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3. We'll examine the results of the 2014-2015 SAT math exam with a mean of 501 and standard dev_ation of 11/, as reported in Table

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3. We'll examine the results of the 2014-2015 SAT math exam with a mean of 501 and standard dev_ation of 11/, as reported in Table 5.1. Table 5.1 2014-2015 SAT Component Means a.' Star.dard Deviations for His.. School Seniors Number of Test Critical Reading Mathematics Writing Takers Mean Standard Mean Standard Mean Standard De riation Deviation Deviation 1,108,165 485 110 501 117 175 109 Source College oard, 2015 College-bound Seniors Total Group Profile Report, Table 3, 2015 The College Board . www collegeboard.org Tage 131 in Frankfort -Nachamias a What percentage of seniors scored lower than 200 on the math SAT? b . What percentage scored between 625 and 675 points ? c. Your score is 700. What is - our percentile rank? 4. The number of hours people work each week varies widely for many reasons . Using the GSS 201 , you find that the mean number of hours worked last week was 41.47 , with a standard deviation of 15.7 hours , based on a sample size of 912 . Assume that hours worked is approximately normally distributed in the sample . What is the probability that someone in the sample with work 60 hours or more in a week ? b. How many people in the sample should have worked 60 hours or more ? c. What is the probability that someone will work 30 hours or fewer in a week i.e., work part time )? d. How many people does this represent in the sample e. What number of hours worked per week corresponds to the 60 percentile

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