The average time period that spouses survive after the death of their partner is said to be greater for widows than for widowers. A sociologist who wishes to evaluate such claim obtained survival data (in years) following the death of a spouse on randomly selected 10 widows and 8 widowers.   Software Output:   Shapiro-Wilk Test

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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The average time period that spouses survive after the death of their partner is said to be greater for widows than for widowers. A sociologist who wishes to evaluate such claim obtained survival data (in years) following the death of a spouse on randomly selected 10 widows and 8 widowers.
 
Software Output:
 
Shapiro-Wilk Test
For Widows: data: survival p-value = 0.57
For Widowers: data: survival p-value = 0.98

Levene’s Test for Homogeneity of Variance
p-value = 0.98
 
What is the most appropriate test procedure to test the claim?
a. Z-test
b. Pooled t-test
c. Non-pooled t-test
d. Mann-Whitney Test
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