Calculate and report the standard error for the sampling distribution for the difference in means b) Calculate and report the exact degrees of freedom for the test statistic that you calculated

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) Calculate and report the standard error for the sampling distribution for the difference in means b) Calculate and report the exact degrees of freedom for the test statistic that you calculated
Level of Significance for One-Tailed Test
.025
.10
.05
.01
.005
.0005
Level of Significance for Two-Tailed Test
df
.20
.10
.05
.02
.01
.001
1
3.078
6.314
12.706
31.821
63.657
636.619
1.886
2.920
4.303
6.965
9.925
31.598
1.638
2.353
3.182
4.541
5.841
12.941
4
1,533
2.132
2.776
3.747
4.604
8.610
1.476
2.015
2.571
3.365
4.032
6.859
6.
1.440
1.943
2.447
3.143
3.707
5.959
1.415
1.895
2.365
2.998
3.499
5.405
8.
1.397
1.860
2.306
2.896
3.355
5.041
6.
1.383
1.833
2.262
2.821
3.250
4.781
10
1.372
1.812
2.228
2.764
3.169
4,587
11
1.363
1.796
2.201
2.718
3.106
4.437
12
1,356
1.782
2.179
2.681
3.055
4.318
13
1.350
1.771
2.160
2.650
3.012
4.221
14
1.345
1.761
2.145
2.624
2.977
4.140
15
1.341
1.753
2.131
2.602
2.947
4.073
16
1.337
1.746
2.120
2,583
2.921
4.015
17
1.333
1.740
2.110
2.567
2.898
3.965
18
1.330
1.734
2.101
2,552
2.878
3.922
19
1.328
1.729
2.093
2,539
2.861
3.883
20
1,325
1.725
2.086
2.528
2.845
3.850
21
1,323
1.721
2.080
2.518
2.831
3.819
22
1.321
1.717
2.074
2.508
2.819
3.792
23
1.319
1.714
2.069
2.500
2.807
3.767
24
1.318
1.711
2.064
2.492
2.797
3.745
25
1.316
1.708
2.060
2.485
2.787
3.725
26
1.315
1.706
2.056
2.479
2.779
3.707
27
1.314
1.703
2.052
2.473
2.771
3.690
28
1.313
1.701
2.048
2.467
2.763
3.674
29
1.311
1.699
2.045
2.462
2.756
3.659
30
1.310
1.697
2.042
2.457
2.750
3.646
40
1.303
1.684
2.021
2.423
2.704
3.551
60
1.296
1.671
2.000
2.390
2.660
3.460
120
1.289
1.658
1.980
2.358
2.617
3.373
1,282
1.645
1.960
2.326
2,576
3.291
Transcribed Image Text:Level of Significance for One-Tailed Test .025 .10 .05 .01 .005 .0005 Level of Significance for Two-Tailed Test df .20 .10 .05 .02 .01 .001 1 3.078 6.314 12.706 31.821 63.657 636.619 1.886 2.920 4.303 6.965 9.925 31.598 1.638 2.353 3.182 4.541 5.841 12.941 4 1,533 2.132 2.776 3.747 4.604 8.610 1.476 2.015 2.571 3.365 4.032 6.859 6. 1.440 1.943 2.447 3.143 3.707 5.959 1.415 1.895 2.365 2.998 3.499 5.405 8. 1.397 1.860 2.306 2.896 3.355 5.041 6. 1.383 1.833 2.262 2.821 3.250 4.781 10 1.372 1.812 2.228 2.764 3.169 4,587 11 1.363 1.796 2.201 2.718 3.106 4.437 12 1,356 1.782 2.179 2.681 3.055 4.318 13 1.350 1.771 2.160 2.650 3.012 4.221 14 1.345 1.761 2.145 2.624 2.977 4.140 15 1.341 1.753 2.131 2.602 2.947 4.073 16 1.337 1.746 2.120 2,583 2.921 4.015 17 1.333 1.740 2.110 2.567 2.898 3.965 18 1.330 1.734 2.101 2,552 2.878 3.922 19 1.328 1.729 2.093 2,539 2.861 3.883 20 1,325 1.725 2.086 2.528 2.845 3.850 21 1,323 1.721 2.080 2.518 2.831 3.819 22 1.321 1.717 2.074 2.508 2.819 3.792 23 1.319 1.714 2.069 2.500 2.807 3.767 24 1.318 1.711 2.064 2.492 2.797 3.745 25 1.316 1.708 2.060 2.485 2.787 3.725 26 1.315 1.706 2.056 2.479 2.779 3.707 27 1.314 1.703 2.052 2.473 2.771 3.690 28 1.313 1.701 2.048 2.467 2.763 3.674 29 1.311 1.699 2.045 2.462 2.756 3.659 30 1.310 1.697 2.042 2.457 2.750 3.646 40 1.303 1.684 2.021 2.423 2.704 3.551 60 1.296 1.671 2.000 2.390 2.660 3.460 120 1.289 1.658 1.980 2.358 2.617 3.373 1,282 1.645 1.960 2.326 2,576 3.291
Scenario: A researcher believes that food
servers in her city who are women earn less
than food servers who are men. She surveys
food servers in her city and finds that among
a random sample of 32 women, the mean
yearly salary was $37,800 with a standard
deviation of $1,000. The mean salary for a
random sample of 41 men was $38,600 with
a standard deviation of $1,300. Conduct a
hypothesis test to assess the researcher's
claim. Let a=.01.
Transcribed Image Text:Scenario: A researcher believes that food servers in her city who are women earn less than food servers who are men. She surveys food servers in her city and finds that among a random sample of 32 women, the mean yearly salary was $37,800 with a standard deviation of $1,000. The mean salary for a random sample of 41 men was $38,600 with a standard deviation of $1,300. Conduct a hypothesis test to assess the researcher's claim. Let a=.01.
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