A random survey of 75 death row Inmates revealed that the mean length of time on

Question

A random survey of 75 death row Inmates revealed that the mean length of time on death row Is 17.4 years with a standard deviation of 6.3 years. Conduct a hypothesis test to determine If the population mean time on death row could likely be 15 years. Is this a test of means or proportions? State the null and alternative hypotheses. Is this a right-tailed, left-tailed, or two-tailed test? What symbol represents the Random Variable for this test? In words, define the random variable for this test Is the population standard deviation known and, if so, what is it? Calculate the following: Which test should be used ? State the distribution to use for the hypothesis test Find the p-value. At a pre conceived alpha = 0.05, what is your: Decision: Reason for the decision Conclusion (write out in a complete sentence):

Explanation / Answer

a) This is a test of means.

b)   H0: = 15

Ha: 15

c) two tailed test

d) x bar

e) The mean time spent on death row for 75 inmates

6) No

7) i) 17.4

ii) s = 6.3

iii) n = 75

8) t_74

9) Student t- test

10) 0.0015

11) i.) Decision: Reject the null hypothesis.

ii.) Reason : p-value < alpha = 0.05

iii.) Conclusion: At the 5% level of significance, there is sufficient evidence to conclude that the mean time spent on death row is not 15 years.

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