Unit 3 Homework – Statistics

1. The Statistics Aversion Scale (SAS) is normally distributed and has a population mean of 500 and a population standard deviation of 20. Compute the z-score and locate the percentile rank in the normal curve table for each of the following scores.
   1. Score of 460 on the SAS.
   2. Score of 500 on the SAS
   3. Score of 540 on the SAS
2. Find the following proportions under the normal distribution.
   1. between the mean and a z of 1.65
   2. above a z of .40
   3. above a z of 0.
   4. above a z of -1.10
   5. below a z of -.10
3. Find the z-scores corresponding to these percentages of a normal distribution.
   1. the highest 5%.
   2. the lowest 1 %.
   3. the highest 10%.
   4. the lowest 50%.
4. A researcher hypothesizes that there will be a correlation between number of hours per week spent watching TV and grade point average. Eight students are measured on both variables, yielding the following data:

TV GPA

1 3.8

2 4.0

3 2.7

3 3.9

6 3.0

12 2.4

20 1.3

32 3.2

1. Compute the Pearson correlation coefficient.
2. What proportion of variance in GPA is explained by TV (coefficient of determinism)?
   5. The correlation between interview score and job performance was found to be +0.45.
   Interview Job Performance
   mean = 4.50 mean = 70.50
   std. dev. = .75 std. dev. = 9.00
   1. Find the regression equation for predicting job performance from interview scores.
   2. Predict the job performance for a person with a score of 5 on the interview.
   3. Calculate the standard error of the estimate.

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