MATH 533 Final Exam 4 Different Sets
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% confidence interval for the proportion of voters who would be willing to support Sran.
- Before entering the race, Sran would like to conduct a poll to check his level of support. How big should be the sample be if he wants to be 95% sure that the error is no more than 2%?
- The average weight of men joining a gym has historically been 170 pounds with a standard deviation of 27. The owner feels that the average weight has now decreased to less than 165 pounds. To support his claim, the owner conducts a sample of 25 men and finds their average to be 153. He would like to use a significance level of .05 to test his claim.
- State the null hypothesis.
- State the alternate hypothesis.
- Will you use z or t distribution for this problem?
- Is this a two-tail test or a one-tail test? Draw a normal curve representing the problem.
- Determine the critical value.
- Determine the rejection region.
- Calculate the test statistic.
- Would you accept or reject the owner’s claim? Explain.
- A presidential candidate states that she currently has exactly 30% of the vote. A newspaper thinks that this number is inaccurate. So it conducts a sample 500 voters and finds 175 people support the candidate. The newspaper would like to test its claim using .05 significance level.
- State the null hypothesis.
- State the alternate hypothesis.
- Will you use z or t distribution for this problem?
- Is this a two-tail test or a one-tail test? Draw a normal curve representing the problem.
- Determine the critical value.
- Determine the rejection region.
- Calculate the test statistic.
- Would you accept or reject the newspaper’s claim?
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MATH 533 Final Exam 4 Different Sets
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