d) are so different. year and 9%. If Je at the en 5.25 Weights of airline passengers. In 2019, the Federal Aviation Administration (FAA) updated its How doe if both y standard average passenger weight to be based on doto from U.S. government health agency surveys.2 It 1'h ingludor clothing no may be a the geom
Transcribed Image Text:(a) Explain to someone who knows no statistics what it means to say that x is an "unbiased" estimator of . (b) The sample result x is an unbiased estimator of the population truth u no matter what size SRS the study chooses. Explain to someone who knows no statistics health age standard a Weights an the popula why a large sample gives more trustworthy results than a small sample. are not ve: 25 passen; in the win 5225 pour 5 24 Grades in a math course. Indiana University posts the grade distributions for its courses online." In one spring semester, students in Math 118 received 16.1% A's, 34.3% B's, 29.2% C's, 9.6% D's, and 9.8% F's. restate the 5.26 monej 500 Index (a) Using the common scale A = 4, B = 3, C = 2, D = 1, F = 0, take X to be the grade of a randomly chosen Math 118 student. Use the definitions of the mean (page 237) and standard deviation (page 245) for discrete random variables to find the mean µ and the standard deviation o of grades in this section. Suppose the Index 12%, the mean 5% between (a) The re What are (b) Math 118 is a large enough course that we can take the grades of an SR.S of 25 students and not worry about the finite populaticn correction factor. If x is the average of these 25 grades, what are the mean and standard deviation of x? (b) The c symmetr: observati pinsq 0084 return ov (c) What is the probability that a randomly chosen Math 118 student gets a B or better, P(X > 3)? Normal. is the ap greater t. (d) What is the approximate probability that the grade point average for 25 randomly chosen Math 118 students is B or better, P(ã>3)? (c) The c because R. To see (e) Explain why the probabilities in parts (c) and (d) are so different. year and 9%. If Je at the en 5.25 Weights of airline passengers. In 2019, the Federal Aviation Administration (FAA) updated its How doe if both y standard average passenger weight to be based on doto from U.S. government health agency surveys.2 It 1'h ingludor clothing no may be a the geom
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