A store wants to determine whether product location has an effect on the sales of a toy. A random sample of 18 stores is selected, with six stores randomly assigned to each of three aisle locations. The sales volume at the end of a trial period is shown in the accompanying table. At the 0.01 level of significance, is there evidence of a significant difference between the median sales of the various aisle locations? E Click the icon to view the table of sales data. E Click the icon to view the c Table of sales data Let M,, M, and M, be the media correct answer below. O A. Ho: M, = M2 or M2 = M3 H,: Not all M are equal Aisle Location ($ Thousands) Front Middle Rear OC. Ho: M, = M2 = M3 8.7 3.2 4.5 H;: Not all M, are equal 7.3 2.2 5.9 5.4 1.9 3.9 Find the test statistic. 6.4 1.4 2.9 5.3 1.8 2.1 H= (Round to two decimal p 3.9 1.6 2.9 Find the critical value. (Round to two decimal Is there evidence of a significant Print Done V the null hypothe difference in the median sales of the various aisle locations.

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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Question
A store wants to determine whether product location has an effect on the sales of a toy. A random sample of 18 stores is​ selected, with six stores randomly assigned to each of three aisle locations. The sales volume at the end of a trial period is shown in the accompanying table. At the
0.01
level of​ significance, is there evidence of a significant difference between the median sales of the various aisle​ locations?
LOADING...
Click the icon to view the table of sales data.
LOADING...
Click the icon to view the critical values of
χ2
table.
 
 
 
Let
M1​,
M2
and
M3
be the median sales for aisle locations of​ front, middle and​ rear, respectively. Determine the hypotheses. Choose the correct answer below.
 
 
A.
H0​:
M1=M2
or
M2=M3
H1​:
Not all
Mj
are equal
​(j=​1,
​2, 3)
 
B.
H0​:
Not all
Mj
are equal
​(j=​1,
​2, 3)
H1​:
M1=M2=M3
 
C.
H0​:
M1=M2=M3
H1​:
Not all
Mj
are equal
​(j=​1,
​2, 3)
 
D.
H0​:
M1=M2=M3
H1​:
M1≠M2
or
M2≠M3
Find the test statistic.
 
H=enter your response here
​(Round to two decimal places as​ needed.)
Find the critical value.
 
χ2U=enter your response here
​(Round to two decimal places as​ needed.)
Is there evidence of a significant difference in the median sales of the various aisle locations at
α=0.01​?
 
 
 
