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Topic: Chapter 6 Standard Deviation and the normal model (Percentages)Name: ________________________________ Date: _______________________Objective: We will use mean and standard deviation to determine z-scores to determine what percentile a data value is in. What is a percentile? What is a percentile? With all these percentages being used, you can use the z-scores and the normal curve to calculate the percentage of data that falls BELOW or ABOVE that data point. You will be using the calculator to help you with this. Calculator Steps: 3492535560Below the data point: 2nd Vars Hit 2: normalcdf( -99, value of z – score)Multiply by 100 00Below the data point: 2nd Vars Hit 2: normalcdf( -99, value of z – score)Multiply by 100 316801535560Above the data point2nd Vars Hit 2: normalcdf( Value of z – score, 99)Multiply by 100 00Above the data point2nd Vars Hit 2: normalcdf( Value of z – score, 99)Multiply by 100 Suppose we look at the scores for one component of the SAT if 45000 students took the exam with a mean of 528 and a standard deviation of 87.1) What percentile is a student in who received:3590925104775b) a 380 on the SAT? 00b) a 380 on the SAT? 46990104775a) a 700 on the SAT? 00a) a 700 on the SAT? 2) What percent of students scored between a 480 and 760?26809709027160003) What percent of students scored better than a 675?Finding data that corresponds with the percentile-37125135255Calculator Steps 00Calculator Steps 4) What score does a student have who is in thea) 68th percentile? b) 90th percentile? The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The company makes 10,000 tires a month. What is the probability that if a radial tire is purchased at random, it will last between 20,000 and 35,000 miles? ................
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