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(a) A newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was = 810 grams. This sample mean is an unbiased estimator of the mean weight in the population of all ELBW babies. This means that

(a) A newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was = 810 grams. This sample mean is an unbiased estimator of the mean weight in the population of all ELBW babies. This means that

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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(a) A newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was = 810 grams. This sample mean is an unbiased estimator of the mean weight in the population of all ELBW babies. This means that A. the sample mean is always equal to μ. B. the average sample mean , over all possible samples, is equal to μ. C. the sample mean will have a distribution that is close to Normal. D. None of the above. (b) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 531 and standard deviation 104. You choose an SRS of 100 students and average their SAT math scores. If you do this many times, with a sample of size 100 each time, the mean of the average scores will get close to A. 53.1 B. 5.31 C. 531 OD. None of the above. (c) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 531 and standard deviation 104. You choose an SRS of 100 students and average their SAT math scores. If you do this many times, with a sample of size 100 each time, the standard deviation of the average scores will get close to A. 1.04 B. 10.4 C. 104 OD. None of the above.
Transcribed Image Text:(a) A newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was = 810 grams. This sample mean is an unbiased estimator of the mean weight in the population of all ELBW babies. This means that A. the sample mean is always equal to μ. B. the average sample mean , over all possible samples, is equal to μ. C. the sample mean will have a distribution that is close to Normal. D. None of the above. (b) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 531 and standard deviation 104. You choose an SRS of 100 students and average their SAT math scores. If you do this many times, with a sample of size 100 each time, the mean of the average scores will get close to A. 53.1 B. 5.31 C. 531 OD. None of the above. (c) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 531 and standard deviation 104. You choose an SRS of 100 students and average their SAT math scores. If you do this many times, with a sample of size 100 each time, the standard deviation of the average scores will get close to A. 1.04 B. 10.4 C. 104 OD. None of the above.
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