1. A population mean is 13. The sample mean is 12.8, and the sample standard deviation is 2. The sample size is 20. What distribution should you use to perform a hypothesis test? Assume the underlying population is normal.

2. 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.

a. Is this a test of one mean or proportion?

b. State the null and alternative hypotheses.

H0: ____________________Ha : ____________________

c. Is this a right-tailed, left-tailed, or two-tailed test?

d. What symbol represents the random variable for this test?

e. In words, define the random variable for this test.

f. Is the population standard deviation known and, if so, what is it?

g. Calculate the following:

i. x=

ii. s =

iii. n =

h. Which test should be used?

i. State the distribution to use for the hypothesis test.

j. Find the p-value.

k. At a pre-conceived = 0.05, what is your:

. Decision:

i. Reason for the decision:

ii. Conclusion (write out in a complete sentence):