women more flexible than men? To answer this question, a physical therapist measured the flexibility of 15 domly selected women and 20 randomly selected men by determining the number of inches subjects could ch while sitting on the floor with their legs straight out and back perpendicular to the ground. The more cible an individual is, the more they can reach from the seated position. The physical therapist obtained the owing data: ender Women Ien Sample Size 15 20 Mean (in inches) 20.86 18.43 SD (in inches) 2.11 3.16 sume that both population distributions are approximately normal and that the population variances are NOT nal.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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a. Is the sampling dependent or independent in this study? Justify your answer.
b. Test the hypothesis at α = 0.05. Using the critical value approach, include all key steps of test of
hypothesis.

Are women more flexible than men? To answer this question, a physical therapist measured the flexibility of 15
randomly selected women and 20 randomly selected men by determining the number of inches subjects could
reach while sitting on the floor with their legs straight out and back perpendicular to the ground. The more
flexible an individual is, the more they can reach from the seated position. The physical therapist obtained the
following data:
Gender
Women
Men
Sample Size
15
20
Mean (in inches)
20.86
18.43
SD (in inches)
2.11
3.16
Assume that both population distributions are approximately normal and that the population variances are NOT
equal.
Transcribed Image Text:Are women more flexible than men? To answer this question, a physical therapist measured the flexibility of 15 randomly selected women and 20 randomly selected men by determining the number of inches subjects could reach while sitting on the floor with their legs straight out and back perpendicular to the ground. The more flexible an individual is, the more they can reach from the seated position. The physical therapist obtained the following data: Gender Women Men Sample Size 15 20 Mean (in inches) 20.86 18.43 SD (in inches) 2.11 3.16 Assume that both population distributions are approximately normal and that the population variances are NOT equal.
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