Gender differences in quality of sleep. Suppose a researcher studies men and women difference in their type of sleep. Each participant reports whether their sleep was long, short, and restful. Is there a relationship between gender and the type of quality of sleep? Test at the .05 significance level using CV = 5.99. ObservedShortLongRestfulTotalFemale1842 Male41715 Total ExpectedShortLongRestfulTotalFemale Male Total ObservedExpectedDifferencesSquared differencesDivided by expected differencesFemaleShort Long Restful MaleShort Long Restful

The hypothesis is, H0:The gender and the type of quality of sleep are independent (no relation).VS H1: The gender and the type of quality of sleep are dependent (relation). The observed values are, Short Long Restful Total Female 18 4 2 24 Male 4 17 15 36 Total 22 21 17 60The expected values are, Expected values =Row total* Column totalGrand total Short Long Restful Total Female 8.8 8.4 6.8 24 Male 13.2 12.6 10.2 36 Total 22 21 17 60Observed Expected Differences Squared differences Divided by expected differences Short Long Restful Total Female 9.618182 2.304762 3.388235 15.31118 Male 6.412121 1.536508 2.258824 10.20745 Total 16.0303 3.84127 5.647059 25.51863 The test statistic is, X2 =Σ(Oi-Ei)2Ei =25.52 The critical value at (r-1)*(c-1) = 2 and 0.05 level of singnificance =5.99 Decision:- The critical value =5.99 < calculated value =25.51863 ~25.52 . Therefore, reject the null hypothesis at 0.05 level of significance. Conclusion:- There is a relationship between gender and the type of quality of sleep.

Answered: Gender differences in quality of sleep.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Gender differences in quality of sleep. Suppose a researcher studies men and women difference in their type of sleep. Each participant reports whether their sleep was long, short, and restful. Is there a relationship between gender and the type of quality of sleep? Test at the .05 significance level using CV = 5.99.

Observed	Short	Long	Restful	Total
Female	18	4	2
Male	4	17	15
Total

Expected	Short	Long	Restful	Total
Female
Male
Total

		Observed	Expected	Differences	Squared differences	Divided by expected differences
Female	Short
Long
Restful
Male	Short
Long
Restful

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