Question 4 (1 point) Consider a scenario where we collect two samples of date (o

Question

Question 4 (1 point)

Consider a scenario where we collect two samples of date (one from KSU student population and one from EU student population). Each sample contains 200 students. The KSU sample has the average value of 22.1 and the EU sample average is 22.0. The standard deviations (assume that these are known population standard deviations) are: for KSU it is 0.9, for EU it is 0.2. Based on this information, please conduct a 95% confidence test for the equality of the population means of the two populations and state the p-value of the test.

Question 4 options:

0.0625

0.9375

0.0313

none of the above

0.0625

0.9375

0.0313

none of the above

Explanation / Answer

Here given that,

We have to test the hypothesis that,

H0 : mu1 = mu2 Vs H1 : mu1 not= mu2

where mu1 and mu2 are two population means.

Assume alpha = level of significance = 0.05

Here population standard deviations are known so we use two sample z-test.

We can conduct two sample z-test in TI-83 calculator.

steps :

STAT --> TESTS --> 3:2-SampZTest --> ENTER --> High light on Stats –-> ENTER --> Input all the values --> alternative " not= mu2" --> ENTER --> Calculate --> ENTER

Test statistic = 1.534

P-value = 0.1250

0.1250 is the correct P-value.

Option 4) is correct.

n1 200 n2 200 X1bar 22.1 X2bar 22 sigma1 0.9 sigma2 0.2 c 0.95

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