Question

you collect data on a sample of 10 male current and former police officers who died in the last year and find that the mean age at the time of death is 72 with a SS =1521. you know that for the mean age of death for all males who died in the last year is 75. using alpha of .05, test the hypothesis that male police officers die, on average at a different age than the populations of males

Answer 1

H0: Null Hypothesis: =75

HA: Alternative Hypothesis: 75

n = Sample Size = 10

= Sample Mean = 72

s = Sample SD =

SE=s/

= 13/

= 4.1110

Test Statistic is given by:

t = (72 - 75)/4.1110

= - 0.7298

ndf = n - 1 = 10 - 1 =9

= 0.05

From Table, critical values of t = 2.2622

Since the calculated value of t = - 0.7298 is greater thancritical value of t = - 2.2622, the difference is not significant. Fail to reject null hypothesis.

Conclusion:

The data do not support the claim that the male police officers die, on average at a different age than the population of males.