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A state governor suspects a judge of being a hanging judge because he is perceived as levying tougher penalties for the same sentence. To investigate,

A state governor suspects a judge of being a "hanging judge" because he is perceived as levying tougher penalties for the same sentence. To investigate, a random sample of 40 cases is taken from the judge's prior cases that resulted in a guilty verdict for a certain crime. The mean jail sentence he imposed for the sample is 21 months. The mean jail sentence for the same type of crimes is 24 months with a standard deviation of 9 months. What can be concluded with = 0.10? a) What is the appropriate test statistic? b) Population: Sample: c) Obtain/compute the appropriate values to make a decision about H0. Critical Value = ; Test Statistic = Decision: d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below. [ , ] e) Compute the corresponding effect size(s) and indicate magnitude(s). If not appropriate, input and select "na" below. d = ; Magnitude: r2 = ; Magnitude: f) Make an interpretation based on the results. For the same sentence, the judge levied significantly tougher penalties than other judges. For the same sentence, the judge levied significantly milder penalties than other judges. For the same sentence, the judge's penalties did not significantly differ from other judges.

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