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.

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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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Transcribed Image Text:Download Page < of 2 ZOOM 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. earch Desktop 42°F Sunny DELL F4 F5 F6 F9 F10 F11 F12 PrtScr Insert Delete F7 F8 $ & Backspace 4 6 T Y O P G J K L
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