Anxiously-attached individuals in the general population tend to have low levels of satisfaction in their romantic relationships (μ = 10, σ = 5, positively skewed distribution). A therapist interested in increasing relationship satisfaction provides a week-long relaxation seminar to 11 anxious individuals. After completing the seminar, relationship satisfaction in the sample averages 12.
-What is the corresponding Z score for the sample's mean score on the comparison distribution?
A)0.66
B)1.32
C)0.44
D)1.74

Question

Anxiously-attached individuals in the general population tend to have low levels of satisfaction in their romantic relationships (μ = 10, σ = 5, positively skewed distribution). A therapist interested in increasing relationship satisfaction provides a week-long relaxation seminar to 11 anxious individuals. After completing the seminar, relationship satisfaction in the sample averages 12.  
-What is the corresponding Z score for the sample's mean score on the comparison distribution?
A)0.66
B)1.32
C)0.44
D)1.74

Quizplus · Accepted Answer

To find the Z score for the sample's mean score, we use the formula:

Z = (X - μ) / (σ / sqrt(n))

Where X is the sample mean (12), μ is the population mean (10), σ is the population standard deviation (5), and n is the sample size (11).

Plugging in the numbers, we get:

Z = (12 - 10) / (5 / sqrt(11)) = 1.32

Therefore, the corresponding Z score for the sample's mean score on the comparison distribution is 1.32, which corresponds to choice B.

Anxiously-Attached Individuals in the General Population Tend to Have Low