Review answers exam 3

# Review answers exam 3 - Exam 3 Review Answers(For problem...

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1 Exam 3 Review Answers (For problem 1-2). For a person to have the mathematics skills to balance a checkbook, a person must have a score of 275 or more on the NAEP math test. Suppose researchers have concern that the population average is less than 275. They take a random sample of 100 individuals and find a sample mean of 270 with a standard deviation of 50. They wish to use this data to test the hypotheses H 0 : μ = 275, H a : μ < 2 75 where μ is the mean exam score of the population. 1. 6 pts. What is the value of the Z-statistic for doing the test of hypothesis? Choose the option closest to the correct value. a. -1.28 *b. -1.0 c. 0.1. z = 100 50 275 270 = -1.0 2 . 4 pts. What conclusion do we reach at the 5% level of significance? *a. There is not enough evidence to show that the population mean is less 275 b. The mean score of the population is significantly less than 275. 3 . 6 pts. The Chamber of Commerce claims that the mean yearly income of residents of a certain city is \$38,000 per person. A chain store is considering locating in the city and wants to know whether this is correct. They plan to take a random sample of residents to test the hypotheses H 0 : μ = \$38,000, Ha: μ ≠ 38,000 where μ is the average income of the population. Suppose it turns out that Z = 2.10. What is the p-value?

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