b. At the 0.10 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 8.89 minutes? What is the p-value for this test? (Round to four decimal places as needed.)
b. At the 0.10 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 8.89 minutes? What is the p-value for this test? (Round to four decimal places as needed.)
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
100%
Answer B
Transcribed Image Text:The waiting time to check out of a supermarket has had a population mean of 8.89 minutes. Recently, in an effort to reduce the waiting time, the supermarket has experimented with a system in which there is a single waiting line with multiple checkout servers. A sample of 60
customers was selected, and their mean waiting time to check out was 7.83 minutes with a sample standard deviation of 4.8 minutes. Complete parts (a) through (d).
Click here to view page 1 of the critical values for the t Distribution
Click here to view page 2 of the critical values for the t Distribution.
a. At the 0.10 level of significance, using the critical value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 8.89 minutes?
What are the null and alternative hypotheses for this test?
OA. Ho: μ≤7.83
H₁:μ> 7.83
O D. Ho: μ27.83
H₁: μ<7.83
OB. Ho: μ≤8.89
H₁: μ>8.89
C
O E. Ho: μ> 8.89
H₁: μ≤8.89
C. Ho: μ ≥8.89
H,:μ <8.89
OF. Ho: μ<7.83
H₁:μ ≥7.83
What is the test statistic for this test?
-1.7106 (Round to four decimal places as needed.)
What is the critical value for this test?
- 1.2961 (Round to four decimal places as needed.)
What is the conclusion for this test?
Since the test statistic is less than the critical value, reject Ho. There is sufficient evidence to conclude that the population mean waiting time to check out is less than 8.89 minutes.
b. At the 0.10 level of significance, using the p-value approach to hypothesis testing, is there evidence that the population mean waiting time to check out is less than 8.89 minutes?
What is the p-value for this test?
(Round to four decimal places as needed.)
Transcribed Image Text:Critical Values for the t Distribution.
Critical Values of t
For a particular number of degrees of freedom, entry represents
the critical value of t corresponding to the cumulative probability
(1 − a) and a specified upper-tail area (a).
Degrees of
Freedom
1
2
3
6
7
9
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
0.75
0.25
1.0000
0.8165
0.7649
0.7407
0.7267
0.7176
0.7111
0.7064
0.7027
0.6998
0.6974
0.6955
0.6938
0.6924
0.6912
0.6901
0.6892
0.6884
0.6876
0.6870
0.6864
0.6858
0.6853
0.6848
0.6844
0.6840
0 (037
0.90
Cumulative Probabilities
0.10
3.0777
1.8856
1.6377
1.5332
1.4759
1.4398
1.4149
1.3968
1.3830
1.3722
1.3634
1.3562
1.3502
1.3450
1.3406
1.3368
1.3334
1.3304
1:3304
1.3277
1.3253
1.3232
1.3212
1.3195
1.3178
1.3163
1.3150
13137
0.95
0.975
Upper-Tail Areas
0.05
6.3138
2.9200
2.3534
2.1318
2.0150
1.9432
1.8946
1.8595
1.8331
1.8125
1.7959
1.7823
1.7709
1.7613
1.7531
1.7459
1.7396
1.7341
1.7291
1.7247
1.7207
1.7171
1.7139
1.7109
1.7081
1.7056
1.7033
0.025
12.7062
4.3027
3.1824
2.7764
2.5706
2.4469
2.3646
2.3060
2.2622
2.2281
2.2010
2.1788
2.1604
2.1448
2.1315
2.1199
2.1098
2.1009
2.0930
2.0860
2.0796
2.0739
2.0687
2.0639
2.0595
2.0555
2.05.10
0.99
0.01
31.8207
6.9646
4.5407
3.7469
3.3649
3.1427
2.9980
2.8965
2.8214
2.7638
2.7181
2.6810
2.6503
2.6245
2.6025
2.5835
2.5669
2.5524
2.5395
2.5280
2.5177
2.5083
2.4999
2.4922
2.4851
2.4786
31737
0
t
α
0.995
0.005
63.6574
9.9248
5.8409
4.6041
4.0322
3.7074
3.4995
3.3554
3.2498
3.1693
3.1058
3.0545
3.0123
2.9768
2.9467
2.9208
2.8982
2.8784
2.8609
2.8453
2.8314
2.8188
2.8073
2.7969
2.7874
2.7787
3.7707
-
X
Critical Values for the t Distribution.
D
Degrees of
Freedom
GÅ TA AHAAS JOOT SC%OR FOOD FØRS
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
0.75
0.25
0.6795
0.6794
0.6793
0.6792
0.6791
0.6791
0.6790
0.6789
0.6788
0.6787
0.6787
0.6786
0.6785
0.6785
0.6784
0.6783
0.6783
0.6782
0.6782
0.6781
0.6781
0.6780
0.6780
0.6779
0.6779
0.6778
0.6778
0.6777
0.6777
0.6776
0.6776
0.6776
0.6775
0.90
0.10
1.2991
1.2987
1.2984
1.2980
1.2977
1.2974
1.2971
1.2969
1.2966
1.2963
1.2961
1.2958
1.2956
1.2954
1.2951
1.2949
1.2947
1.2945
1.2943
1.2941
1.2939
1.2938
1.2936
1.2934
1.2933
1.2931
1.2929
1.2928
1.2926
1.2925
1.2924
1.2922
1.2921
Cumulative Probabilities
0.975
Upper-Tail Areas
0.025
2.0096
2.0086
2.0076
2.0066
2.0057
2.0049
2.0040
0.95
0.05
1.6766
1.6759
1.6753
1.6747
1.6741
1.6736
1.6730
1.6725
16720
1.6720
1.6716
1.6711
1.6706
1.6702
1.6698
1.6694
1.6690
1.6686
1.6683
1.6679
1.6676
1.6672
1.6669
1.6666
1.6663
1.6660
1.6657
1.6654
1.6652
1.6649
1.6646
1.6644
1.6641
1.6639
2.0032
2.0025
2.0025
2.0017
2.0010
2.0003
1.9996
1.9990
1.9983
1.9977
1.9971
1.9966
1.9960
1.9955
1.9949
1.9944
1.9939
1.9935
1.9930
1.9925
1.9921
1.9917
1.9913
1.9908
1.9905
1.9901
1.9897
0.99
0.01
2.4049
2.4033
2.4017
2.4002
2.3988
2.3974
2.3961
2.3948
2.3936
23936
2.3924
2.3912
2.3901
2.3890
2.3880
2.3870
2.3860
2.3851
2.3842
2.3833
2.3824
2.3816
2.3808
2.3800
2.3793
2.3785
2.3778
2.3771
2.3764
2.3758
2.3751
2.3745
2.3739
2.3733
0.995
0.005
2.6800
2.6778
2.6757
2.6737
2.6718
2.6700
2.6682
2.6665
2.6649
2.6633
2.6618
2.6603
2.6589
2.6575
2.6561
2.6549
2.6536
2.6524
2.6512
2.6501
2.6490
2.6479
2.6469
2.6459
2.6449
2.6439
2.6430
2.6421
2.6412
2.6403
2.6395
2.6387
2.6379
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