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c) Find the z-scores corresponding to 66 inches (5 ½ feet) and 72 inches (6 feet).

c) Find the z-scores corresponding to 66 inches (5 ½ feet) and 72 inches (6 feet).

MATLAB: An Introduction with Applications
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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21. Consider the normal distribution that describes the heights of adult American men. The mean is u = 70 inches and the standard deviation is o = 4 inches. a) Find the z-score corresponding to a 77 inch man (that's 6'5"). b) Use the following portion of the chart to answer this: "what percent of men are over 77 inches tall?" .00 01 .02 03 .04 .05 .06 .07 .08 .09 9394 9429 9535 .9625 .9699 1.5 .9332 9345 9463 9357 9474 9370 9382 9495 9406 9418 .9525 9616 .9693 9441 1.6 9515 .9452 .9554 .9641 .9484 9505 9545 1.7 1.8 .9564 .9649 9573 .9656 9582 .9664 9591 9671 9599 9678 9608 .9633 9706 .9686 c) Find the z-scores corresponding to 66 inches (5 ½ feet) and 72 inches (6 feet). d) Use this portion of the chart to answer this: “what percent of men are between 5 ½ and 6 feet tall?" .00 .01 02 .03 .04 .05 .06 .07 .08 .09 -1.1 .1357 .1335 .1314 .1271 1251 .1210 1190 .1170 .1292 .1515 1762 .1230 -1.0 -0.9 .1587 .1841 .1562 .1814 .1539 1788 .1492 .1736 .1469 1711 .1446 .1685 .1423 .1660 .1401 .1635 1379 .1611 0.5 0.6 .6915 .7257 .7580 .6950 .7291 7611 .6985 .7324 .7642 .7019 .7357 .7673 .7054 .7389 .7704 .7088 7422 .7123 .7454 7764 .7157 7486 .7190 .7517 7224 7549 .7852 0.7 .7734 7794 .7823 e) On the graphs below, shade in the areas that correspond to the previous two questions. Indicate the answer to part (b) on the left graph and the answer to (d) on the right graph. 58 62 66 70 74 78 82 58 62 66 70 74 78 82
Transcribed Image Text:21. Consider the normal distribution that describes the heights of adult American men. The mean is u = 70 inches and the standard deviation is o = 4 inches. a) Find the z-score corresponding to a 77 inch man (that's 6'5"). b) Use the following portion of the chart to answer this: "what percent of men are over 77 inches tall?" .00 01 .02 03 .04 .05 .06 .07 .08 .09 9394 9429 9535 .9625 .9699 1.5 .9332 9345 9463 9357 9474 9370 9382 9495 9406 9418 .9525 9616 .9693 9441 1.6 9515 .9452 .9554 .9641 .9484 9505 9545 1.7 1.8 .9564 .9649 9573 .9656 9582 .9664 9591 9671 9599 9678 9608 .9633 9706 .9686 c) Find the z-scores corresponding to 66 inches (5 ½ feet) and 72 inches (6 feet). d) Use this portion of the chart to answer this: “what percent of men are between 5 ½ and 6 feet tall?" .00 .01 02 .03 .04 .05 .06 .07 .08 .09 -1.1 .1357 .1335 .1314 .1271 1251 .1210 1190 .1170 .1292 .1515 1762 .1230 -1.0 -0.9 .1587 .1841 .1562 .1814 .1539 1788 .1492 .1736 .1469 1711 .1446 .1685 .1423 .1660 .1401 .1635 1379 .1611 0.5 0.6 .6915 .7257 .7580 .6950 .7291 7611 .6985 .7324 .7642 .7019 .7357 .7673 .7054 .7389 .7704 .7088 7422 .7123 .7454 7764 .7157 7486 .7190 .7517 7224 7549 .7852 0.7 .7734 7794 .7823 e) On the graphs below, shade in the areas that correspond to the previous two questions. Indicate the answer to part (b) on the left graph and the answer to (d) on the right graph. 58 62 66 70 74 78 82 58 62 66 70 74 78 82
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