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.
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
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffcda2731-ebd9-4775-b731-24a6f5547ea5%2F63780dba-dc9c-4bbe-9b71-ec67b63e365b%2Fbk6arqm_processed.png&w=3840&q=75)
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman