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Name: A researcher wishes to see if there is a difference between the mean n
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Description: A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two r

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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A researcher wishes to see if there is a difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities. She selects two random samples and the data are shown. Use μ1 for the mean number of families with no children. At α=0.10, is there a difference between the means? Use the P-value method and tables.

	X	σ	n
No children	8.7	2.6	32
Children	10.6	2.9	32

State the hypotheses and identify the claim with the correct hypothesis.

H0:μ1=μ2

▼not claim

H1:μ1≠μ2

▼claim

This hypothesis test is a ▼two-tailed test.

z= -2.7595

Compute the P-value. Round the answer to four decimal places.

P-value =________________________

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