A counselor records the number of disagreements (per session)among couples during group counseling sessions.If the number of disagreements is distributed normally as 4.4 0.4 (M SD)disagreements,then what proportion of couples disagree at least 4 times during each counseling session?
A).3413
B).1587
C).8413
D)The probability is not listed in the unit normal table.

Question

A counselor records the number of disagreements (per session)among couples during group counseling sessions.If the number of disagreements is distributed normally as 4.4  0.4 (M  SD)disagreements,then what proportion of couples disagree at least 4 times during each counseling session?
A).3413 
B).1587 
C).8413 
D)The probability is not listed in the unit normal table.

Quizplus · Accepted Answer

To find the proportion of couples that disagree at least 4 times during each counseling session, we need to calculate the probability of getting a value of 4 or greater from a normally distributed variable with mean 4.4 and standard deviation 0.4.

We can standardize the variable using the formula z = (x - mu) / sigma, where x is the number of disagreements, mu is the mean, and sigma is the standard deviation:

z = (4 - 4.4) / 0.4 = -1

Then, we can use a standard normal table or calculator to find the probability of getting a z-score of -1 or greater. This is equivalent to finding the area under the standard normal curve to the right of z = -1:

P(z >= -1) = 0.8413

Therefore, the proportion of couples that disagree at least 4 times during each counseling session is 0.8413, or 84.13%, which corresponds to choice C.

A Counselor Records the Number of Disagreements (Per Session)among Couples