#18-21 . please show work

Determine if the outcome is unusual. Consider as unusual any result that differs from the mean by more than 2 standard deviations. That is, unusual values are either less than u - 20 or greater than u + 20. 18) According to AccuData Media Research, 36% of televisions within the Chicago city limits Nut are tuned to "Eyewitness News" at 5:00 pm on Sunday nights. At 5:00 pm on a given 18 ) Sunday, 2500 such televisions are randomly selected and checked to determine what is being watched. Would it be unusual to find that 912 of the 2500 televisions are tuned to "Eyewitness News " ? M=np = 2500, Co . 36 ) = 900 72 = npq = 2560 (0. 36)0 - X M - 20 19) The incomes of trainees at a local mill are normally distributed with a mean of $1114 and a 19) 7.92 standard deviation of $150. What percentage of trainees earn less than $983 a month? 1/14 / 150 X Solve the problem. 20) A math teacher gives two different tests to measure students' aptitude for math. Scores on 20) the first test are normally distributed with a mean of 24 and a standard deviation of 4.6. Scores on the second test are normally distributed with a mean of 68 and a standard deviation of 11.4. Assume that the two tests use different scales to measure the same aptitude. If a student scores 27 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.) X men 27 SO= 7.4 21) Assume that women's heights are normally distributed with a mean of 63.6 inches and a 21) standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches. X