Determining rejection point

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Reference no: EM1318910

An article studied the relationship between voluntary organizational turnover and such factors as work performance, work satisfaction, and company tenure. As part of the study, the article's authors compared work performance ratings for "stayers" (employees who stay in their organization) and "leavers" (employees who voluntarily quit their jobs). Suppose that a random sample of 175 stayers has a mean performance rating (on a 20-point scale) of x-bar₁ = 12.8, and that a random sample of 140 leavers has a mean performance rating of x-bar₂= 14.7. Assume that these random samples are independent and that σ₁ = 3.7 and σ₂ = 4.5:

Let μ₁ be the mean performance rating for stayers, and let μ₂be the mean performance rating for leavers. Use the sample information to calculate a 99 percent confidence interval for μ₁ - μ_2.

Set up the appropriate null and alternative hypotheses needed to try to establish that the mean performance rating for leavers is higher than the mean performance rating for stayers:

H_o:

H_a:

What is the rejection point at α = .01 and indicate if you would accept or reject H_o?

Reference no: EM1318910

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