What are the null and alternative hypotheses? Choose the correct answer below. OA. Ho: 51,700 H₂:μ*51,700 OC. Ho: μs 51,700 H:H>51,700 What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.) What is (are) the critical value(s)? The critical value(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is enough evidence to reject the claim. OB. Reject Ho. There is not enough evidence to reject the claim. OC. Fail to reject Ho. There is not enough evidence to reject the claim. OD. Fail to reject Ho. There is enough evidence to reject the claim.

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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Question
Use a t-test to test the claim about the population mean μ at the given level of significance a using the given sample statistics. Assume the population is normally distributed.
Claim: μ = 51,700; x = 0.05 Sample statistics: x = 52,354, s = 1700, n = 15
FClick the icon to view the t-distribution table.
What are the null and alternative hypotheses? Choose the correct answer below.
O A. Ho: μ=51,700
Ha: μ#51,700
O C. Ho: μ≤51,700
Ha: μ> 51,700
What is the value of the standardized test statistic?
The standardized test statistic is. (Round to two decimal places as needed.)
What is(are) the critical value(s)?
The critical value(s) is(are).
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Decide whether to reject or fail to reject the null hypothesis.
O A. Reject Ho. There is enough evidence to reject the claim.
OB. Reject Ho. There is not enough evidence to reject the claim.
O C. Fail to reject Ho. There is not enough evidence to reject the claim.
O D. Fail to reject Ho. There is enough evidence to reject the claim.
OB. Ho: 51,700
H₂: μ = 51,700
O D. Ho: 251,700
Ha: μ<51,700
t-Distribution Table
Level of
confidence, c
One tail, a
Two tails, a
d.f.
1
4
5
19
7
9
10
10
11
12
12
13
14
15
16
19
17
2
18
19
19
20
20
21
21
22
22
23
23
24
24
25
25
26
26
27
27
20
28
29
30
24
31
33
32
35
33
34
35
36
37
38
39
40
45
45
50
50
50
60
70
70
80
90
100
500
1000
d.f.
Level of
confidence, c
One tail, a
Two tails, a
0.80 0.90 0.95 0.98 0.99
0.10 0.05 0.025 0.01 0.005
0.20 0.10 0.05 0.02 0.01 d.f.
3.078 6.314 12,706 31.821 63.657
** 3.000
COCE oor
1.886 2.920 4.303 6.965 9.925
1:000 4:40
wwwwww
1.638 2.353 3.182 4.541
www
1.533 2.132 2.776
OOOO
3435
330
1.476
www
www
5
6
5.841 3
3:041
3.747 4.604
S
www
2.015 2.571 3.365 4.032
www www
1.440 1.943 2.447 3.143 3.707
1.440
3:140
ww
0
www
2.998 3.499 7
3:433
1,860 2.306 2.896 3.355
2.090
0
3:300
3.250 9
2.021
2,228 2.764
10
3.169
2.220
1415
1.895 2.365
1.397
1:331
2.300
1.383 1.833 2.262 2.821
2.202
1.372
1.812
2.764
3.169
10
3.106
11
1.363 1.796
1.356 1.782
1.350 1.771
2.201 2.718
2.179
2,160
2.681 3.055 12
2.650 3.012 13
1.345 1.761
2.145 2.624 2.977 14
1.341 1.753
www
2.131 2.602
2400
2.947
4:37
1.337 1.746
2,120 2.583
2.921
4:41
16
www 12740 €120 €1900
1.333 1.740 2.110
1:393
2.567 2.898
