Just numbers 7 and 8 In Class Practice Assignment-1 Chapters 1 and 2 Let the pop
ID: 3354643 • Letter: J
Question
Just numbers 7 and 8In Class Practice Assignment-1 Chapters 1 and 2 Let the population mean and standard deviation be 20 and S, respectively. Compute the a score for X 1. 15 a. For the same question above, calculate the z score for x b. And for x-20 28 ly. As per 2. Let the population mean and standard deviation be 20 and 5, re chebyshev's theorem what is the probability that X 35 distribution is normal with a standard deviation of 3.5 years, what is the approximate age range in which 95% of the people get their complete cancer screening? 7. The quality control division of airbus industry tests certain part of the aircraft to make sure that it fits the dimensions. In a given month, 600 of those parts are tested. The mean measurement is 2 millimeters with a standard deviation of 0.000025 millimeters. The distribution is normal. Airbus will reject any part that is more than two standard deviations from the mean. Find out approximately how many parts out of the 600 would be rejected 8. Environmentalists gather data on a sample of baby turtles around lowcountry area. They measure the length of, and release 1,000 baby turtles. They find that the standard deviation is 5 centimeters, and the mean is 25 centimeters. They also notice that the shape of the distribution (according to a histogram) is very much skewed to the left (which means that some fish are smaller than most of the others). According to the empirical rule, approximately what percentage of turtles in the lowcountry area are likely to have a length within one standard deviation of the mean?
Explanation / Answer
7) If the distribution is normal
then Probability that it is more than 2 sd from mean = 0.0228*2 = 0.0456
hence
required number = 600 *0.0456
= 27.36
Approx 27
8)
approx 68 % lies within 1 sd of mean
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