6B-A group of wine enthusiasts taste-tested a pinot noir wine from Oregon. The evaluation was to grade the wine on a 0-to-100-point scale. The results follow. a) a) Construct a stem and-leaf diagram for these data and comment on any important features that you notice. State the formulae that is used to calculate the sample mean, the sample standard deviation, and the sample median. (No Calculation needed) 94 90 89 91 90 93 88 95 85 91 92 91 87 90 91 91 88 89 85 89 88 86 92 92 87 84 85 91 89 95 90 90 90 90 92 83

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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6B-A group of wine enthusiasts taste-tested a pinot noir
wine from Oregon. The evaluation was to grade the wine
on a 0-to-100-point scale. The results follow.
a)
a)
Construct a stem and-leaf diagram for these data
and comment on any important
features that you notice.
State the formulae that is used to calculate the
sample mean, the sample standard deviation, and
the sample median. (No Calculation needed)
94 90
92
89
91
91
90
90
93
87
90
89
86
89
90
88
195 91 88 89
92 87 89
95 92
85
91 85 89 88 84 85 90 90 83
91
91 92
Transcribed Image Text:6B-A group of wine enthusiasts taste-tested a pinot noir wine from Oregon. The evaluation was to grade the wine on a 0-to-100-point scale. The results follow. a) a) Construct a stem and-leaf diagram for these data and comment on any important features that you notice. State the formulae that is used to calculate the sample mean, the sample standard deviation, and the sample median. (No Calculation needed) 94 90 92 89 91 91 90 90 93 87 90 89 86 89 90 88 195 91 88 89 92 87 89 95 92 85 91 85 89 88 84 85 90 90 83 91 91 92
Cumulative Standard Normal Distribution
$(z)= [
2.0
2.1
ساس
1
√2π
3.6
3.7
3.8
3.9
du
Z
0.00
0.01
0.02
0.03
0.04
0.51595
0.55567
0.2
0.3
0.4
0.5
0.79389
0.79673
1.1
1.2
1.3
1.7
0.95543
1.8
0.96407
0.96485
0.0 0.50000 0.50399 0.50798 0.51197
0.1 0.53983 0.54379 0.54776 0.55172
0.57926 0.58317 0.58706 0.59095 0.59483
0.61791 0.62172 0.62551 0.62930 0.63307
0.65542 0.65910 0.62276 0.66640 0.67003
0.69146 0.69497 0.69847 0.70194 0.70540
0.6 0.72575 0.72907 0.73237 0.73565 0.73891
0.7 0.75803 0.76115 0.76424 0.76730 0.77035
0.8 0.78814 0.79103
0.79954
0.9 0.81594 0.81859 0.82121 0.82381 0.82639
1.0 0.84134 0.84375 0.84613 0.84849 0.85083
0.86433 0.86650 0.86864 0.87076 0.87285
0.88493 0.88686 0.88877 0.89065 0.89251
0.90320 0.90490 0.90658 0.90824 0.90988
1.4 0.91924 0.92073 0.92219 0.92364 0.92506
1.5 0.93319 0.93448 0.93574 0.93699 0.93822
1.6
0.94520 0.94630 0.94738 0.94845 0.94950
0.95637 0.95728 0.95818 0.95907
0.96637
0.96562
0.96711
0.97320 0.97381
0.97725 0.97778 0.97831 0.97882 0.97932
0.98214 0.98257 0.98300 0.98341 0.98382
0.98610 0.98645 0.98679 0.98713 0.98745
2.3 0.98928 0.98956 0.98983 0.99010 0.99036
2.4 0.99180 0.99202 0.99224 0.99245 0.99266
0.99413 0.99430
0.99379 0.99396
0.99446
2.5
0.99573 0.99585
0.99560
0.99534 0.99547
2.7 0.99653 0.99664 0.99674 0.99683 0.99693
2.8 0.99744 0.99752 0.99760 0.99767 0.99774
2.9 0.99813 0.99819 0.99825 0.99831 0.99836
3.0 0.99865 0.99869 0.99874 0.99878 0.99882
3.1 0.99903 0.99906 0.99910 0.99913 0.99916
