Country A Country B The data to the right show the average retirement ages for a
ID: 3372095 • Letter: C
Question
Country A Country B The data to the right show the average retirement ages for a random sample of workers in Country A and a random sample of workers in Country B. Complete parts a and b Sample mean Sample size Population standard deviation 64.5 years 66.1 years 30 30 4.5 years 4.9 years a. Perform a hypothesis test using ?= 0.01 to determine if the average retirement age in Country B is higher than it is in Country A. Let population 1 be the workers in Country A and population 2 be the workers in Country B. Identify the null and alternative hypotheses. Choose the correct answer below. Calculate the appropriate test statistic. The test statistic is Round to two decimal places as needed.)Explanation / Answer
The statistical software output for this problem is:
Two sample Z summary hypothesis test:
?1 : Mean of population 1 (Std. dev. = 4.5)
?2 : Mean of population 2 (Std. dev. = 4.9)
?1 - ?2 : Difference between two means
H0 : ?1 - ?2 = 0
HA : ?1 - ?2 < 0
Hypothesis test results:
Hence,
a) Hypotheses: Option E is correct.
Test statistic = -1.32
Critical value = -2.33
is not; do not reject; insufficient
b) p - Value = 0.094
Greater than; do not reject; insufficient
Difference n1 n2 Sample mean Std. err. Z-stat P-value ?1 - ?2 30 30 -1.6 1.214633 -1.3172703 0.0939