Answered: Compute the test value. Round the…

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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Recreational Time 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=0.05 , is there a difference between the means? Use the critical value method and tables.

	X	σ	n
No children	8.7	2.6	32
Children	10.5	2.7	32

(a) State the hypothesis and identify the claim with the correct hypothesis.

H0: ▼(Choose one)

H1: ▼(Choose one)

This hypothesis test is a ▼(Choose one) test.

(b)Find the critical value(s). Round the answer to 3decimal places, if necessary. If there ismore than one critical value,

Critical values:

(c)Compute the test value. Round the answer to at least 3
decimal places, if necessary.

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

P-value=

(d)Make the decision.

What's the null hypothesis?

(e)Summarize the results.

There is ▼(Choose one) that 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 are different.

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