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(a) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 524 and standard deviation 111. 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 OA. 52.4 ов. 5.24 ос. 524

(a) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 524 and standard deviation 111. 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 OA. 52.4 ов. 5.24 ос. 524

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(a) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 524 and standard deviation 111. 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 OA. 52.4 OB. 5.24 OC. 524 OD. None of the above. (b) The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. The probability that the average pregnancy length for 6 randomly chosen women exceeds 270 days is about OA. 0.27 OB. 0.07 OC. 0.4 OD. None of the above. (c) 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 x = 810 grams. This sample mean is an unbiased estimator of the mean weight u in the population of all ELBW babies. This means that OA. the sample mean x is always equal to u. OB. the average sample mean x, over all possible samples, is equal to u. OC. the sample mean x will have a distribution that is close to Normal. OD. None of the above.
Transcribed Image Text:(a) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 524 and standard deviation 111. 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 OA. 52.4 OB. 5.24 OC. 524 OD. None of the above. (b) The length of human pregnancies from conception to birth varies according to a distribution that is approximately Normal with mean 266 days and standard deviation 16 days. The probability that the average pregnancy length for 6 randomly chosen women exceeds 270 days is about OA. 0.27 OB. 0.07 OC. 0.4 OD. None of the above. (c) 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 x = 810 grams. This sample mean is an unbiased estimator of the mean weight u in the population of all ELBW babies. This means that OA. the sample mean x is always equal to u. OB. the average sample mean x, over all possible samples, is equal to u. OC. the sample mean x will have a distribution that is close to Normal. OD. None of the above.
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