or of the e tect of cole e st de e e ng om ent on oas, nrto \" one, the folowing

Question

or of the e tect of cole e st de e e ng om ent on oas, nrto " one, the folowing wrm x. The sampies were seleted at random fsom worting and onorking studentsot s riverst to too Gecmal places, your af own to tme nearest ipie number, ond your Prvsive to tres l places.) Sample Mean Standard Size PA Deviation 1 3.220485 18 3.33 524 nts Wrho ployed s Who t Employed the bypothesis that for students at this university, those who are n ed have a higher mean GPA an those who are empioyes? Use a significance level of 0. es yneed to use tme appropriate table in Azpendiz & to answer this question. Hp?

Explanation / Answer

Here we have to test the hypothesis that,

H0 : mu1 = mu2 Vs H1 : mu1 > mu2

where mu1 and mu2 are two population means.

Assume alpha = level of significance = 0.05

Sample sizes are too large so we use two sample Z-test.

Given that,

n1 = 170

n2 = 118

X1bar = 3.22

X2bar = 3.33

sigma1 = 0.485

sigma2 = 0.524

We can do 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 " > mu2" --> ENTER --> Calculate --> ENTER

Test statistic z = -1.81

P-value = 0.9645

P-value > alpha

Fail to reject H0 or accept H0 at 5% level of significance.

Conclusion : There is sufficient evidence to say that two population means are equal.

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