4G ll s8:56 AMPS4_STAT2.do... 0STAT 2Applied StatisticsProblem Set 4 (Due on August 13, 2021)Solve for the following. Show your solutions.1. Find the z-score for the following means taken from a population with mean 10 andstandard deviation 2:a. X= 8, n = 12b. X= 8, n = 30c. X= 20, n = 4d. X= 20, n = 162. For a population with a mean of 100 and standard deviation of 16, what is the probabilitythat a random sample of size 4 will have a mean between 106 and 126?... STAT 2Applied StatisticsProblem Set 3 (Due on August 13, 2021)Solve for the following. Show your solutions.1. Calculate z-scores for the following raw scores taken from a population with a mean of100 and standard deviation of 16:112, 109, 56, 88, 135, 992. Calculate the raw score for the following z-scores from a distribution with a mean of 15and standard deviation of 3:a. 4.0b. 2.2C. -1.3d. 0.463. The heights of men in the Philippines are normally distributed with a mean of 69.1 inchesand a standard deviation of 2.9 inches. What proportion of men are taller than 6 feet (72inches)?4. What proportion of the area under the normal curve is greater than z = 1.65?5. Find the area between z = 1.32 and z = 2.54

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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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A variable is normally distributed with mean 32 and standard deviation 12. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 16.4. b) Find the area under the normal curve to the left of the data value 52.4. c) Find the area under the normal curve to the right of the data value 27.2. d) Find the area under the normal curve to the right of the date value 37.4, e) Find the area under the normal curve between the data values 37.4 and 52.4.
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This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.
7. Calculate -scores for the following raw scores taken from a population with a mean of 100 and standard deviation of 16: 112, 109, 56, 88, 135, 99 Answer: 2 = 0.75, 0.56, -2.75, -0.75, 2.19, -0.06 show work for these please
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A variable is normally distributed with mean 39 and standard deviation 13. Use the Cumulative Z-Score Table to answer the following questions. Write your answers in decimal form using 4 decimal places. a) Find the area under the normal curve to the left of the data value 62.4. b) Find the area under the normal curve to the left of the data value 66,3. c) Find the area under the normal curve to the right of the data. value 51.35. d) Find the area under the normal curve to the right of the date value 43.55. e) Find the area under the normal curve between the data values 43.55 and 66.3.

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1. Find the z-score for the following means taken from a population with mean 10 and standard deviation 2: a. X= 8, n = 12 b. X= 8, n = 30 c. X= 20, n = 4