21. Consider the normal distribution that describes the heights of adult American men. The mean is µ = 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 9332 9452 9554 9641 9357 9474 9573 9656 9382 9495 9591 9671 9394 9505 9599 9678 9418 9525 9616 9693 9429 9535 9625 9699 9441 9545 9633 9706 9370 9484 9406 9515 1.5 1.6 1.7 1.8 9345 9463 9564 9649 9582 9664 9608 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?" 01 02 07 00 .03 04 .05 .06 .08 .09 1292 1515 1762 .1251 .1469 1711 -1.1 .1357 .1335 .1314 .1271 .1230 .1210 .1423 1660 .1190 1170 -1.0 -0.9 .1587 1841 .1562 1814 .1539 1788 .1492 1736 .1446 .1685 1379 1611 .1401 1635 0.5 0.6 .6915 7257 7580 .6950 7291 6985 7324 7642 .7019 7357 7673 7054 7389 7704 7088 7422 7123 7454 .7157 .7486 7794 .7190 7517 7823 .7224 7549 7852 0.7 7611 7734 7764 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.
21. Consider the normal distribution that describes the heights of adult American men. The mean is µ = 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 9332 9452 9554 9641 9357 9474 9573 9656 9382 9495 9591 9671 9394 9505 9599 9678 9418 9525 9616 9693 9429 9535 9625 9699 9441 9545 9633 9706 9370 9484 9406 9515 1.5 1.6 1.7 1.8 9345 9463 9564 9649 9582 9664 9608 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?" 01 02 07 00 .03 04 .05 .06 .08 .09 1292 1515 1762 .1251 .1469 1711 -1.1 .1357 .1335 .1314 .1271 .1230 .1210 .1423 1660 .1190 1170 -1.0 -0.9 .1587 1841 .1562 1814 .1539 1788 .1492 1736 .1446 .1685 1379 1611 .1401 1635 0.5 0.6 .6915 7257 7580 .6950 7291 6985 7324 7642 .7019 7357 7673 7054 7389 7704 7088 7422 7123 7454 .7157 .7486 7794 .7190 7517 7823 .7224 7549 7852 0.7 7611 7734 7764 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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can you help me just on question D and E please thank you
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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