Let M,, M2 and M, be the median sales for aisle locations of front, middle and rear, respectively. Determine the hypotheses. Choose the correct answer below. O A. Ho: M, = M, or M2 = M3 H,: Not all M are equal (j = 1, 2, 3) OC. Ho: M, = M, = M, H,: Not all M are equal (j = 1, 2, 3) O B. Ho: Not alI M, are equal (j = 1, 2, 3) H,: M, = M2 = M, OD. Hg: M, = M2 = M, H4: M, # M, or M2 # Mg Find the test statistic. H= (Round to two decimal places as needed.) Find the critical value. xở -0 (Round to two decimal places as needed.) Is there evidence of a significant difference in the median sales of the various aisle locations at a = 0.01? | the null hypothesis. There is evidence at the 0.01 level of significance to conclude that there is a significant difference in the median sales of Reject Do not reject

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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
 
 
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 samp
shown in the accompanying table. At the 0.01 level of significance, is there evidence of a significant dif
E Click the icon to view the table of sales data.
Chi square critical values
upper-tail areas (a)
E
Click the icon to view the critical values of x? table.
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
1.323
2.773
1
0.001
0.004
0.016
0.102
2.706
3.841
5.024
6.635
7.879
2
0.010
0.020
0.051
0.103
0.211
0.575
4.605
5.991
7.378
9.210
10.597
Let M,, M, and M, be the median sales for aisle locations of front, middle and rear, respectively. Deterr
3
0.072
0.115
0.216
0.352
0.584
1.213
4.108
6.251
7.815
9.348
11.345
12.838
4
0.207
0.297
0.484
0.711
1.064
1.923
5.385
7.779
9.488
11.143
13.277
14.860
5
0.412
0.554
0.831
1.145
1.610
2.675
6.626
9.236
11.071
12.833
15.086
16.750
O A. Ho: M, = M2 or M2 = M3
H,: Not all M, are equal (j = 1, 2, 3)
0.676
0.872
1.237
1.635
2.204
3.455
7.841
10.645
12.592
14.449
16.812
18.458
2.833
3.490
12.017
13.362
18.475
20.090
7
0.989
1.239
1.690
2.167
4.255
9.037
14.067
16.013
20.278
8
1.344
1.646
2.180
2.733
5.071
10.219
15.507
17.535
21.955
OC. Họ: M, = M2 = M3
H,: Not all M, are equal (j = 1, 2, 3)
1.735
2.088
2.700
3.325
4.168
5.899
11.389
14.684
16.919
19.023
21.666
23.589
10
2.156
2.558
3.247
3.940
4.865
6.737
12.549
15.987
18.307
20.483
23.209
25.188
11
2.603
3.053
3.816
4.575
5.578
7.584
13.701
17.275
19.675
21.920
24.725
26.757
12
3.074
3.571
5.226
4.404
5.009
6.304
8.438
14.845
15.984
18.549
19.812
21.026
23.337
26.217
28.299
Find the test statistic.
13
3.565
4.107
5.892
7.042
9.299
22.362
24.736
27.688
29.819
14
4.075
4.660
5.629
6.571
7.790
10.165
17.117
21.064
23.685
26.119
29.141
31.319
H=
(Round to two decimal places as needed.)
15
4.601
5.229
6.262
7.261
8.547
11.037
18.245
22.307
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
26.296
28.845
32.000
34.267
Find the critical value.
17
5.697
6.408
7.564
8.672
10.085
12.792
20.489
24.769
27.587
30.191
33.409
35.718
18
6.265
7.015
8.231
9.390
10.865
13.675
21.605
25.989
28.869
31.526
34.805
37.156
x =
(Round to two decimal places as needed.)
