Statistics Assignment DUE Saturday 7/24 by 9PM EST

You have been tasked with helping to predict the probability of re-offense in a child sex

offender. His scores on several indicators are given in the data set. It is known from

other studies that offenders who have a mean score from these indicators of higher

than 62 are very highly likely to re-offend; those with scores of 62 or lower are not as

likely to offend. Using a one-sample t-test, determine if this prior offender has a

statistically significant chance of re-offending in the future (i.e., his score is significantly

greater than the cutoff score).

Indicator Score

PROX 71

AGE 55

SES 60

INC 58

VICAG 42

VICREC 59

VICCON 77

NUMCON 63

NUMNOC 50

POPRES 87

Mean score = 62.2

Questions to Answer

1.  What is the correct H 0 and H A statement?     

	a.	H0: μ = 62 HA: μ > 62
	b.	H0: μ = 62 HA: μ < 62
	c.	H0: μ = 62.2 HA: μ > 62.2
	d.	H0: μ = 62.2 HA: μ = 62.2

2. What is the degrees of freedom for this data set?

3. What is the t c (critical value from the table) for this problem?

4. What is the to (calculated test value) for this problem?

5. What is the correct decision based on your calculations?

a. Since to > tc, we reject H0.

b. Since to < tc, we reject H0.

c. Since to > tc, we fail to reject H0.

d. Since to < tc, we fail to reject H0.

6. Based on your test, is this prior offender likely to re-offend?