3.2 0.99931 0.99934 0.99936 0.99938 0.99940
3.3 0.99952 0.99953 0.99955 0.99957 0.99958
3.4 0.99966 0.99968
0.99970
0.99969
0.99971
0.99980
0.99977 0.99978 0.99978 0.99979
0.99984 0.99985 0.99985 0.99986 0.99986
0.99989 0.99990
0.97128
0.97193 0.97257
2.2
2.6
3.5
0.99990 0.99990
0.99991
0.99993 0.99993 0.99993 0.99994 0.99994
0.99995 0.99995 0.99996 0.99996 0.99996
0
2
■ APPENDIX II
Cumulative Standard Normal Distribution (continued)
(z)=L
√√2n
du
z
0.05
0.06
Z
0.07
0.08
0.09
0.0 0.51994 0.52392 0.52790 0.53188 0.53586 0.0
0.1 0.55962 0.56356 0.56749 0.57142 0.57534 0.1
0.2 0.59871 0.60257 0.60642
0.61409
0.61026
0.2
0.3
0.64431 0.64803
0.63683
0.65173
0.64058
0.3
0.4 0.67364 0.67724 0.68082 0.68438 0.68793 0.4
0.5 0.70884 0.71226 0.71566 0.71904 0.72240 0.5
0.6 0.74215 0.74537 0.74857 0.75175
0.6
0.75490
0.77337 0.77637
0.7
0.77935 0.78230 0.78523 0.7
0.8
0.80510
0.80234
0.80785
0.81327
0.81057
0.8
0.9
0.83147
0.82894
0.83397
0.83891
0.83646
0.9
1.0
0.86214
1.0 0.85314 0.85543 0.85769 0.85993
1.1
0.87900 0.88100 0.88297
1.1 0.87493
0.87697
1.2
1.2
0.89616
0.89435
0.89796 0.89973 0.90147
1.3
0.91308
0.91149
0.91465
0.91773
0.91621
1.3
1.4 0.92647 0.92785 0.92922
1.4
0.93056 0.93189
1.5 0.93943 0.94062 0.94179 0.94295 0.94408 1.5
1.6 0.95053 0.95154 0.95254 0.95352
1.6
0.95448
0.95994
1.7
0.96080 0.96164
1.7
0.96246 0.96327
1.8
1.8
0.96784 0.96856 0.96926
0.97062
0.96995
1.9
0.97441
0.97615 0.97670
1.9
0.97500 0.97558
2.0 0.97982 0.98030
0.98124
0.98077
0.98169 2.0
2.1 0.98422 0.98461 0.98500 0.98537 0.98574 2.1
2.2 0.98778 0.98809 0.98840 0.98870 0.98899 2.2
2.3 0.99061 0.99086 0.99111 0.99134 0.99158 2.3
2.4 0.99286 0.99305 0.99324 0.99343 0.99361 2.4
2.5 0.99461 0.99477 0.99492 0.99506 0.99520 2.5
2.6 0.99598 0.99609 0.99621 0.99632 0.99643 2.6
2.7 0.99702 0.99711 0.99720 0.99728
2.7
0.99736
2.8
0.99781
0.99795
0.99788
0.99807
0.99801
2.8
2.9 0.99841 0.99846 0.99851 0.99856 0.99861 2.9
3.0 0.99886 0.99889 0.99893 0.99897 0.99900 3.0
3.1 0.99918 0.99921 0.99924 0.99926 0.99929 3.1
3.2 0.99942 0.99944 0.99946 0.99948 0.99950 3.2
3.3 0.99960 0.99961 0.99962 0.99964 0.99965 3.3
3.4 0.99972 0.99973 0.99974 0.99975 0.99976 3.4
3.5 0.99981 0.99981 0.99982 0.99983 0.99983 3.5
3.6 0.99987 0.99987 0.99988 0.99988 0.99989 3.6
3.7 0.99991 0.99992 0.99992 0.99992 0.99992 3.7
3.8 0.99994 0.99994
3.8
0.99995 0.99995 0.99995
3.9 0.99996 0.99996 0.99996 0.99997 0.99997 3.9
Transcribed Image Text:Cumulative Standard Normal Distribution $(z)= [ 2.0 2.1 ساس 1 √2π 3.6 3.7 3.8 3.9 du Z 0.00 0.01 0.02 0.03 0.04 0.51595 0.55567 0.2 0.3 0.4 0.5 0.79389 0.79673 1.1 1.2 1.3 1.7 0.95543 1.8 0.96407 0.96485 0.0 0.50000 0.50399 0.50798 0.51197 0.1 0.53983 0.54379 0.54776 0.55172 0.57926 0.58317 0.58706 0.59095 0.59483 0.61791 0.62172 0.62551 0.62930 0.63307 0.65542 0.65910 0.62276 0.66640 0.67003 0.69146 0.69497 0.69847 0.70194 0.70540 0.6 0.72575 0.72907 0.73237 0.73565 0.73891 0.7 0.75803 0.76115 0.76424 0.76730 0.77035 0.8 0.78814 0.79103 0.79954 0.9 0.81594 0.81859 0.82121 0.82381 0.82639 1.0 0.84134 0.84375 0.84613 0.84849 0.85083 0.86433 0.86650 0.86864 0.87076 0.87285 0.88493 0.88686 0.88877 0.89065 0.89251 0.90320 0.90490 0.90658 0.90824 