complete worksheet no ai show work if needed

Name_________________________________________________________________

In these problems, you will:

• Define z scores and interpret their values

• Calculate z scores and find portions of the distribution that fall above, below, or between z scores

Please answer the following on this page or on additional paper if needed. You must show all of your work to receive full credit for your answers.

• For any math problem, your final answer must be enclosed in a box.

• For any excel problem, follow the directions and upload with problem set

• Your homework must be completed independently, or it is considered academic dishonesty

1. What is a z-score? If you have a z-score of -2.37, what does that value mean?

1. If you create z scores for all values of a variable, what will the mean of the new standardized distribution for the variable be?

1. According to the Maryland Sentencing Commission, offenders convicted of first degree burglary receive a mean prison sentence of 7.9, with a population standard deviation of 5.3. Draw a distribution for each question!

1. What percentage of inmates was sentenced to between 2 and 5 years?

1. What proportion of inmates was sentenced to between 5 and 12 years?

1. What percentage of inmates was sentenced to more than 12 years?

1. What proportion of the inmates was sentenced to more than 5 years?

The grades on a criminological theory midterm at GSU are normally distributed with a mean of and a population standard deviation of 5.5.

1. 1. Find the z-score for a person who scored a 90 on the exam. Interpret the z-score.

1. 1. What percentage of students scored between a 65 and 85 on the exam?

1. 1. What proportion of students scored between an 80 and 95 on the exam?

1. 1. What percentage of students scored more than an 85 on the exam?

1. 1. What percentage of students scored less than 60 on the exam?

1. 1. What percentage of students scored more than a 65 on the exam?

1. 1. If a student scored an 86 on the exam, did they score in the top 15% of scores? Show your work for how you determined.

4. You are interested in knowing how many days persons in prison have spent in segregation in a prison in Georgia. You ask a sample of persons in prison and they tell you the following:

0, 2, 33, 25, 5, 10, 7, 14

a. Using a blank workbook in Excel, calculate z-scores for each score in this distribution. You MUST upload an excel workbook along with your HW that shows your math or formula for calculating this to receive credit.