19
6.844
7.633
8.907
10.117
11.651
14.562
22.718
27.204
30.144
32.852
36.191
38.582
20
7.434
8.260
9.591
10.851
12.443
15.452
23.828
28.412
31.410
34.170
37.566
39.997
21
8.034
8.897
10.283
11.591
13.240
16.344
24.935
29.615
32.671
35.479
38.932
41.401
Is there evidence of a significant difference in the median sales of the various aisle locations at a = 0.01
22
8.643
9.542
10.982
12.338
14.042
17.240
26.039
30.813
33.924
36.781
40.289
42.796
23
9.260
10.196
11.689
13.091
13.848
14.848
18.137
27.141
32.007
35.172
38.076
41.638
44.181
V the null hypothesis. There is
V evidence at the 0.01 level of significance to d
24
9.886
10.856
12.401
15.659
19.037
28.241
33.196
36.415 39.364
42.980
45.559
25
10.520
11.524
13.120
14.611
16.473
19.939
29.339
34.382
37.652
40.646
44.314
46.928
38.885
40.113
26
11.160
30.435
12.198
13.844
12.879 14.573
15.379
17.292
20.843
35.563
41.923
45.642
48.290
27
11.808
16.151
18.114
21.749
31.528
36.741
43.194
46.963
49.645
28
12.461
13.565
15.308
16.928
18.939
22.657
32.620
37.916
41.337
44.461
48.278
50.993
29
13.121
14.257
16.047
17.708
19.768
23.567
33.711
39.087
42.557
45.722
49.588
52.336
insufficient
30
13.787
14.954 16.791
18.493
20.599
24.478
34.800
40.256
43.773
46.979
50.892 53.672
0.995
Degrees of
freedom
0.99
0.975
0.95
0.90
0.75
0.25
0.10
0.05
0.025
0.01
0.005
sufficient
Drint
Dene
Transcribed Image Text:A store wants to determine whether product location has an effect on the sales of a toy. A random samp shown in the accompanying table. At the 0.01 level of significance, is there evidence of a significant dif E Click the icon to view the table of sales data. Chi square critical values upper-tail areas (a) E Click the icon to view the critical values of x? table. 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 1.323 2.773 1 0.001 0.004 0.016 0.102 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103 0.211 0.575 4.605 5.991 7.378 9.210 10.597 Let M,, M, and M, be the median sales for aisle locations of front, middle and rear, respectively. Deterr 3 0.072 0.115 0.216 0.352 0.584 1.213 4.108 6.251 7.815 9.348 11.345 12.838 4 0.207 0.297 0.484 0.711 1.064 1.923 5.385 7.779 9.488 11.143 13.277 14.860 5 0.412 0.554 0.831 1.145 1.610 2.675 6.626 9.236 11.071 12.833 15.086 16.750 O A. Ho: M, = M2 or M2 = M3 H,: Not all M, are equal (j = 1, 2, 3) 0.676 0.872 1.237 1.635 2.204 3.455 7.841 10.645 12.592 14.449 16.812 18.458 2.833 3.490 12.017 13.362 18.475 20.090 7 0.989 1.239 1.690 2.167 4.255 9.037 14.067 16.013 20.278 8 1.344 1.646 2.180 2.733 5.071 10.219 15.507 17.535 21.955 OC. Họ: M, = M2 = M3 H,: Not all M, are equal (j = 1, 2, 3) 1.735 2.088 2.700 3.325 4.168 5.899 11.389 14.684 16.919 19.023 21.666 23.589 10 2.156 2.558 3.247 3.940 4.865 6.737 12.549 15.987 18.307 20.483 23.209 25.188 11 2.603 3.053 3.816 4.575 5.578 7.584 13.701 17.275 19.675 21.920 24.725 26.757 12 3.074 3.571 5.226 4.404 5.009 6.304 8.438 14.845 15.984 18.549 19.812 21.026 23.337 26.217 28.299 Find the test statistic. 13 3.565 4.107 5.892 7.042 9.299 22.362 24.736 27.688 29.819 14 4.075 4.660 5.629 6.571 7.790 10.165 17.117 21.064 23.685 26.119 29.141 31.319 H= (Round to two decimal places as needed.) 15 4.601 5.229 6.262 7.261 8.547 11.037 18.245 22.307 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 26.296 28.845 32.000 34.267 Find the critical value. 17 5.697 6.408 7.564 8.672 10.085 12.792 20.489 24.769 27.587 30.191 33.409 35.718 18 6.265 7.015 8.231 9.390 10.865 13.675 21.605 25.989 28.869 31.526 34.805 37.156 x = (Round to two decimal places as needed.) 