A social worker finds that his clients require a mean of 65.1 days to find employment (standard deviation = 12.6 days). Because he meets with the clients weekly, he thinks it makes more sense to convert the data from days to weeks. Doing this would require dividing every person’s datum by 7.

a. What would the new mean for the data be?

b. What would the new standard deviation for the data be?

c. The original data was positively skewed and mesokurtic. What would the shape of the data be after converting the variable’s unit from days to weeks?

d. How would you convert the original scores (measured in days) for this dataset to z-scores?