thankyou for your help, much appreciated. A criminologist is interested in sente

Question

thankyou for your help, much appreciated.

A criminologist is interested in sentences given to males and females convicted in murder-for-hire cases. Selecting 14 cases involving men convicted of trying to solicit someone to kill their wives and 16 cases involving women convicted of trying to solicit someone to kill their husbands, the criminologist finds the following:

- Mean length of sentence for males = 7.34 years with a standard deviation of 2.51 years.

- Mean length of sentence for females = 9.19 years with a standard deviation of 3.78 years.

It is assumed that a 1-year difference in the length of sentence is considered substantial. The criminologist is trying to show that sentences for females are substantially longer than those for males.

(d) The degrees of freedom of the test are

(f) What is the conclusion?

Explanation / Answer

Part-a-First option

Part-b-estimated standard error=1.19

Part-c

Observed t=0.71

Part-d

Df=28

Part-e

Right tailed Crittical t=1.701

Part-f

Fail to reject H0

Part-g

Lower bound=-0.17

Part-h

Lower bound=0.17

Two-Sample T-Test and CI

Sample   N Mean StDev SE Mean

1       16 9.19   3.78     0.94

2       14 7.34   2.51     0.67

Difference = (1) - (2)

Estimate for difference: 1.85

95% lower bound for difference: -0.17

T-Test of difference = 1 (vs >): T-Value = 0.71 P-Value = 0.241 DF = 28

Both use Pooled StDev = 3.2526

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