Question

Use the Frequencies option in SPSS to answer each of the questions based on the following scenario. Scenario A superintendent of a school district was requested to present to the school board demographic data based on the schools within the district. One item that the superintendent had to present was the percent of students who were eligible for free or reduced-price lunch (a commonly used proxy for socio-economic status). The following percentages were reported for the 40 schools in the district: 50.7 52.4 43.1 49.6 58.4 54.7 54.7 49.0 74.7 79.4 47.2 52.4 21.4 30.5 70.0 67.3 27.1 84.5 39.9 44.9 27.2 39.1 42.9 44.7 24.1 61.4 43.6 50.9 30.1 58.4 34.6 44.9 55.6 56.5 58.8 49.4 35.6 48.1 34.3 75.5 Use the data from Assignment 1 to answer each of the following questions. Note: For this assignment, all final answers must be rounded to decimal places.

Questions :

1. What is the mean percent of students receiving free or reduced lunch for this district?

2. What is the value of the standard deviation?

3. What is the z-score for each of the following percentages:

a. 84.5

b. 21.4

c. 24.1

4. Assuming the above data were normally distributed, what percent of scores are equal to or less than each of the following scores (Use Table B.1 and round z scores to two decimal places):

a. 84.5

b. 21.4

c. 24.1

5. For each of the following values, use the one-tail five percent (5%) criteria and determine if the occurrence of the score would be considered relatively likely or unlikely? (Note: Assume that the researcher is only interested in the extreme low percentage of students receiving free or reduced lunch--or the negative end of the normal curve).

a. 84.5

b. 21.4

c. 24.1

6. For each of the following scores, use the two-tail five percent (5%) criteria and determine if the occurrence of the score would be considered relatively likely or unlikely?

a. 21.4

b. 84.5

Answer 1