# What is the z score for a score of 79 when the mean score of all persons who complete a depression scale is 89 and the standard deviation is 5?

- What is the
*z*score for a score of 79 when the mean score of all persons who complete a depression scale is 89 and the standard deviation is 5? - Is a person with a score of 79 more or less depressed than most other people who complete the scale?
- Use Table 4.3 (
**in your text**) to find the following:- a. The area of the normal curve above a
*z*score of 1.71. - b. The area of the normal curve between the mean and a
*z*score of -1.34. - c. The z score of the normal curve that marks the 38th percentile
- d. The
*z*scores that mark the upper and lower limits of the middle 42 percent of the normal curve.

- a. The area of the normal curve above a

**Chapter 5**

* CASE STUDY*: As an administrator of a local United Way agency, your job is to allocate funds for agencies that request them. Two agencies (

*A*and

*B*) require money from you so that they can stay in operation next year. Both offer the same services,

**but you have enough money to fund only one**.

**Agency**states that its clients had a mean treatment success score of 42 on a standardized measuring instrument that measures client functioning (N = 1,000).**A****Agency****B****,**using the same measuring instrument, states that its mean treatment success score was 44 for the same period. Agency*B*also had 1,000 clients.

You take these data and calculate the appropriate statistic to determine whether sampling error played any role in the difference in scores. Your statistical analysis produces a finding of p < **.**25.

Answer the following questions:

- Will you be able to use your statistical analysis to decide which agency to fund? Why?
- Discuss what additional information you would want before taking action on the study’s results. Justify your answer.

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