# Two STATS Questions Set

August 14, 2017

1) The College Board reported the following mean scores for the three parts of the Scholastic Aptitude Test (SAT):Critical Reading 510 Mathematics 500 Writing 490Assume that the population standard deviation on each part of the test is ? = 90.a) What is the probability a random sample of 100 test takers will provide a sample mean test score within 10 points of the population mean of 510 on the Critical Reading part of the test?b) What is the probability a random sample of 81 test takers will provide a sample mean testscore within 15 points of the population mean of 500 on the Mathematics part of the test?c) What is the probability a random sample of 121 test takers will provide a sample meantest score within 12 points of the population mean of 490 on the writing part of the test?2) The average price of a gallon of unleaded regular gasoline was reported to be \$3.90 in southwest Florida. Use this price as the population mean, and assume the population standard deviation is \$.20.a) What is the probability that the mean price for a sample of 36 service stations is within \$.05 of the population mean?b) What is the probability that the mean price for a sample of 64 service stations is within \$.05 of the population mean?c) What is the probability that the mean price for a sample of 100 service stations is within \$.05 of the population mean?

Order your essay today and save 20% with the discount code: ESSAYHELP