According to a retail​ organization, holiday shoppers spent an average of $935.58 over the Thanksgiving weekend in 2016. The accompanying data show the amount spent by a random sample of holiday shoppers during the same weekend in 2017. ​$1,029 ​$875 ​$969 ​$838 ​$825 ​$813   ​$962 ​$1,032 ​$990 ​$996 ​$921 ​$664   ​$1,013 ​$1,030 ​$979 ​$878         Complete parts a through c.   Test the hypothesis that shoppers spent less than an average of $935.58 over the Thanksgiving weekend in 2017 using α=0.05.

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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According to a retail​ organization, holiday shoppers spent an average of $935.58 over the Thanksgiving weekend in 2016. The accompanying data show the amount spent by a random sample of holiday shoppers during the same weekend in 2017.

​$1,029

​$875

​$969

​$838

​$825

​$813

 

​$962

​$1,032

​$990

​$996

​$921

​$664

 

​$1,013

​$1,030

​$979

​$878

     

 

Complete parts a through c.

 

  1. Test the hypothesis that shoppers spent less than an average of $935.58 over the Thanksgiving weekend in 2017 using α=0.05.
a. Test the hypothesis that shoppers spent less than an average of $935.58 over the Thanksgiving weokend in 2017 using
a = 0 05.
Determine the null and alternative hypotheses.
Ho H
H,
(Type integers or decimals. Do not round. Do not include the $ symbol in your answers )
Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice.
(Round to three decimal places as needed.)
OA. 4/2=
OB.
OC. -4=
According to a retail organization, holiday shoppers spent an average of $935 58 over the Thanksgiving woekend in 2016. The
accompanying data show the amount spent by a random sample of holiday shoppeis during the same weekend in 2017.
Complete parts a through c.
Cick here to view the shopping data. Click here fo view the t.distribution tatble data.
Calculate the appropriate test statistic.
(Round to two decimal places as needed )
b. Estimate the p-value for this test using the provided distribution table.
Identify the number of tails and the region that contains the p-value Choose the correct answer below.
O A. One tail, between 0 005 and 0.010
OC. Two tails, greater than 0.400
OE One tail, between 0 050 and 0.100
O B. Two tails, less than 0.010
OD. Two tails, between 0.020 and 0.050
OF. Two tails, between 0 010 and 0.020
OH. Two tails, between 0 200 and 0.400
OJ. Two tails, between 0.050 and 0.100
OL Two tails, between 0.100 and 0 200
ON. One tail, between 0.100 and 0 200
OG. One tail, between 0.010 and 0 025
OL One tail, between 0 025 and 0 050
OK. One tail, less than 0.005
M. One tail, greater than 0 200
c. Determine the precise p-value for this test using Excel
The p-value is
(Round to three decimal places as needed)
Transcribed Image Text:a. Test the hypothesis that shoppers spent less than an average of $935.58 over the Thanksgiving weokend in 2017 using a = 0 05. Determine the null and alternative hypotheses. Ho H H, (Type integers or decimals. Do not round. Do not include the $ symbol in your answers ) Determine the appropriate critical value. Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) OA. 4/2= OB. OC. -4= According to a retail organization, holiday shoppers spent an average of $935 58 over the Thanksgiving woekend in 2016. The accompanying data show the amount spent by a random sample of holiday shoppeis during the same weekend in 2017. Complete parts a through c. Cick here to view the shopping data. Click here fo view the t.distribution tatble data. Calculate the appropriate test statistic. (Round to two decimal places as needed ) b. Estimate the p-value for this test using the provided distribution table. Identify the number of tails and the region that contains the p-value Choose the correct answer