4. Suppose it is known that 74% of men feel they are shorter than their ideal height. a. Describe the sampling distribution of size 100 that results from this population. Include all rationales. b. What is the probability that in a sample of 100 men, we find that 77% feel they are. shorter than their ideal height? C. What is the probability that in a sample of 100 men, we find the proportion who feel they are shorter than their ideal height will differ from the given population value by more than 2%?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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4. Suppose it is known that 74% of men feel they are shorter than their ideal height.
a. Describe the sampling distribution of size 100 that results from this population.
Include all rationales.
b. What is the probability that in a sample of 100 men, we find that 77% feel they are
shorter than their ideal height?
C. What is the probability that in a sample of 100 men, we find the proportion who feel
they are shorter than their ideal height will differ from the given population value
by more than 2%?
d. What sample proportion would make a group of 100 men unusually confident in
their heights?
e. Will this answer change if we discuss 200 men instead? Explain.
Transcribed Image Text:4. Suppose it is known that 74% of men feel they are shorter than their ideal height. a. Describe the sampling distribution of size 100 that results from this population. Include all rationales. b. What is the probability that in a sample of 100 men, we find that 77% feel they are shorter than their ideal height? C. What is the probability that in a sample of 100 men, we find the proportion who feel they are shorter than their ideal height will differ from the given population value by more than 2%? d. What sample proportion would make a group of 100 men unusually confident in their heights? e. Will this answer change if we discuss 200 men instead? Explain.
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