The amount of time spent in prison has a mean of 5.2 years and a standard deviation of 1.3 years. A prison counselor is trying to develop a program to help people to change the amount of time they are in jail. A sample of n= 16 participated in this program and had the following jail times in years: 5.1, 2.9, 5.9, 4.5, 3.3, 5.7, 6.1, 5, 6, 5.2, 5.8, 5.7, 5, 1.9, 2, 5.9 According to these data, did the counselor's program change the length of prison time for the participants? (Use a- 0.05, two-tail test) 14. Calculate the observed z score for the sample mean. 15. Calculate the effect size using Cohen's d. 16. What conclusion can the counselor make from these data? a. Reject the null; there was a significant difference b. Reject the null; there was not a significant difference C. Fail to reject the null; there was a significant difference d. Fail to reject the null; there was not a significant difference

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The amount of time spent in prison has a mean of 5.2 years and a standard deviation of 1.3 years. A
prison counselor is trying to develop a program to help people to change the amount of time they are
in jail. A sample of n= 16 participated in this program and had the following jail times in years:
5.1, 2.9, 5.9, 4.5, 3.3, 5.7, 6.1, 5, 6, 5.2, 5.8, 5.7, 5, 1.9, 2, 5.9
According to these data, did the counselor's program change the length of prison time for the
participants? (Use a = 0.05, two-tail test)
14. Calculate the observed z score for the sample mean.
15. Calculate the effect size using Cohen's d.
16. What conclusion can the counselor make from these data?
a. Reject the null; there was a significant difference
b. Reject the null; there was not a significant difference
c. Fail to reject the null; there was a significant difference
d. Fail to reject the null; there was not a significant difference
Transcribed Image Text:The amount of time spent in prison has a mean of 5.2 years and a standard deviation of 1.3 years. A prison counselor is trying to develop a program to help people to change the amount of time they are in jail. A sample of n= 16 participated in this program and had the following jail times in years: 5.1, 2.9, 5.9, 4.5, 3.3, 5.7, 6.1, 5, 6, 5.2, 5.8, 5.7, 5, 1.9, 2, 5.9 According to these data, did the counselor's program change the length of prison time for the participants? (Use a = 0.05, two-tail test) 14. Calculate the observed z score for the sample mean. 15. Calculate the effect size using Cohen's d. 16. What conclusion can the counselor make from these data? a. Reject the null; there was a significant difference b. Reject the null; there was not a significant difference c. Fail to reject the null; there was a significant difference d. Fail to reject the null; there was not a significant difference
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