ONLY PART 1 & 2. Thank you!

CJ 2602: Criminal Justice Statistics

Problem Set 2

Student’s Name: ___________________________

Be sure to answer all parts of each question. All work must be conducted individually. Remember to show all steps involved in any computations. Failure to do so will have an adverse impact on your grade. If you need more room to work out problems, label the question and attach this to the back of the packet.

Part 1: Probability (1 pt each)

Using a regular deck of 52 cards (no Jokers), calculate the following probabilities:

1. What is the probability of selecting a spade or a king?

1. What is the probability of selecting a face card?

1. What is the probability of selecting a spade and then a 9, with replacement?

1. What is the probability of selecting a club and then a spade, without replacement?

1. What is the probability of selecting a red card or a spade?

1. What is the probability of selecting a 4 twice in a row, without replacement?

1. What is the probability of selecting a 9 or a red card?

1. What is the probability of selecting a 7 or a face card?

1. What is the probability of selecting four hearts in a row, without replacement?

1. What is the probability of selecting a 10 and then a jack, with replacement?

1. What is the probability of selecting a club or a face card?

1. What is the probability of selecting a red card or a face card?

1. What is the probability of selecting a black card and then a queen, with replacement?

1. What is the probability of selecting a heart and then a face card, without replacement (assume you did not draw a face card on the first draw)?

1. What is the probability of selecting the ace of spade four times in a row, with replacement?

1. What is the probability of selecting a numbered card or a face card?

1. What is the probability of selecting a black card or 2 or 4?

1. What is the probability of selecting a black card four times in a row, without replacement?

Part 2: Z Scores (4pts each)

1. The Consideration of Future Consequences (CFC) scale is often used with students to determine how future-oriented they are, particularly in terms of careers. Researchers believe that a high CFC score is a positive indicator of a student’s potential. The following are CFC scores from a sample of Temple University undergraduates.

1. 1. If a student has a CFC score of 2.30, what percentage of scores is at or below this student’s CFC score?

1. 1. If a student has a CFC score of 4.70, what percentage of scores is at or above this student’s CFC score?

1. 1. If a student has a CFC score at the 80th percentile, what is their z score?

1. 1. If a student has a CFC score of 0.22, what percentage of scores is at or below this student’s CSC score?

1. The Implicit Association Test (IAT) scale is often used to measure attitudes and beliefs that people may be unwilling or unable to report, particularly in terms of prejudice or racism. Researchers believe that a high IAT score is a positive indicator of a person implicit association potential. The following are IAT scores from a sample of US congressmen and congresswomen.

1. If a person has an IAT score of 87.99, what percentage of the sample is at or above this person’s IAT score?

1. If a person has an IAT score of 60.22, what percentage of the sample is at or below this person’s IAT score?

1. If a person has an IAT score of 52.93, what percentage of the sample is at or above this person’s IAT score?

1. If a person has an IAT score at the 58th percentile, what is their z score?

1. The following tables represent two different scales for measuring overall health. For both scale, higher scores are indicative of better health.

1. If a person has a score of 51 on the “Better Health Wellness” scale, what percentage of scores are at or above this score?

1. If a person has a score of 301 on the “Living Right” scale, what percentage of scores are at or below this score?

1. Samantha has high blood pressure but exercises; she has a wellness score of 84 on the “Better Health Wellness” scale. Nicole is of average weight but has high cholesterol; she has a wellness score of 343 on the “Living Right” scale. Who would you say is in better health?

1. The following tables represent exam 1 grades for two classes of American History. The exam was out of 100 points.

1. If a student from Class A were to score an 88, what percentage of the class is at or below this score?

1. If a student from Class B were to source a 44, what percentage of the class is at or above this source?

1. Order the following 6 students across both classes (from 1st to 6th) according to their percentage rank?

Class A: Gianna (79); Michya (74); Zamir (71) / Class B: Kate (82); Devon (92); Kelly (68)

1st 2nd 3rd 4th 5th 6th________

Part 3: Confidence Intervals (4pts each)

1. We sample 664 gang members to estimate their average number of years spent in prison. We discover that our sample mean is 22.9 years with a standard deviation 4.8 years. Calculate intervals for the following confidence levels.

60% Confidence Level

80% Confidence Level

95% Confidence Level

99% Confidence Level

1. We sample 54 professors to estimate their average salary. We discover that our sample mean is $64,554 with a standard deviation $1,210 dollars. Calculate intervals for the following confidence levels.

66% Confidence Level

85% Confidence Level

95% Confidence Level

99% Confidence Level

1. We sample 104 Temple football fans to estimate the average number of games they watch per year. We discover that our sample mean is 10 with a standard deviation of 2 games. Calculate intervals for the following confidence levels.

70% Confidence Level

75% Confidence Level

95% Confidence Level

99% Confidence Level

1. We sample 504 Criminal Justice students to estimate the average number of books they read per year. We discover that our sample mean is 3 with a standard deviation of 2 books. Calculate intervals for the following confidence levels.

55% Confidence Level

90% Confidence Level

95% Confidence Level

99% Confidence Level