| 5 | Use the five numbers 14, 18, 16, 11, and 11 o to complete parts a) through e) below.The new mean is x= 39 and the new standard deviation iss= 3.08(Round to two decimal places as needed.)c) Subtract 5 from each of the numbers in the original set of data and compute the mean and the standard deviation of this new set of data.The new mean is x= 9 and the new standard deviation is s = 3.08.(Round to two decimal places as needed.)d) What conclusions can you draw about changes in the mean and the standard deviation when the same number is added to or subtracted from each piece of data in a set of data?Drawconclusion about the change in the mean. Choose the correct answer below.O A. If each piece of data is increased, or decreased, by n, then the mean is multiplied, or divided, by n.B. If each piece of data is increased, or decreased, by n, then the mean is increased, or decreased, by n.O C. If each piece of data is increased, or decreased, by n, then the mean is increased by n. That is, adding or subtracting a fixed value to a data set will both increase the mean.O D. The mean remains the same if each piece of data is increased, or decreased, by n.Drawconclusion about the change in the standard deviation. Choose the correct answer below.O A. If each piece of data is increased, or decreased, by n, then the standard deviation is increased by n. That is, adding or subtractingfixed value to a data set will both increase the standard deviation.O B. If each piece of data is increased, or decreased, by n, then the standard deviation is increased, or decreased, by n.O C. If each piece of data is increased, or decreased, by n, then the standard deviation is multiplied, or divided, by n.D. The standard deviation remains the same if each piece of data is increased, or decreased, by n.e) How will the mean and standard deviation of the numbers 6, 7, 8, 9, 10, 11, 12 differ from the mean and standard deviation of 516, 517, 518, 519, 520, 521, 522? Determine the mean and standard deviation of both sets ofnumbers.For the first set of numbers, the mean is x= and the standard deviation is s=.For the second set of numbers, the mean is x= and the standard deviation is s=.(Round to two decimal places as needed.)

Answered: Image /qna-images/answer/323c1ff6-d214-474d-9246-89784278937c.jpgFor first set of numbers: There are total n = 7 observations. The mean can be obtained as, x̅ = (6 + 7 +8 + 9 + 10 + 11 + 12)/7 = 63/7 ≈ 9. Consider the following table for necessary calculations. x (x – x̅) = (x – 9) (x – x̅)2 = (x - 9)2 6 -3 9 7 -2 4 8 -1 1 9 0 0 10 1 1 11 2 4 12 3 9 Total - 28 Thus, for the first set of numbers the mean is x̅ = 9 and the standard deviation is s = 2.16. For second set of numbers: There are total n = 7 observations. The mean can be obtained as, x̅ = (516 + 517 + 518 + 519 + 520 + 521 + 522)/7 = 3633/7 ≈ 519. Consider the following table for necessary calculations. x (x – x̅) = (x – 519) (x – x̅)2 = (x - 519)2 516 -3 9 517 -2 4 518 -1 1 519 0 0 520 1 1 521 2 4 522 3 9 Total - 28 Thus, for the second set of numbers the mean is x̅ = 519 and the standard deviation is s = 2.16. Thus, the mean of the first set of numbers is lesser than that of the second set of numbers. However, both set of numbers has the same standard deviations.

Math

Statistics

e) How will the mean and standard deviation of the numbers 6, 7, 8, 9, 10, 11, 12 differ from the mean and standard deviation of 516, 517, 518, 519, 520, 521, 522? Determine the mean and standard deviation of both sets of numbers. For the first set of numbers, the mean is x= and the standard deviation iss= For the second set of numbers, the mean is x= and the standard deviation is s=. (Round to two decimal places as needed.)

e) How will the mean and standard deviation of the numbers 6, 7, 8, 9, 10, 11, 12 differ from the mean and standard deviation of 516, 517, 518, 519, 520, 521, 522? Determine the mean and standard deviation of both sets of numbers. For the first set of numbers, the mean is x= and the standard deviation iss= For the second set of numbers, the mean is x= and the standard deviation is s=. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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