Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: u = 51,100; a = 0.05 Sample statistics: x= 51,531, s 2200, n = 18 EIClick the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: H= 51,100 H, u#51,100 O B. Ho: H251,100 H u<51,100 OC. Ho: uS51,100 H p> 51,100 O D. Ho: H#51,100 H u=51,100 What is the value of the standardized test statistic? The standardized test statistic, t is (Round to two decimal places as needed.) What is(are) the critical value(s)? Hint: left-tailed (<), use "One Tail, a" column with a negative sign right-tailed (>), use "One Tail, a column with a positive sign two-tailed (#), use "Two Tails, a" column with a negative and a positive sign. The critical values 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. pare t with the critical values, See formula sheet for more details. O A. Fail to reject Ho. There is enough evidence to reject the claim. O B. Fail to reject Ho. There is not enough evidence to reject the claim. O C. Reject Ho. There is enough evidence to reject the claim. O D. Reject Ho. There is not enough evidence to reject the claim.
Use a t-test to test the claim about the population mean u at the given level of significance a using the given sample statistics. Assume the population is normally distributed. Claim: u = 51,100; a = 0.05 Sample statistics: x= 51,531, s 2200, n = 18 EIClick the icon to view the t-distribution table. What are the null and alternative hypotheses? Choose the correct answer below. O A. Ho: H= 51,100 H, u#51,100 O B. Ho: H251,100 H u<51,100 OC. Ho: uS51,100 H p> 51,100 O D. Ho: H#51,100 H u=51,100 What is the value of the standardized test statistic? The standardized test statistic, t is (Round to two decimal places as needed.) What is(are) the critical value(s)? Hint: left-tailed (<), use "One Tail, a" column with a negative sign right-tailed (>), use "One Tail, a column with a positive sign two-tailed (#), use "Two Tails, a" column with a negative and a positive sign. The critical values 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. pare t with the critical values, See formula sheet for more details. O A. Fail to reject Ho. There is enough evidence to reject the claim. O B. Fail to reject Ho. There is not enough evidence to reject the claim. O C. Reject Ho. There is enough evidence to reject the claim. O D. Reject Ho. There is not enough evidence to reject the claim.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Transcribed Image Text:Use a t-test to test the claim about the population mean u at the given level of significance oa using the given sample statistics. Assume the population is normally distributed.
Claim: u =51,100; a = 0.05 Sample statistics: x = 51,531, s = 2200, n = 18
|Click the icon to view the t-distribution table.
What are the null and alternative hypotheses? Choose the correct answer below.
O A. Ho: H= 51,100
H: H#51,100
O B. Ho: H251,100
Hiu<51,100
OC. Ho: Hs51,100
H:> 51,100
O D. Ho: H#51,100
Hi H = 51,100
What is the value of the standardized test statistic?
The standardized test statistic, t is
(Round to two decimal places as needed.)
What is(are) the critical value(s)?
Hint:
left-tailed (<) , use "One Tail, a" column with a negative sign
right-tailed (>), use "One Tail, a" column with a positive sign
two-tailed (#), use "Two Tails, a" column with a negative and a positive sign.
The critical values 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. Compare t with the critical values. See formula sheet for more details.
O A. Fail to reject Ho. There is enough evidence to reject the claim.
O B. Fail to reject Ho. There is not enough evidence to reject the claim.
O C. Reject Ho. There is enough evidence to reject the claim.
O D. Reject Ho. There is not enough evidence to reject the claim.
Transcribed Image Text:t-Distribution Table
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
d.f.
0.20
0.10
0.05
0.02
d.f.
0.01
63.657
1
3.078
6.314
12.706
31.821
1.886
2.920
4.303
6.965
9.925
1.638
2.353
3.182
4.541
5.841
4
1.533
2.132
2.776
3.747
4.604
1.476
2.015
1.943
2.571
3.365
4.032
9.
1.440
2.447
3.143
3.707
7
1.415
1.895
2.365
2.998
3.499
7
1.397
1.860
2.306
2.896
3.355
8.
6.
1.383
1.833
2.262
2.821
3.250
10
1.372
1.812
2.228
2.764
3.169
10
11
1.363
1.796
2.201
2.718
3.106
11
12
1.356
1.782
2.179
2.681
3.055
12
13
1.350
1.771
2.160
2.650
3.012
13
14
1.345
1.761
2.145
2.624
2.977
14
2.602
1.341
1337
15
1.753
2.131
2.947
15
16
1.746
2.120
2.583
2.921
16
2.898
2.878
17
1.333
1,740
2.110
2.567
17
18
1.330
1.734
2.101
2.552
18
19
1.328
1.729
2.093
2.539
2.861
19
20
1.325
1.725
2.086
2.528
2.845
20
21
1.323
1.721
2.080
2.518
2.831
21
2.819
2.807
22
1.321
1.717
2.074
2.508
22
23
1.319
1.714
2.069
2.500
23
24
1.318
1.711
2.064
2.492
2.797
24
25
1.316
1.708
2.060
2.485
2.787
25
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