The data table below contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant. Complete parts (a) through (d). Click here to view page 1 of the table of critical values of t Click here to view page 2 of the table of critical values of t. 4.14 4.97 5.92 6.51 7.35 7.44 8.61 8.37 9.83 a. At the 0.05 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50? State the null and alternative hypotheses. Hoin = 6.50 H₁: 6.50 (Type integers or decimals. Do not include the $ symbol in your answer.) Identify the critical value(s). The critical value(s) is (are) 2.306, -2.306 (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic is (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
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Page 1 of the table of critical values of t
Q
Degrees of
Freedom
1
2
3
4
5
6
789D HDD 25%28 72820 858225286
10
11
12
13
14
15
16
17
18
19
20
21
23
24
25
27
29
30
31
32
33
34
35
36
37
20
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
0.6837
0.6834
0.6830
0.6828
0.6825
0.6822
0.6820
0.6818
0.6816
0.6814
0.6812
acoin
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
1.3277
1.3253
1.3232
1.3212
1.3195
1.3178
1.3163
1.3150
1.3137
1.3125
1.3114
1.3104
1.3095
1.3086
1.3077
1.3070
1.3062
1.3055
1.3049
12042
0.975
Upper-Tail Areas
0.025
0.95
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
1.7011
1.6991
1.6973
1.6955
1.6939
1.6924
1.6909
1.6896
1.6883
1.6871
I COLO
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
2.0518
2.0484
2.0452
2.0423
2.0395
2.0369
2.0345
2.0322
2.0301
2.0281
2.0262
2.0244
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
2.4727
2.4671
2.4620
2.4573
2.4528
2.4487
2.4448
2.4411
2.4377
2.4345
2.4314
21306
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
2.7707
2.7633
2.7564
2.7500
2.7440
2.7385
2.7333
2.7284
2.7238
2.7195
2.7154
29116
- X
Page 2 of the table of critical values of t
Q
Degrees of
Freedom
49
50
51
52
53
54
55
56
57
58
59
8 TOCIO $6882 FORZA HEARS T
60
61
62
63
64
65
66
67
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
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
0.6775
0.6775
0.6774
0.6774
06774
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
1.2920
1.2918
1.2917
1.2916
1 2015
Cumulative Probabilities
0.95
0.975
Upper-Tail Areas
0.025
2.0096
2.0086
2.0076
2.0066
2.0057
2.0049
2.0040
0.05
1.6766
1.6759
1.6753
1.6747
1.6741
1.6736
1.6730
1.6725
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
1.6636
1.6634
1.6632
1.6630
16678
2.0032
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
1.9893
1.9890
1.9886
1.9883
10870
0.99
0.01
2.4049
2.4033
2.4017
2.4002
2.3988
2.3974
2.3961
2.3948
2.3936
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
2.3727
2.3721
2.3716
2.3710
22705
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
2.6371
2.6364
2.6356
2.6349
2.6242
- X
Transcribed Image Text:Page 1 of the table of critical values of t Q Degrees of Freedom 1 2 3 4 5 6 789D HDD 25%28 72820 858225286 10 11 12 13 14 15 16 17 18 19 20 21 23 24 25 27 29 30 31 32 33 34 35 36 37 20 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 0.6837 0.6834 0.6830 0.6828 0.6825 0.6822 0.6820 0.6818 0.6816 0.6814 0.6812 acoin 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 1.3277 1.3253 1.3232 1.3212 1.3195 1.3178 1.3163 1.3150 1.3137 1.3125 1.3114 1.3104 1.3095 1.3086 1.3077 1.3070 1.3062 1.3055 1.3049 12042 0.975 Upper-Tail Areas 0.025 0.95 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 1.7011 1.6991 1.6973 1.6955 1.6939 1.6924 1.6909 1.6896 1.6883 1.6871 I COLO 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 2.0518 2.0484 2.0452 2.0423 2.0395 2.0369 2.0345 2.0322 2.0301 2.0281 2.0262 2.0244 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 2.4727 2.4671 2.4620 2.4573 2.4528 2.4487 2.4448 2.4411 2.4377 2.4345 2.4314 21306 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 2.7707 2.7633 2.7564 2.7500 2.7440 2.7385 2.7333 2.7284 2.7238 2.7195 2.7154 29116 - X Page 2 of the table of critical values of t Q Degrees of Freedom 49 50 51 52 53 54 55 56 57 58 59 8 TOCIO $6882 FORZA HEARS T 60 61 62 63 64 65 66 67 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 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 0.6775 0.6775 0.6774 0.6774 06774 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 1.2920 1.2918 1.2917 1.2916 1 2015 Cumulative Probabilities 0.95 0.975 Upper-Tail Areas 0.025 2.0096 2.0086 2.0076 2.0066 2.0057 2.0049 2.0040 0.05 1.6766 1.6759 1.6753 1.6747 1.6741 1.6736 1.6730 1.6725 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 1.6636 1.6634 1.6632 1.6630 16678 2.0032 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 1.9893 1.9890 1.9886 1.9883 10870 0.99 0.01 2.4049 2.4033 2.4017 2.4002 2.3988 2.3974 2.3961 2.3948 2.3936 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 2.3727 2.3721 2.3716 2.3710 22705 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 2.6371 2.6364 2.6356 2.6349 2.6242 - X
The data table below contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant. Complete parts (a) through (d).
Click here to view page 1 of the table of critical values of t.
Click here to view page 2 of the table of critical values of t.
4.14 4.97 5.92 6.51 7.35 7.44 8.61 8.37 9.83
O
a. At the 0.05 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50?
State the null and alternative hypotheses.
H₂H = 6.50
H₁:
6.50
(Type integers or decimals. Do not include the $ symbol in your answer.)
Identify the critical value(s)
The critical value(s) is (are) 2.306, -2.306.
(Round to four decimal places as needed. Use a comma to separate answers as needed.)
Determine the test statistic.
The test statistic is
(Round to four decimal places as needed.)
C
Transcribed Image Text:The data table below contains the amounts that a sample of nine customers spent for lunch (in dollars) at a fast-food restaurant. Complete parts (a) through (d). Click here to view page 1 of the table of critical values of t. Click here to view page 2 of the table of critical values of t. 4.14 4.97 5.92 6.51 7.35 7.44 8.61 8.37 9.83 O a. At the 0.05 level of significance, is there evidence that the mean amount spent for lunch is different from $6.50? State the null and alternative hypotheses. H₂H = 6.50 H₁: 6.50 (Type integers or decimals. Do not include the $ symbol in your answer.) Identify the critical value(s) The critical value(s) is (are) 2.306, -2.306. (Round to four decimal places as needed. Use a comma to separate answers as needed.) Determine the test statistic. The test statistic is (Round to four decimal places as needed.) C
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