MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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a normal population has a
A). 0.1587
B).0.7389
C).0.8413
D).1.0000
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- Consider a population of 800 values that are normally distributed with a mean of 80 and standard deviation of 5. What proportion of values are larger than 74? a) 0.0750 b) 0.1151 c) 0.8849 d) 0.9250arrow_forwardScores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 545 and a standard deviation of 112 . If 16 men are randomly selected, find the probability that their mean score is at least 590. a. Define the parameter A. x overbar equals The mean score of 16 randomly selected men B. x overbar equals The score of a randomly selected man b. State the mean of x overbar : nothing c. State the standard deviation of x overbar : nothing (use 2 decimal places) d. Find the z-score: nothing (use 2 decimal places) e. Find the probability: nothing (use 4 decimal places)arrow_forwardA study finds that the carapace length of an adult spider is normally distributed with a mean of 16.22 mm and a standard deviation of 1.88 mm. Let x denote carapace length for the adult spider. m a. Sketch the distribution of the variable x. Choose the correct graph below. OA. OB. Oc. 1 12 16.22 20 22 b. Obtain the standardized version, z, of x. Choose the correct standardized version below. OA. (z-1.88) OB. (x-1.88) 16.22 16.22 Oc. (x- 16.22) OD. (z- 16.22) 1.88 1.88 c. Identify and sketch the distribution of z. Choose the correct graph below. OA. OB. 11 12arrow_forward
- Calculate the standard deviation from the following data: Heights in cm 150 155 160 165 170 175 180 No. of students 15 24 32 33 24 16 6 [Ans.: 8.038 cm]arrow_forwardA variable is normally distributed with mean 17 and standard deviation 8. Use your graphing calculator to find each of the following areas. Write your answers in decimal form. Round to the nearest thousandth as needed. a) Find the area to the left of 16. b) Find the area to the left of 13. c) Find the area to the right of 15. d) Find the area to the right of 19. e) Find the area between 13 and 28.arrow_forwardIQ scores are from a Normal distribution with a mean of 100 and a standard deviation of 15. What IQ scores has a z-score of 1.20? Group of answer choices A.) 106 B.) 95 C.) 118 D.) 82arrow_forward
- Can you answer c,d, and e pleasearrow_forwardThe scores on a mathematics exam have a mean of 70 and a standard deviation of 6. Find the x-value that corresponds to the z-score 5.19. O 64.8 O 121.9 O 18.1 O 101.1arrow_forwardDiastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a standard deviation of 12. What proportion of people has diastolic blood pressures less than 80? A)0.661 B)0.338 C)0.50 D)0.75arrow_forward
- The population mean mu is a measure of A. Central tendency of a sample B. Central tendency of a populationC. Dispersion of a population D. The uncertainty of a population E. None of the abovearrow_forwardThe IQ of a person follows a normal distribution and has a mean of 100 and a standard deviation of 15. What percentage of the people have IQ scores between 70 and 130? A) 95% B) 50% C) 2.5% D) 68%arrow_forwardA normal distribution has mean 62.1 and standard deviation 2.42. Find the data value corresponding to the following value of z. z= -1.33arrow_forward
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