Compute the test statistic z

Question

According to NSCB statistics, the life expectancy of Filipino women is 70.1 years. Suppose a random sample of 30 women in town B yields a mean of 72.5 years with a population variance of 4.76 years, would you say that the life expectancy of the women in town B is greater than the average?

Answer 1

H0​:μ≤70.1

H1​:μ>70.1 Claim

The rejection region for this right-tailed test is 1.69

t= (72.5-70.1)/(4,76/sqrt(30))=2.7616

reject null



Therefore, there is enough evidence to claim that the population mean μ is greater than 70.1, at the α=0.05