4.307 4:090
1.330 1.734
4.110
2.101
1:990
1704 2:191
2.552 2.878 18
4:992 2.970 10
1.328 1.729 2,093
2.539 2.861
1940 MA
2.099 2:399
1.325
1.323
2.000
1.725
2.528
2.086
1:723
1.721
1.721 2.080
1.323
1.323
2.080
1.321
1.321
1.717
2.074
1/17
1.714 2.069
19
2:001
2.845
2.526 2.045
20
20
2.831
2.518
21
2.518 2.051 21
22
2.508 2.819 22
2 807 23
2.500
2.500 2.807 25
2797
2787
2.819
1.319
1.319
1.714
2.069
1.318 1711
1./11
2.064
2.064
2.492
2.492
24
24
25
1316
1.316
1.708 2060
1.708
2485
2.485 2.787
2.060
2056
1.315
1.315
1.706
2.056
2479
2.479
2052
2473
2779
2.779
2771
25
26
26
27
1214 1703
1.314
1.703 2.052 2.473 2.771
27
28
1.212
1.313
1701
1.701
2018
2.048 2.467
2015
2467 2763
2.763 28
2.756
S
20
*** ****
1.310
1311 1600
1.311 1.699 2.045 2.462 2.756 29
2012 2.457 3.750
2.457 2.750 30
3455 5744 21
2.040 2.453
5037
2440
2.037 2.449
www
1.697 2.042
1606
1.300
2010
1.309 1.696
1.300 1.404
1.309 1.694
**** *
2.744 31
5.330 33
2.738
[O]
2.733
****
1.308 1.692
www re
1.307 1.691
www
2.035 2.445
** wwww
2.032
4:092 www
1.306 1.690 2.030 2.438
1:500 1:090 www
NA
1.306 1.688 2.028 2.434 2.719
2.441 2.728
ADA
2.724
ever
36
2.434 40
1.305 1.687 2.026
2.431 2.715 37
2.429 2.712 38
39
2422 2.704 40
2.426 2.708
1.303
2413
2600
45
1.304 1.686 2.024
1.304
1.685
2.023
1.684 2.021 2.423
2014
1.301 1.679 2.014 2.412 2.690 45
1.299
2.402
1.676 2.009 2.403 2.678 50
1.206 1.671
1.296 1.671 2.000 2.390 2.660 60
1204 1667 1.004 2.201 7640
1.294
70
1.667 1.994 2.381 2.648 70
4300 1001
1.292 1.664
80
4301
00
1.300
3.300
1.291 1.662
1.000 3374 5.630
1.990 2.374 2.639
*** 3.360 7.622
1.987 2.368 2.632 90
www
2626
1,290 1.660 1.984 2.364 2.626 100
1.303
1.283 1.648 1.965 2.334 2.586 500
1,282 1.646 1,962 2.330 2.581 1000
1.282 1.645 1.960 2.326 2.576
d.f.
0.80 0.90 0.95 0.98 0.99
0.10 0.05 0.025 0.01 0.005
0.20 0.10 0.05 0.02
0.01
Transcribed Image Text:Use a t-test to test the claim about the population mean μ at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: μ = 51,700; x = 0.05 Sample statistics: x = 52,354, s = 1700, n = 15 FClick the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: μ=51,700 Ha: μ#51,700 O C. Ho: μ≤51,700 Ha: μ> 51,700 What is the value of the standardized test statistic? The standardized test statistic is. (Round to two decimal places as needed.) What is(are) the critical value(s)? The critical value(s) is(are). (Round to three decimal places as needed. Use a comma to separate answers as needed.) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho. There is enough evidence to reject the claim. OB. Reject Ho. There is not enough evidence to reject the claim. O C. Fail to reject Ho. There is not enough evidence to reject the claim. O D. Fail to reject Ho. There is enough evidence to reject the claim. OB. Ho: 51,700 H₂: μ = 51,700 O D. Ho: 251,700 Ha: μ<51,700 t-Distribution Table Level of confidence, c One tail, a Two tails, a d.f. 1 4 5 19 7 9 10 10 11 12 12 13 14 15 16 19 