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 = M, H;: Not all M, are equal (j= 1, 2, 3) OC. Họ: M, - Mạ - Mg H,: Not all M are equal (j = 1, 2, 3) O B. Ho: Not all M, are equal (j = 1, 2, 3) H,: M, - M2 - M, O D. Ho: M, - M2 -M, H,: M, + M, or M, M, Find the test statistic. H-O (Round to two decimal places as needed.) Find the critical value. xở - (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
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 = M, H;: Not all M, are equal (j= 1, 2, 3) OC. Họ: M, - Mạ - Mg H,: Not all M are equal (j = 1, 2, 3) O B. Ho: Not all M, are equal (j = 1, 2, 3) H,: M, - M2 - M, O D. Ho: M, - M2 -M, H,: M, + M, or M, M, Find the test statistic. H-O (Round to two decimal places as needed.) Find the critical value. xở - (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
Problem 1P
Related questions
Question

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 y 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, = M, or M2 = M3
O B. Hg: Not alI M, are equal (j = 1, 2, 3)
8.7
3.2
4.5
H,: Not all M, are equal (j = 1, 2, 3)
H4: M, = M2 = M3
7.3
2.2
5.9
OC. Ho: M, = M2 = Mg
H,: Not all M, are equal (j = 1, 2, 3)
O D. Ho: M, = M, = M,
H,: M, # M2 or M2 # M3
5.4
1.9
3.9
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
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.
Chi square critical values
freede
freedom
0.995
Let M,, M, and M, be the median sales for aisle locations of front, middle and rear, respectively. Determine the hy
0.99
0.975
0.95
0.90
0.75
0.25
0.10
0.05
0.025
0.01
0.005
0.001
0.051
0.004
0.103
3.841
5.991
0.016
0.102
0.575
1.323
2.773
2.706
4.605
5.024
7.378
6.635
9.210
7.879
10.597
1
2
0.010
0.020
0.211
O A. Ho: M, = M2 or M2 = M3
H,: Not all M, are equal (j = 1, 2, 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
0.412
0.554
0.831
1.145
1.610
2.675
6.626
9.236
11.071
12.833
15.086
16.750
OC. Ho: M, = M2 = M3
0.872
2.204
7.841
12.592
6.
0.676
1.237
1.635
3.455
10.645
14.449
16.812
18.458
7
0.989
1.239
1.690
2.167
2.833
4.255
9.037
12.017
14.067
16.013
18.475
20.278
H,: Not all M, are equal (j = 1, 2, 3)
1.344
1.646
2.180
2.733
3.490
5.071
10.219
13.362
15.507
17.535
20.090
21.955
4.168
4.865
11.389
12.549
23.589
25.188
9
1.735
2.088
2.700
3.325
5.899
6.737
14.684
15.987
16.919
19.023
20.483
21.666
Find the test statistic.
10
2.156
2.558
3.247
3.940
18.307
23.209
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
H=O
(Round to two decimal places as needed.)
3.571
4.107
5.226
5.892
18.549
19.812
21.026
22.362
26.217
27.688
6.304
14.845
15.984
12
3.074
3.565
4.404
5.009
5.629
8.438
23.337
28.299
13
7.042
9.299
24.736
29.819
14
4.075
4.660
6.571
7.790
10.165
17.117
21.064
23.685
26.119
29.141
31.319
Find the critical value.
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
xỉ = (Round to two decimal places as needed.)
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
Is there evidence of a significant difference in the median sales of the various aisle locations at a = 0.01?
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
16.344
17.240
21
8.034
8.897
10.283
11.591
13.240
24.935
29.615
32.671
35.479
38.932
41.401
V the null hypothesis. There is
V evidence at the 0.01 level of significance to conclude tha
22
8.643
9.542
10.982
12.338
14.042
26.039
30.813
33.924
36.781
40.289
42.796
10.196
10.856
23
9.260
11.689
12.401
13.091
14.848
18.137
19.037
27.141
32.007
35.172
38.076
41.638
44.181
24
9.886
13.848
15.659
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
26
11.160
12.198
13.844
20.843
45.642
15.379
16.151
17.292
30.435
35.563
38.885
41.923
48.290
49.645
insufficient
27
11.808
12.879
14.573
18.114
21.749
31.528
36.741
40.113
43.194
46.963
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
sufficient
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
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
Upper-tail areas (a)
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