Question

In: Statistics and Probability

Use this study to answer the following six questions: A large company had several members of...

Use this study to answer the following six questions: A large company had several members of its board of directors arrested for embezzlement, widely reported in the national news in a negative manner. Their human resources department was concerned that the company's resulting reputational damage had a negative effect on their employees. The HR department administers a standard stress questionnaire to their employees annually, which has a mean score of 129.4 (higher numbers indicate more stress). They obtained a sample of 61 current employees and gave them the stress questionnaire after the negative news was publicized; results showed a mean of =131.2 and standard deviation of = 12.30. Did the news about the arrests increase employee stress?

Identify the null and alternative hypotheses:

What is the correct CV and decision rule for rejecting the null hypothesis?

What is the standard error?

What is the observed value of t?

What is eta²?

Write an APA style conclusion about the results, including properly formatted statistics, in the context of the study.

Expert Solution

Ho : µ = 129.4
Ha : µ > 129.4

degree of freedom=   DF=n-1=   60


CV , critical t value, t* =        1.671   [Excel formula =t.inv.rt(α,df) ]
decision rule, reject Ho if t >1.671

==========

Standard Error , SE = s/√n = 12.3000 / √ 61 = 1.5749

--------------

t-test statistic= (x̅ - µ )/SE = ( 131.200 - 129.4 ) / 1.5749 = 1.143

------------------

decision: fail to reject Ho beause t <1.671

there is not enough evidence to conlcude that news about the arrests increase employee stress

t(60) = 1.143

p value=0.1288

orchestra answered 2 years ago

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