Homework: Homework 5 Save Score: 0 of 1 pt 6 of 10 (5 complete) HW Score: 34.25%

Question

Homework: Homework 5 Save Score: 0 of 1 pt 6 of 10 (5 complete) HW Score: 34.25%, 3.43 of 10 pts E Question Help 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 Country Country Sample mean Sample size 30 Population standard deviation years years 65.5 years years 67.8 30 5.0 5.5 a. Perform a hypothesis test using a 0.10 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. OA. Ho: 1-220 OB, Howl-u2 #0 H1 : 1-2

Explanation / Answer

The statistical softwre output for this problem is:

Two sample Z summary hypothesis test:
1 : Mean of population 1 (Std. dev. = 5)
2 : Mean of population 2 (Std. dev. = 5.5)
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 < 0

Hypothesis test results:

Hence,

Hypotheses: Option A is correct.

Test statistic = -1.69

Critical value = -1.28

falls (is); reject; sufficient

p - Value = 0.045

less than; reject; sufficient

Difference n1 n2 Sample mean Std. err. Z-stat P-value 1 - 2 30 30 -2.3 1.3570802 -1.6948151 0.0451

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