# Prior data shows the standard deviation of house

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the margin of error to be no more than \$1000. Prior data shows the standard deviation of house prices is \$10,000. 14. Suppose your sample of size 100 had an average house price of \$170,000. Use this information to give your best estimate for the average house price for all homes in Columbus, OH. ANS_________________ 15. Suppose a newspaper article reports that the average house price in Columbus OH is \$180,000. Do you agree with their report, based on your data from #37? EXPLAIN BRIEFLY. YES NO WHY or WHY NOT: 3

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#16-18: Suppose it is known that 30% of students at a particular college are smokers. 16. A sample of 5 students from that college is selected at random. Find the probability that the number of smokers in this sample is less than 4. ANS _______________ 17. A sample of 100 students from the college is selected at random. Find the probability that the number of smokers in this sample is less than 40. 18. There are 2 conditions that need to be met in order to be able to use the normal approximation. What is the minimum sample size needed in order to meet these two conditions in this particular situation (the smokers problem above)? #19-20: Suppose the time to delivery of a package has a normal distribution with mean 2 days and standard deviation 0 .5 days. 19. What is the chance that one package selected at random took more than 2.2 days to deliver? ANS___________ 20. What is the chance that 36 packages selected at random have an average delivery time of more than 2.2 days? ANS____________ 4
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