PSY/SOC 2341 - Statistics for Behavioral SciencesOnline Summer II 2022

Assignment 4

Directions: Please provide all answers using complete sentences. You are required to show your work on any item that involves calculations.

1. Here are the final standings for the NBA's Pacific Division for the 2021-2022 season:

Wins Losses

1. Phoenix Suns 64 18
2. Golden State Warriors 53 29
3. Los Angeles Clippers 42 40
4. Los Angeles Lakers 33 49
5. Sacramento Kings 30 52

Please calculate the following (a-f worth 1 point each):

1. M and SD for wins
2. M and SD for losses
3. z-score for Warriors wins
4. T-score for Warriors losses
5. z-score for Suns wins
6. T-score for Suns losses

1. The normal curve is an example of a(n) ______________________ distribution, whereas a distribution of the age of participants in your sample is an example of a(n) ________________ distribution. (1 point per blank)

1. Using the random digit table, please randomly select 15 scores from the following population of test scores below (Maximum score = 75). To earn credit for this question you must: 1) explicitly describe the method you used to determine which score would be included in your sample, and 2) provide a copy of the random digit table which must show the direction(s) you moved in and the columns you used to determine your sample scores (Tip: Use a pen/pencil to indicate the direction you moved in, and a highlighter to indicate a score that had been selected).

67, 71, 54, 63, 71, 63, 75, 54, 59, 55, 53, 60, 58, 61, 40, 70, 59, 57, 74, 69, 57, 68, 56, 73, 43, 74, 74, 53, 60, 69, 50, 75, 75, 62, 63, 62, 68, 57, 67, 64, 66, 63, 65, 74, 62, 65, 52, 72, 61, 70, 52, 57

1. In your own words, please state the Central Limit Theorem. Based on this, what do we know about the relationship between sample size and the accuracy of a sample mean as an estimate of the population mean?