The state of CT claims that the average time on death row is 15 years. A random

Question

The state of CT claims that the average time on death row is 15 years. A random survey of 75 death row inmates revealed that the average length of time on death row is 17.5 years with a standard deviation of 6.2 years. Conduct a hypothesis to test the state of CT's claim. What type of test should be run? z-test of a proportion O t-test of a mean The alternative hypothesis indicates a Oright-tailed test two-tailed test left-tailed test Calculate the p-value. What is the decision? We fail to reject the claim that the average time on death row is 15 years We reject the claim that the average time on death row is 15 years

Explanation / Answer

This is a t-test of mean , as we are given average values for comparisons

This will be a 2 tail test as we interested in whther the average time on death row is 15years or is it different from 15 years

so we calculate the t test as

t = (xbar - mu)/(sd/sqrt(n))

(17.5-15)/(6.2/sqrt(75)) = 3.492

now we calculate the p value for df = 75-1 = 74 , and t = 3.492 , from the t table

The P-Value is .000812.

as the p value is less than 0.05 , hence we reject the null hypothesis in favor of alternate hypothesis

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