Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean u = 113 inches and standard deviation o = 14 inches, Use the O Cumulative Normal Distribution Table to answer the following. (a) Find the 26" percentile of the tree heights. (b) Find the 84 percentile of the tree heights. (c) Find the second quartile of the tree heights. (d) An agricultural scientist wants to study the tallest 1% of the trees to determine whether they have a certain gene that allows them to grow taller. To do this, she needs to study all the trees above a certain height. What height is this? Round the answers to at least two decimal places. Part: 0 / 4 Part 1 of 4 The 26" percentile of the tree heights is inches. Table A.2 0.4 6915 0.5 7257 0.6 7580 0.7 7910 7881 0.8 8186 8159 0.9 8438 8413 1.0 8665 .8643 1.1 8869 8849 1.2 9049 1.3 9032 9207 14 9192 9332 9345 1.5 9463 1.6 9452 1.7 9554 9564 1.8 9641 9649 1.9 9713 9719 2.0 9772 9778 12.1 9821 9826 2.2 9861 9864 2.3 9893 9296 2.4 9918 9920 2.5 9938 9953 2.6 9940 (2.7 9955 9965 2.8 9966 9974 9981 9987 2.9 9075 3.0 9982 3.1 9987 9990 9993 9995 3.2 9991 3.3 3.4 990n 3.5 9997 3,7 or 9998
Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean u = 113 inches and standard deviation o = 14 inches, Use the O Cumulative Normal Distribution Table to answer the following. (a) Find the 26" percentile of the tree heights. (b) Find the 84 percentile of the tree heights. (c) Find the second quartile of the tree heights. (d) An agricultural scientist wants to study the tallest 1% of the trees to determine whether they have a certain gene that allows them to grow taller. To do this, she needs to study all the trees above a certain height. What height is this? Round the answers to at least two decimal places. Part: 0 / 4 Part 1 of 4 The 26" percentile of the tree heights is inches. Table A.2 0.4 6915 0.5 7257 0.6 7580 0.7 7910 7881 0.8 8186 8159 0.9 8438 8413 1.0 8665 .8643 1.1 8869 8849 1.2 9049 1.3 9032 9207 14 9192 9332 9345 1.5 9463 1.6 9452 1.7 9554 9564 1.8 9641 9649 1.9 9713 9719 2.0 9772 9778 12.1 9821 9826 2.2 9861 9864 2.3 9893 9296 2.4 9918 9920 2.5 9938 9953 2.6 9940 (2.7 9955 9965 2.8 9966 9974 9981 9987 2.9 9075 3.0 9982 3.1 9987 9990 9993 9995 3.2 9991 3.3 3.4 990n 3.5 9997 3,7 or 9998
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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Transcribed Image Text:Tree heights: Cherry trees in a certain orchard have heights that are normally distributed with mean u = 113 inches and standard deviation o = 14 inches, Use
the O Cumulative Normal Distribution Table to answer the following.
(a) Find the 26" percentile of the tree heights.
(b) Find the 84 percentile of the tree heights.
(c) Find the second quartile of the tree heights.
(d) An agricultural scientist wants to study the tallest 1% of the trees to determine whether they have a certain gene that allows them to grow taller. To do this,
she needs to study all the trees above a certain height. What height is this?
Round the answers to at least two decimal places.
Part: 0 / 4
Part 1 of 4
The 26" percentile of the tree heights is
inches.
8
Table A.2
6293
6664
7019
7357
7673
7967
8238
0.4
6915
0.5
7291
7257
0.6
7611
7580
7939
0.7
7910
7881
8212
08
8485
8186
8159
8461
8708
8907
0.9
8438
8413
8686
1.0
8665
8643
8888
1.1
8869
9082
9236
1.2
8849
9066
9032
9049
1.3
9207
9222
14
9192
9357
9370
1.5
9332
9345
9452
9463
9474
9484
1.7
9554
9564
9573
9582
1.8
9641
9649
9656
9664
1.9
9713
9772
9719
9726
9732
2.0
9778
9783
9788
2.1
9821
9826
22.2
9861
9830
9834
9864
2.3
9893
9868
9871
124
9896
9898
9918
2.5
9920
9901
9938
9922
2.6
9940
9929
9943
9953
9941
(2.7
9955
9965
9956
2.8
9966
2.9
9974
995
9967
9976
9982
9987
9975
9981 9982
9968
997
998
13.0
3.1
9987 9987
9990
9993
9995
9997
9991
9993
999
9994
999
9998
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