9. Population distribution of height has a mean 160 cm and a standard deviation of 6 cm. We take a random sample of 49 people. a) Check if Central Limit Theorem (CLT) conditions for distribution of means to be normal are met. b) Find the mean uz and standard deviation og. c) Find probability that in a random sample of 49 people, the sample mean of heights is less than 159 cm.
9. Population distribution of height has a mean 160 cm and a standard deviation of 6 cm. We take a random sample of 49 people. a) Check if Central Limit Theorem (CLT) conditions for distribution of means to be normal are met. b) Find the mean uz and standard deviation og. c) Find probability that in a random sample of 49 people, the sample mean of heights is less than 159 cm.
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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9. Population distribution of height has a mean 160 cm and a standard deviation of 6 cm. We take
a random sample of 49 people.
a) Check if Central Limit Theorem (CLT) conditions for distribution of means to be normal are
met.
b) Find the mean uz and standard deviation oz.
c) Find probability that in a random sample of 49 people, the sample mean of heights is less
than 159 cm.
10. 1085 young adults are randomly surveyed to find out if living in a single parent household as a teenager
puts one at an educational disadvantage. Results of the survey are summarized below.
Educational Disadvantage
Yes
No
Total
Lived in single parent household 239
Lived in two-parent household
Total
205
444
250
391
641
489
596
1085
a) Find probability that a randomly chosen person was educationally disadvantaged.
b) Find probability that a randomly chosen person was educationally disadvantaged and lived in a single
parent household as a teenager.
c) Find probability that a randomly chosen person was educationally disadvantaged given that the person
lived in a single parent household as a teenager.
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