**MATH 533 FINAL EXAM 4 DIFFERENT SETS**

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**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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