below. O A. One tail, between 0 005 and 0.010 OC. Two tails, greater than 0.400 OE One tail, between 0 050 and 0.100 O B. Two tails, less than 0.010 OD. Two tails, between 0.020 and 0.050 OF. Two tails, between 0 010 and 0.020 OH. Two tails, between 0 200 and 0.400 OJ. Two tails, between 0.050 and 0.100 OL Two tails, between 0.100 and 0 200 ON. One tail, between 0.100 and 0 200 OG. One tail, between 0.010 and 0 025 OL One tail, between 0 025 and 0 050 OK. One tail, less than 0.005 M. One tail, greater than 0 200 c. Determine the precise p-value for this test using Excel The p-value is (Round to three decimal places as needed)
1 Tail
0.200
0.100
0.050
0.025
0.010
0.005
1 Tail
2 Tail
0.400
0.200
0.100
0.050
0.020
0.010
2 Tail
Conf Lev
0.600
0.800
0.900
0.950
0.980
0.990
Conf Lev
df
df
1
1.376
3.078
6.314
12.706
31.821
63.657
1.061
1.886
2.920
4.303
6.965
9.925
2
0.978
1.638
2.353
3.182
4.541
5.841
3
4
0.941
1.533
2.132
2.776
3.747
4.604
4
0.920
1.476
2.015
2.571
3.365
4.032
5
0.906
1.440
1.943
2.447
3.143
3.707
7
0.896
1.415
1.895
2.365
2.998
3.499
7
0.889
1.397
1.860
2.306
2.896
3.355
0.883
1.383
1.833
2.262
2.821
3.250
10
0.879
1.372
1.812
2.228
2.764
3.169
10
11
0.876
1.363
1.796
2.201
2.718
3.106
11
12
0.873
1.356
1.782
2.179
2.681
3.055
12
13
0.870
1.350
1.771
2.160
2.650
3.012
13
14
0.868
1.345
1.761
2.145
2.624
2.977
14
15
0.866
1.341
1.753
2.131
2.602
2.947
15
16
0.865
1.337
1.746
2.120
2.583
2.921
16
17
0.863
1.333
1.740
2.110
2.567
2.898
17
18
0.862
1.330
1.734
2.101
2.552
2.878
18
19
0.861
1.328
1.729
2.093
2.539
2.861
19
20
0.860
1.325
1.725
2.086
2.528
2.845
20
21
0.859
1.323
1.721
2.080
2.518
2.831
21
22
0.858
1.321
1.717
2.074
2.508
2.819
22
23
0.858
1.319
1.714
2.069
2.500
2.807
23
24
0.857
1.318
1.711
2.064
2.492
2.797
24
25
0.856
1.316
1.708
2.060
2.485
2.787
25
26
0.856
1.315
1.706
2.056
2.479
2.779
26
27
0.855
1.314
1.703
2.052
2.473
2.771
27
28
0.855
1.313
1.701
2.048
2.467
2.763
28
29
0.854
1.311
1.699
2.045
2.462
2.756
29
30
0.854
1.310
1.697
2.042
2.457
2.750
30
df
df
1 Tail
0.200
0.100
0.050
0.025
0.010
0.005
1 Tail
2 Tail
0.400
0.200
0.100
0.050
0.020
0.010
2 Tail
Conf Lev
0.600
0.800
0.900
0.950
0.980
0.990
Conf Lev
Transcribed Image Text:1 Tail 0.200 0.100 0.050 0.025 0.010 0.005 1 Tail 2 Tail 0.400 0.200 0.100 0.050 0.020 0.010 2 Tail Conf Lev 0.600 0.800 0.900 0.950 0.980 0.990 Conf Lev df df 1 1.376 3.078 6.314 12.706 31.821 63.657 1.061 1.886 2.920 4.303 6.965 9.925 2 0.978 1.638 2.353 3.182 4.541 5.841 3 4 0.941 1.533 2.132 2.776 3.747 4.604 4 0.920 1.476 2.015 2.571 3.365 4.032 5 0.906 1.440 1.943 2.447 3.143 3.707 7 0.896 1.415 1.895 2.365 2.998 3.499 7 0.889 1.397 1.860 2.306 2.896 3.355 0.883 1.383 1.833 2.262 2.821 3.250 10 0.879 1.372 1.812 2.228 2.764 3.169 10 11 0.876 1.363 1.796 2.201 2.718 3.106 11 12 0.873 1.356 1.782 2.179 2.681 3.055 12 13 0.870 1.350 1.771 2.160 2.650 3.012 13 14 0.868 1.345 1.761 2.145 2.624 2.977 14 15 0.866 1.341 1.753 2.131 2.602 2.947 15 16 0.865 1.337 1.746 2.120 2.583 2.921 16 17 0.863 1.333 1.740 2.110 2.567 2.898 17 18 0.862 1.330 1.734 2.101 2.552 2.878 18 19 0.861 1.328 1.729 2.093 2.539 2.861 19 20 0.860 1.325 1.725 2.086 2.528 2.845 20 21 0.859 1.323 1.721 2.080 2.518 2.831 21 22 0.858 1.321 1.717 2.074 2.508 2.819 22 23 0.858 1.319 1.714 2.069 2.500 2.807 23 24 0.857 1.318 1.711 2.064 2.492 2.797 24 25 0.856 1.316 1.708 2.060 2.485 2.787 25 26 0.856 1.315 1.706 2.056 2.479 2.779 26 27 0.855 1.314 1.703 2.052 2.473 2.771 27 28 0.855 1.313 1.701 2.048 2.467 2.763 28 29 0.854 1.311 1.699 2.045 2.462 2.756 29 30 0.854 1.310 1.697 2.042 2.457 2.750 30 df df 1 Tail 0.200 0.100 0.050 0.025 0.010 0.005 1 Tail 2 Tail 0.400 0.200 0.100 0.050 0.020 0.010 2 Tail Conf Lev 0.600 0.800 0.900 0.950 0.980 0.990 Conf Lev
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