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Statistics– Notes and Examples Name:Section 7-3 Applications for Normal DistributionsDate: Hour: Finding the value of a normal random variable corresponding to a specific percent1. Draw a normal curve, shade the area corresponding to the percent.2. Use table IV or a calculator (invNorm (5, 0, 1))to find the Z-Score that corresponds to the shaded area.3. Obtain the normal valueX =Examples:1. Egg Incubation TimesThe mean of the incubation time of fertilized chicken eggs kept at 100.5F in a still-air incubator is 21 days. Suppose the incubation times are approximately normally distributed with a standard deviation of 1 daySource: University of Illinois Extension.(a) Determine the 17th percentile for incubation times of fertilized chicken eggs.-81915-352425(b) Determine the incubation times that make up the middle 95% of fertilized chicken eggs?-212725-2305052. Medical ResidentsIn a 2003 study, the accreditation Council for Graduate Medical Education found that medical residents’ mean number of hours worked in a week is 81.7. Suppose the number of hours worked per week by medical residents is approximately normally distributed with a standard deviation of 6.9 hours.Source: (a) Determine the 75th percentile for the number of hours worked in a week by medical residents.-81915-181610-2286052705(b) Determine the number of hours worked in a week that makes up the middle 80% of medical residentsHomework: 7-3 Page 392 #29-32 ................
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