Psychologists believe that the "normal" IQ score for adults is 100 and is normally distributed with a standard deviation of 10. A random sample of 12 individuals in a halfway house for parolees convicted of a non-violent crime revealed these IQ scores:

91	91	92	92	93	93
95	100	100	101	101	103

Using the 0.05 significance level, can we conclude that these parolees have an average IQ score below the "normal" IQ score of the adult population?

Question 1

The null hypothesis should read:

Question 2 The alternate hypothesis should read:

Question 3 What is the correct test statistic? Choose between the z-test and the t-test.

Question 4 Will the upper tail, lower tail, or both tails be used?

Question 5 What is (are) the critical values: (Fill in the blank with the correct number to 4 decimal places.)

Question 6 What is the sample mean? (Fill in the blank with the correct number to 4 decimal places.)

Question 7 What is the population mean, mu ? (Fill in the blank with the correct number to 4 decimal places.)

Question 8 Will you use the population standard deviation or the sample standard deviation?

Question 9 What number will you use for the standard deviation? (Fill in the blank with the correct number to 4 decimal places.)

Question 10 What is the computed value of the test statistic? (Fill in the blank with the correct number to 4 decimal places.)

Question 11 Does the test statistic fall in the critical region or the rejection region:

Question 12 Is your decision not to reject or to reject the null hypothesis:

Question 13 Is your decision in favor of the null hypothesis or the alternate hypothesis:

Question 14 The correct statistical conclusion is:

Question 15 What is a potential meaning of these results for efforts to rehabilitate these parolees convicted of a non-violent crime, and for efforts to reintegrate released prisoners back into society?