19 6.844 7.633 8.907 10.117 11.651 14.562 22.718 27.204 30.144 32.852 36.191 38.582 20 7.434 8.260 9.591 10.851 12.443 15.452 23.828 28.412 31.410 34.170 37.566 39.997 21 8.034 8.897 10.283 11.591 13.240 16.344 24.935 29.615 32.671 35.479 38.932 41.401 Is there evidence of a significant difference in the median sales of the various aisle locations at a = 0.01 22 8.643 9.542 10.982 12.338 14.042 17.240 26.039 30.813 33.924 36.781 40.289 42.796 23 9.260 10.196 11.689 13.091 13.848 14.848 18.137 27.141 32.007 35.172 38.076 41.638 44.181 V the null hypothesis. There is V evidence at the 0.01 level of significance to d 24 9.886 10.856 12.401 15.659 19.037 28.241 33.196 36.415 39.364 42.980 45.559 25 10.520 11.524 13.120 14.611 16.473 19.939 29.339 34.382 37.652 40.646 44.314 46.928 38.885 40.113 26 11.160 30.435 12.198 13.844 12.879 14.573 15.379 17.292 20.843 35.563 41.923 45.642 48.290 27 11.808 16.151 18.114 21.749 31.528 36.741 43.194 46.963 49.645 28 12.461 13.565 15.308 16.928 18.939 22.657 32.620 37.916 41.337 44.461 48.278 50.993 29 13.121 14.257 16.047 17.708 19.768 23.567 33.711 39.087 42.557 45.722 49.588 52.336 insufficient 30 13.787 14.954 16.791 18.493 20.599 24.478 34.800 40.256 43.773 46.979 50.892 53.672 0.995 Degrees of freedom 0.99 0.975 0.95 0.90 0.75 0.25 0.10 0.05 0.025 0.01 0.005 sufficient Drint Dene
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 critical values of x table.
Table of sales data
Let M,, M, and M, be the median sales for aisle locations of front, middle and rear, respectively. Determine the hypotheses. Choose the correct answer below.
Aisle Location ($ Thousands)
Front
Middle
Rear
O A. Ho: M, = M2 or M, = M3
H,: Not all M, are equal (j = 1, 2, 3)
O B. Hg: Not all M, are equal (j = 1, 2, 3)
H,: M, = M2 = M3
8.7
3.2
4.5
7.3
2.2
5.9
O D. Ho: M, = M2 = M3
OC. Ho: M, = M2 = M3
H,: Not all M, are equal (j = 1, 2, 3)
5.4
1.9
3.9
H,: M, * M, or M, + M3
6.4
1.4
2.9
5.3
1.8
2.1
Find the test statistic.
3.9
1.6
2.9
H= (Round to two decimal places as needed.)
Find the critical value.
(Round to two decimal places as needed.)
Print
Done
Is there evidence of a significant difference in the median sales of the various aisle locations at a = 0.01?
V the null hypothesis. There is
V 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.
Reject
Do not reject
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 critical values of x table. Table of sales data Let M,, M, and M, be the median sales for aisle locations of front, middle and rear, respectively. Determine the hypotheses. Choose the correct answer below. Aisle Location ($ Thousands) Front Middle Rear O A. Ho: M, = M2 or M, = M3 H,: Not all M, are equal (j = 1, 2, 3) O B. Hg: Not all M, are equal (j = 1, 2, 3) H,: M, = M2 = M3 8.7 3.2 4.5 7.3 2.2 5.9 O D. Ho: M, = M2 = M3 OC. Ho: M, = M2 = M3 H,: Not all M, are equal (j = 1, 2, 3) 5.4 1.9 3.9 H,: M, * M, or M, + M3 6.4 1.4 2.9 5.3 1.8 2.1 Find the test statistic. 3.9 1.6 2.9 H= (Round to two decimal places as needed.) Find the critical value. (Round to two decimal places as needed.) Print Done Is there evidence of a significant difference in the median sales of the various aisle locations at a = 0.01? V the null hypothesis. There is V 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. Reject Do not reject
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