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Practice Midterm Exam

# Practice Midterm Exam - AMS315 Practice Midterm Exam Summer...

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AMS315 Practice Midterm Exam Summer, 2010 Last Name: _____________________ First Name: _____________________ #ID:_______________________ 1. ( points) The distribution of personal income of full-time retail clerks working in a large eastern city has \$62,000 and =\$8,000. (a) What is the approximate distribution for based on a random sample of 100 persons? (b) Find the probability that the average income of the 100 persons sampled exceeds \$63,000. 2. ( points) Let denote the true average tread life of a certain type of tire. Consider testing vs. based on a sample of size n=25 from a normal distribution with =2,000. (a) If the true average tread life is 31,000 and =.01, what is the probability of a Type II error? What is the power of the test?

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(b) What the sample size n is required to satisfy =.01 and =.1? 3. ( points) Recorded here are the amounts of decrease in percent body fat for eight participants in an exercise program over three weeks. 1.8 10.6 -1.2 12.9 15.1 -2.0 6.2 10.8 (a) Construct a 95% confidence interval for the population mean amount of decrease in percent body fat over the three-week program. State your assumption if necessary.
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