Determining the number of inches subjects

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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 Sample Size Mean ( in inches) SD (in inches)

Women 15 20.86 2.11

Men 20 18.43 3.16

Assume that both population distributions are approximately normal and that the population variances are NOT equal.

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.

Reference no: EM132847891

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