0.90988 1.4 0.91924 0.92073 0.92219 0.92364 0.92506 1.5 0.93319 0.93448 0.93574 0.93699 0.93822 1.6 0.94520 0.94630 0.94738 0.94845 0.94950 0.95637 0.95728 0.95818 0.95907 0.96637 0.96562 0.96711 0.97320 0.97381 0.97725 0.97778 0.97831 0.97882 0.97932 0.98214 0.98257 0.98300 0.98341 0.98382 0.98610 0.98645 0.98679 0.98713 0.98745 2.3 0.98928 0.98956 0.98983 0.99010 0.99036 2.4 0.99180 0.99202 0.99224 0.99245 0.99266 0.99413 0.99430 0.99379 0.99396 0.99446 2.5 0.99573 0.99585 0.99560 0.99534 0.99547 2.7 0.99653 0.99664 0.99674 0.99683 0.99693 2.8 0.99744 0.99752 0.99760 0.99767 0.99774 2.9 0.99813 0.99819 0.99825 0.99831 0.99836 3.0 0.99865 0.99869 0.99874 0.99878 0.99882 3.1 0.99903 0.99906 0.99910 0.99913 0.99916 3.2 0.99931 0.99934 0.99936 0.99938 0.99940 3.3 0.99952 0.99953 0.99955 0.99957 0.99958 3.4 0.99966 0.99968 0.99970 0.99969 0.99971 0.99980 0.99977 0.99978 0.99978 0.99979 0.99984 0.99985 0.99985 0.99986 0.99986 0.99989 0.99990 0.97128 0.97193 0.97257 2.2 2.6 3.5 0.99990 0.99990 0.99991 0.99993 0.99993 0.99993 0.99994 0.99994 0.99995 0.99995 0.99996 0.99996 0.99996 0 2 ■ APPENDIX II Cumulative Standard Normal Distribution (continued) (z)=L √√2n du z 0.05 0.06 Z 0.07 0.08 0.09 0.0 0.51994 0.52392 0.52790 0.53188 0.53586 0.0 0.1 0.55962 0.56356 0.56749 0.57142 0.57534 0.1 0.2 0.59871 0.60257 0.60642 0.61409 0.61026 0.2 0.3 0.64431 0.64803 0.63683 0.65173 0.64058 0.3 0.4 0.67364 0.67724 0.68082 0.68438 0.68793 0.4 0.5 0.70884 0.71226 0.71566 0.71904 0.72240 0.5 0.6 0.74215 0.74537 0.74857 0.75175 0.6 0.75490 0.77337 0.77637 0.7 0.77935 0.78230 0.78523 0.7 0.8 0.80510 0.80234 0.80785 0.81327 0.81057 0.8 0.9 0.83147 0.82894 0.83397 0.83891 0.83646 0.9 1.0 0.86214 1.0 0.85314 0.85543 0.85769 0.85993 1.1 0.87900 0.88100 0.88297 1.1 0.87493 0.87697 1.2 1.2 0.89616 0.89435 0.89796 0.89973 0.90147 1.3 0.91308 0.91149 0.91465 0.91773 0.91621 1.3 1.4 0.92647 0.92785 0.92922 1.4 0.93056 0.93189 1.5 0.93943 0.94062 0.94179 0.94295 0.94408 1.5 1.6 0.95053 0.95154 0.95254 0.95352 1.6 0.95448 0.95994 1.7 0.96080 0.96164 1.7 0.96246 0.96327 1.8 1.8 0.96784 0.96856 0.96926 0.97062 0.96995 1.9 0.97441 0.97615 0.97670 1.9 0.97500 0.97558 2.0 0.97982 0.98030 0.98124 0.98077 0.98169 2.0 2.1 0.98422 0.98461 0.98500 0.98537 0.98574 2.1 2.2 0.98778 0.98809 0.98840 0.98870 0.98899 2.2 2.3 0.99061 0.99086 0.99111 0.99134 0.99158 2.3 2.4 0.99286 0.99305 0.99324 0.99343 0.99361 2.4 2.5 0.99461 0.99477 0.99492 0.99506 0.99520 2.5 2.6 0.99598 0.99609 0.99621 0.99632 0.99643 2.6 2.7 0.99702 0.99711 0.99720 0.99728 2.7 0.99736 2.8 0.99781 0.99795 0.99788 0.99807 0.99801 2.8 2.9 0.99841 0.99846 0.99851 0.99856 0.99861 2.9 3.0 0.99886 0.99889 0.99893 0.99897 0.99900 3.0 3.1 0.99918 0.99921 0.99924 0.99926 0.99929 3.1 3.2 0.99942 0.99944 0.99946 0.99948 0.99950 3.2 3.3 0.99960 0.99961 0.99962 0.99964 0.99965 3.3 3.4 0.99972 0.99973 0.99974 0.99975 0.99976 3.4 3.5 0.99981 0.99981 0.99982 0.99983 0.99983 3.5 3.6 0.99987 0.99987 0.99988 0.99988 0.99989 3.6 3.7 0.99991 0.99992 0.99992 0.99992 0.99992 3.7 3.8 0.99994 0.99994 3.8 0.99995 0.99995 0.99995 3.9 0.99996 0.99996 0.99996 0.99997 0.99997 3.9
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