17 2 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 20 28 29 30 24 31 33 32 35 33 34 35 36 37 38 39 40 45 45 50 50 50 60 70 70 80 90 100 500 1000 d.f. Level of confidence, c One tail, a Two tails, a 0.80 0.90 0.95 0.98 0.99 0.10 0.05 0.025 0.01 0.005 0.20 0.10 0.05 0.02 0.01 d.f. 3.078 6.314 12,706 31.821 63.657 ** 3.000 COCE oor 1.886 2.920 4.303 6.965 9.925 1:000 4:40 wwwwww 1.638 2.353 3.182 4.541 www 1.533 2.132 2.776 OOOO 3435 330 1.476 www www 5 6 5.841 3 3:041 3.747 4.604 S www 2.015 2.571 3.365 4.032 www www 1.440 1.943 2.447 3.143 3.707 1.440 3:140 ww 0 www 2.998 3.499 7 3:433 1,860 2.306 2.896 3.355 2.090 0 3:300 3.250 9 2.021 2,228 2.764 10 3.169 2.220 1415 1.895 2.365 1.397 1:331 2.300 1.383 1.833 2.262 2.821 2.202 1.372 1.812 2.764 3.169 10 3.106 11 1.363 1.796 1.356 1.782 1.350 1.771 2.201 2.718 2.179 2,160 2.681 3.055 12 2.650 3.012 13 1.345 1.761 2.145 2.624 2.977 14 1.341 1.753 www 2.131 2.602 2400 2.947 4:37 1.337 1.746 2,120 2.583 2.921 4:41 16 www 12740 €120 €1900 1.333 1.740 2.110 1:393 2.567 2.898 4.307 4:090 1.330 1.734 4.110 2.101 1:990 1704 2:191 2.552 2.878 18 4:992 2.970 10 1.328 1.729 2,093 2.539 2.861 1940 MA 2.099 2:399 1.325 1.323 2.000 1.725 2.528 2.086 1:723 1.721 1.721 2.080 1.323 1.323 2.080 1.321 1.321 1.717 2.074 1/17 1.714 2.069 19 2:001 2.845 2.526 2.045 20 20 2.831 2.518 21 2.518 2.051 21 22 2.508 2.819 22 2 807 23 2.500 2.500 2.807 25 2797 2787 2.819 1.319 1.319 1.714 2.069 1.318 1711 1./11 2.064 2.064 2.492 2.492 24 24 25 1316 1.316 1.708 2060 1.708 2485 2.485 2.787 2.060 2056 1.315 1.315 1.706 2.056 2479 2.479 2052 2473 2779 2.779 2771 25 26 26 27 1214 1703 1.314 1.703 2.052 2.473 2.771 27 28 1.212 1.313 1701 1.701 2018 2.048 2.467 2015 2467 2763 2.763 28 2.756 S 20 *** **** 1.310 1311 1600 1.311 1.699 2.045 2.462 2.756 29 2012 2.457 3.750 2.457 2.750 30 3455 5744 21 2.040 2.453 5037 2440 2.037 2.449 www 1.697 2.042 1606 1.300 2010 1.309 1.696 1.300 1.404 1.309 1.694 **** * 2.744 31 5.330 33 2.738 [O] 2.733 **** 1.308 1.692 www re 1.307 1.691 www 2.035 2.445 ** wwww 2.032 4:092 www 1.306 1.690 2.030 2.438 1:500 1:090 www NA 1.306 1.688 2.028 2.434 2.719 2.441 2.728 ADA 2.724 ever 36 2.434 40 1.305 1.687 2.026 2.431 2.715 37 2.429 2.712 38 39 2422 2.704 40 2.426 2.708 1.303 2413 2600 45 1.304 1.686 2.024 1.304 1.685 2.023 1.684 2.021 2.423 2014 1.301 1.679 2.014 2.412 2.690 45 1.299 2.402 1.676 2.009 2.403 2.678 50 1.206 1.671 1.296 1.671 2.000 2.390 2.660 60 1204 1667 1.004 2.201 7640 1.294 70 1.667 1.994 2.381 2.648 70 4300 1001 1.292 1.664 80 4301 00 1.300 3.300 1.291 1.662 1.000 3374 5.630 1.990 2.374 2.639 *** 3.360 7.622 1.987 2.368 2.632 90 www 2626 1,290 1.660 1.984 2.364 2.626 100 1.303 1.283 1.648 1.965 2.334 2.586 500 1,282 1.646 1,962 2.330 2.581 1000 1.282 1.645 1.960 2.326 2.576 d.f. 0.80 0.90 0.95 0.98 0.99 0.10 0.05 0.025 0.01 0.005 0.20 0.10 0.05 0.02 0.01
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