1) Random samples were selected from two independent populations - 160 observati

Question

1)

Random samples were selected from two independent populations - 160 observations from population 1 (dual degree students) and 140 from population 2 (management only degree). It is known from past studies that the population variance for dual degree students is 2 = 4.6 and the population variance for management only students is 2 = 5.0. The current study found that the mean score for the dual degree students is 81 and the mean score for the management only students is 83. Research Question: At level of significance = 0.05, is there evidence that the dual degree students are receiving lower grades than regular management students?

1. Mark or highlight the correct hypotheses (Choose carefully as several answers depend on which HA is selected)

H0: µ1 - µ2 0, HA: µ1 - µ2 < 0 (dual degree less than single degree)

H0: µ1 - µ2 0, HA: µ1 - µ2 > 0 (dual degree greater than single degree)

H0: µ1 - µ2 = 0, HA: µ1 - µ2 0 (dual degree not equal to single degree)

2)

The selected Hypotheses in question 1 Have a two-tailed test with lower and upper reject regions Have a one-tailed test with lower reject region Have a one-tailed test with upper reject region

Explanation / Answer

1. Option 2

Ho:u1<u2

Ha:u1>u2 ( right tail)

2. Option 3

One tailed test with upper rejection region

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