the null hypothesis. There is
 
insufficient
sufficient
evidence at the
0.01
level of significance to conclude that there is a significant difference in the median sales of the various aisle locations.
A store wants to determine whether product location has an effect on the sales of a toy. A random sample of 18 stores is selected, with six stores randomly assigned to
each of three aisle locations. The sales volume at the end of a trial period is shown in the accompanying table. At the 0.01 level of significance, is there evidence of a
significant difference between the median sales of the various aisle locations?
E Click the icon to view the table of sales data.
E
Click the icon to view the cf
Table of sales data
Let M,, M, and M, be the media
correct answer below.
O A. Ho: M, = M2 or M2 = M3
H,: Not all M, are equal
Aisle Location ($ Thousands)
Front
Middle
Rear
OC. Ho: M, = M2 = M3
8.7
3.2
4.5
H,: Not all M, are equal
7.3
2.2
5.9
5.4
1.9
3.9
Find the test statistic.
6.4
1.4
2.9
5.3
1.8
2.1
H=|
(Round to two decimal p
3.9
1.6
2.9
Find the critical value.
X = (Round to two decimal
Is there evidence of a significant
Print
Done
the null hypothe
of the various aisle locations.
difference in the median sales
Transcribed Image Text:A store wants to determine whether product location has an effect on the sales of a toy. A random sample of 18 stores is selected, with six stores randomly assigned to each of three aisle locations. The sales volume at the end of a trial period is shown in the accompanying table. At the 0.01 level of significance, is there evidence of a significant difference between the median sales of the various aisle locations? E Click the icon to view the table of sales data. E Click the icon to view the cf Table of sales data Let M,, M, and M, be the media correct answer below. O A. Ho: M, = M2 or M2 = M3 H,: Not all M, are equal Aisle Location ($ Thousands) Front Middle Rear OC. Ho: M, = M2 = M3 8.7 3.2 4.5 H,: Not all M, are equal 7.3 2.2 5.9 5.4 1.9 3.9 Find the test statistic. 6.4 1.4 2.9 5.3 1.8 2.1 H=| (Round to two decimal p 3.9 1.6 2.9 Find the critical value. X = (Round to two decimal Is there evidence of a significant Print Done the null hypothe of the various aisle locations. difference in the median sales
Critical values of x
1-a
For a particular number of degrees of freedom, entry represents the citical value of
corresponding to a specified upper-tall area (a).
Upper-tail areas (a)
Degrees of
freedom
0.995
0.99
0.975
0.95
0.90
0.75
0.25
0.10
0.05
0.025
0.01
0.005
0.001
0.004
0.016
0.102
5.024
1.323
2.773
4.108
1
2.706
3.841
6.635
7.879
0.010
0.020
0.051
0.103
0.211
0.575
4.605
5.991
7.378
9.210
10.597
0.072
0.115
0.216
0.352
0.584
1.213
1.923
2.675
6.251
7.815
9.348
11.143
11.345
12.838
4
0.207
0.297
0.484
0.711
1.064
1.610
5.385
7.779
9.488
13.277
14.860
5
0.412
0.554
0.831
1.145
6.626
9.236
11.071
12.833
15.086
16.750
0.676
0.872
1.237
1.635
2.204
3.455
7.841
14.449
16.812
10.645
12.017
12.592
18.458
7
0.989
1.239
1.690
2.167
2.833
4.255
9.037
14.067
16.013
18.475
20.278
1.344
1.646
2.180
2.733
3.490
5.071
10.219
13.362
15.507
17.535
20.090
21.666
21.955
1.735
2.088
2.700
3.325
4.168
5.899
11.389
14.684
15.987
16.919
19.023
23.589
10
2.156
2.558
3.247
3.940
4.865
6.737
12.549
18.307
20.483
23.209
25.188
11
2.603
3.053
19.675
3.816
4.404
4.575
5.226
5.578
6.304
7.584
13.701
17.275
18.549
21.920
12
13
24.725 26.757
28.299
29.819
3.074
3.571
4.107
8.438
9.299
10.165
14.845
21.026
23.337
26.217
3.565
5.009
5.892
7.042
15.984
19.812
22.362
24.736
27.688
17.117
21.064
22.307
14
4.075
4.660
5.629
6.571
7.790
23.685
26.119
29.141
31.319
15
4.601
5.229
6.262
7.261
8.547
11.037
18.245
24.996
27.488
30.578
32.801
16
5.142
5.812
6.908
7.962
9.312
11.912
19.369
23.542
28.845
32.000
34.267
26.296
27.587
17
5.697
6.408
7.564
8.672
10.085
12.792
20.489
24.769
30.191
33.409
35.718
18
6.265
7.015
21.605
8.231
8.907
9.390
10.865
13.675
25.989
28.869
30.144
31.526
34.805
36.191
37.156
7.633
8.260
19
6.844
