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# MATH 533 Final Exam 2

**MATH 533 Final Exam**

**1. **(TCO D) Putting People to Work has a growing business placing out-of-work MBAs. They claim they can place a client in a job in their field in less than 36 weeks. You are given the following data from a sample.

Sample size: 100 – Population standard deviation: 5 – Sample mean: 34.2 – Formulate a hypothesis test to evaluate the claim.

**2. **(TCO B) The Republican party is interested in studying the number of republicans that might vote in a particular congressional district. Assume that the number of voters is binomially distributed by party affiliation (either republican or not republican). If 10 people show up at the polls, determine the following: Binomial distribution………What is the probability that no more than four will be republicans?

**3. **(TCO A) Company ABC had sales per month as listed below. Using the Minitab output given, determine: (A) Range (B) Median and (C) The range of the data that would contain 68% of the results.

**4. **(TCO C, D) Tesla Motors needs to buy axles for their new car. They are considering using Chris Cross Manufacturing as a vendor. Tesla’s requirement is that 95% of the axles are 100 cm ± 2 cm. The following data is from a test run from Chris Cross Manufacturing. Should Tesla select them as a vendor? Explain your answer. Descriptive statistics…..

**5. **(TCO D) A PC manufacturer claims that no more than 2% of their machines are defective. In a random sample of 100 machines, it is found that 4.5% are defective. The manufacturer claims this is a fluke of the sample. At a .02 level of significance, test the manufacturer’s claim, and explain your answer.

**6. **(TCO B) The following table gives the number of visits to recreational facilities by kind and geographical region.

(A) Referring to the above table, if a visitor is chosen at random, what is the probability that he or she is either from the South or from the West?

(B) Referring to the above table, given that the visitor is from the Midwest, what is the probability that he or she visited a local park?

**7. **(TCO B, F) The length of time Americans exercise each week is normally distributed with a mean of 15.8 minutes and a standard deviation of 2.2 minutes

(A) Analyze the output above to determine what percentage of Americans will exercise between 11 and 21 minutes per week.

(B) What percentage of Americans will exercise less than 15 minutes? If 1000 Americans were evaluated, how many would you expect to have exercised less than 15 minutes?

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