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Obstetrics The figure below plots the sampling distribution of the mean from 200 samples of size 8 from the population of 1,000 birthweights. The mean of the 1,000 birthweights is 112.0 oz with standard deviation 20.6 oz. The data are available in SALT. 17 16 15 13 12 100 110 130 120 Birthweight (b) in oz D USE SALT (a) If the central-limit theorem holds, what proportion of the sample means should fall within 0.5 lb of the population mean (112.0 oz)? (Round your answer to four decimal places.) X (b) If the central-limit theorem holds, what proportion of the sample means should fall within 1 lb of the population mean (112.0 oz)? (Round your answer to four decimal places.) x % of samples with birthweight = b

Obstetrics The figure below plots the sampling distribution of the mean from 200 samples of size 8 from the population of 1,000 birthweights. The mean of the 1,000 birthweights is 112.0 oz with standard deviation 20.6 oz. The data are available in SALT. 17 16 15 13 12 100 110 130 120 Birthweight (b) in oz D USE SALT (a) If the central-limit theorem holds, what proportion of the sample means should fall within 0.5 lb of the population mean (112.0 oz)? (Round your answer to four decimal places.) X (b) If the central-limit theorem holds, what proportion of the sample means should fall within 1 lb of the population mean (112.0 oz)? (Round your answer to four decimal places.) x % of samples with birthweight = b

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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I need Parts A and B here. The answers should be close to the values in part C respectively, if it helps.

Obstetrics The figure below plots the sampling distribution of the mean from 200 samples of size 8 from the population of 1,000 birthweights. The mean of the 1,000 birthweights is 112.0 oz with standard deviation 20.6 oz. The data are available in SALT. 17 16 15 90 120 130 100 110 Birthweight (b) in oz USE SALT (a) If the central-limit theorem holds, what proportion of the sample means should fall within 0.5 lb of the population mean (112.0 oz)? (Round your answer to four decimal places.) X (b) If the central-limit theorem holds, what proportion of the sample means should fall within 1 lb of the population mean (112.0 oz)? (Round your answer to four decimal places.) X (c) Compare your results in (a) and (b) with the actual proportion of sample means that fall in these ranges. (Use the filtering capabilities in SALT's data set page to find the actual proportion of sample means that fall in these ranges.) The actual proportion of averages that fall within 0.5 lb of the population mean (112.0 oz) is 0.75 . This value is pretty close to the value found using the central limit theorem. The actual proportion of averages that fall within 1 lb of the population mean (112.0 oz) is 0.965 This value is pretty close to the value found using the central limit theorem. (d) Do you feel the central-limit theorem is applicable for samples of size 8 from this population? Explain. The probabilities found using the central limit theorem are fairly close to the observed values. So, based on these results, we can say the central limit theorem does seem to be applicable. % of samples with birthweight = b 14 13 12 11 10 9 3 2 1
Transcribed Image Text:Obstetrics The figure below plots the sampling distribution of the mean from 200 samples of size 8 from the population of 1,000 birthweights. The mean of the 1,000 birthweights is 112.0 oz with standard deviation 20.6 oz. The data are available in SALT. 17 16 15 90 120 130 100 110 Birthweight (b) in oz USE SALT (a) If the central-limit theorem holds, what proportion of the sample means should fall within 0.5 lb of the population mean (112.0 oz)? (Round your answer to four decimal places.) X (b) If the central-limit theorem holds, what proportion of the sample means should fall within 1 lb of the population mean (112.0 oz)? (Round your answer to four decimal places.) X (c) Compare your results in (a) and (b) with the actual proportion of sample means that fall in these ranges. (Use the filtering capabilities in SALT's data set page to find the actual proportion of sample means that fall in these ranges.) The actual proportion of averages that fall within 0.5 lb of the population mean (112.0 oz) is 0.75 . This value is pretty close to the value found using the central limit theorem. The actual proportion of averages that fall within 1 lb of the population mean (112.0 oz) is 0.965 This value is pretty close to the value found using the central limit theorem. (d) Do you feel the central-limit theorem is applicable for samples of size 8 from this population? Explain. The probabilities found using the central limit theorem are fairly close to the observed values. So, based on these results, we can say the central limit theorem does seem to be applicable. % of samples with birthweight = b 14 13 12 11 10 9 3 2 1
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