10.117
11.651
14.562
22.718
27.204
32.852
38.582
20
7.434
9.591
10.851
12.443
15.452
23.828
28.412
31.410
34.170
37.566
39.997
21
8.034
8.643
8.897
10.283
11.591
13.240
16.344
24.935
29.615
32.671
35.479
38.932
41.401
22
9.542
10.982
12.338
14.042
17.240
26.039
30.813
33.924
36.781
40.289
42.796
14.848
15.659
16.473
23
13.091
9.260
9.886
10.196
11.689
18.137
27.141
32.007
35.172
36.415
38.076
39.364
41.638
42.980
44.181
24
10.856
12.401
13.848
19.037
28.241
33.196
45.559
25
10.520
11.524
13.120
14.611
19.939
29.339
34.382
37.652
40.646
44.314 46.928
26
27
28
11.160
11.808
12.461
12.198
12.879
41.923
43.194
44.461
13.844
15.379
14.573 16.151
15.308
17.292
18.114
18.939
19.768
20.843
21.749
22.657
30.435
35.563
31.528 36.741
32.620
38.885
40.113
41.337
45.642 48.290
46.963
49.645
48.278 50.993
49.588
13.565
16.928
37.916
29
30
13.121
13.787
14.257
14.954
16.047
16.791
17.708
23.567
24.478
33.711
34.800
39.087
40.256
42.557
43.773
45.722
52.336
53.672
18.493
20.599
46.979
50.892
Degrees of
0.995
0.99
0.975
0.95
0.90
0.75
0.25
0.10
0.05
0.025
0.01
0.005
freedom
Upper-tail areas (a)
Transcribed Image Text:Critical values of x 1-a For a particular number of degrees of freedom, entry represents the citical value of corresponding to a specified upper-tall area (a). Upper-tail areas (a) Degrees of freedom 0.995 0.99 0.975 0.95 0.90 0.75 0.25 0.10 0.05 0.025 0.01 0.005 0.001 0.004 0.016 0.102 5.024 1.323 2.773 4.108 1 2.706 3.841 6.635 7.879 0.010 0.020 0.051 0.103 0.211 0.575 4.605 5.991 7.378 9.210 10.597 0.072 0.115 0.216 0.352 0.584 1.213 1.923 2.675 6.251 7.815 9.348 11.143 11.345 12.838 4 0.207 0.297 0.484 0.711 1.064 1.610 5.385 7.779 9.488 13.277 14.860 5 0.412 0.554 0.831 1.145 6.626 9.236 11.071 12.833 15.086 16.750 0.676 0.872 1.237 1.635 2.204 3.455 7.841 14.449 16.812 10.645 12.017 12.592 18.458 7 0.989 1.239 1.690 2.167 2.833 4.255 9.037 14.067 16.013 18.475 20.278 1.344 1.646 2.180 2.733 3.490 5.071 10.219 13.362 15.507 17.535 20.090 21.666 21.955 1.735 2.088 2.700 3.325 4.168 5.899 11.389 14.684 15.987 16.919 19.023 23.589 10 2.156 2.558 3.247 3.940 4.865 6.737 12.549 18.307 20.483 23.209 25.188 11 2.603 3.053 19.675 3.816 4.404 4.575 5.226 5.578 6.304 7.584 13.701 17.275 18.549 21.920 12 13 24.725 26.757 28.299 29.819 3.074 3.571 4.107 8.438 9.299 10.165 14.845 21.026 23.337 26.217 3.565 5.009 5.892 7.042 15.984 19.812 22.362 24.736 27.688 17.117 21.064 22.307 14 4.075 4.660 5.629 6.571 7.790 23.685 26.119 29.141 31.319 15 4.601 5.229 6.262 7.261 8.547 11.037 18.245 24.996 27.488 30.578 32.801 16 5.142 5.812 6.908 7.962 9.312 11.912 19.369 23.542 28.845 32.000 34.267 26.296 27.587 17 5.697 6.408 7.564 8.672 10.085 12.792 20.489 24.769 30.191 33.409 35.718 18 6.265 7.015 21.605 8.231 8.907 9.390 10.865 13.675 25.989 28.869 30.144 31.526 34.805 36.191 37.156 7.633 8.260 19 6.844 10.117 11.651 14.562 22.718 27.204 32.852 38.582 20 7.434 9.591 10.851 12.443 15.452 23.828 28.412 31.410 34.170 37.566 39.997 21 8.034 8.643 8.897 10.283 11.591 13.240 16.344 24.935 29.615 32.671 35.479 38.932 41.401 22 9.542 10.982 12.338 14.042 17.240 26.039 30.813 33.924 36.781 40.289 42.796 14.848 15.659 16.473 23 13.091 9.260 9.886 10.196 11.689 18.137 27.141 32.007 35.172 36.415 38.076 39.364 41.638 42.980 44.181 24 10.856 12.401 13.848 19.037 28.241 33.196 45.559 25 10.520 11.524 13.120 14.611 19.939 29.339 34.382 37.652 40.646 44.314 46.928 26 27 28 11.160 11.808 12.461 12.198 12.879 41.923 43.194 44.461 13.844 15.379 14.573 16.151 15.308 17.292 18.114 18.939 19.768 20.843 21.749 22.657 30.435 35.563 31.528 36.741 32.620 38.885 40.113 41.337 45.642 48.290 46.963 49.645 48.278 50.993 49.588 13.565 16.928 37.916 29 30 13.121 13.787 14.257 14.954 16.047 16.791 17.708 23.567 24.478 33.711 34.800 39.087 40.256 42.557 43.773 45.722 52.336 53.672 18.493 20.599 46.979 50.892 Degrees of 0.995 0.99 0.975 0.95 0.90 0.75 0.25 0.10 0.05 0.025 0.01 0.005 freedom Upper-tail areas (a)
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