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MATH 533 Final Exam 4 Different Sets

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MATH 533 Week 8 Final Exam Set 1

MATH 533 Week 8 Final Exam Set 2

MATH 533 Week 8 Final Exam Set 3

MATH 533 Week 8 Final Exam Set 4

1. Given the following sample of 10 high temperatures from March: 55, 60, 57, 43, 59, 66, 72, 65, 59, 47.

1. Determine the mean.

2. Determine the median.

3. Determine the mode.

4. Describe the shape of the distribution.

5. Determine Q1, Q2, Q3 and IQR.

1. Your friend is applying for 4 jobs. The hourly pay rate for the 4 jobs are, $8, $12, $15, $20. The probability distribution below shows the probability of getting each of these jobs:

Job Pay Rate, X Probability, P(X)

8 .30

12 .20

15 .40

20 .10

1. What is the probability that your friend will get a job paying at least $15/hour?

2. What is the expected pay rate for your friend?

• You ask all 200 students at school how much money they have in their pockets. The amount ranges from $0 to $130. You determine the mean to be $56.40 with standard deviation of $8.40. You believe that the amount is normally distributed.

1. If you pick a person at random, what is the probability that he/she has at least $45?

2. What percentage of the students will have between $40 and $50 in their pockets.

3. If you pick a person at random, what is the probability that he/she has either less than $30 or more than $70.

4. Approximately how many people in the class do you expect to have at least $65?

5. We want to identify the students with top 10.5% amounts as “rich”. What is the minimum dollar amount the students in this group would need in their pockets.

• A sample of 100 exams yielded an average grade of 82 and standard deviation of 14. Find a 95% confidence...