Math 533 Week 8 Final Exam

MATH 533 WEEK 8 FINAL EXAM

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MATH 533 WEEK 8 FINAL EXAM,

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

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

Determine the mean.

Determine the median.

Determine the mode.

Describe the shape of the distribution.

Determine Q1, Q2, Q3 and IQR.

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

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

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.

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

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

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

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

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 interval for the average exam grade.

Preliminary studies have shown that 20% of the voters might be willing to vote for Sran for President.

Construct a 90%...