E Click here to view the t-Distribution Area in Right Tail. ) If x= 18.4 ands=4.4, compute the test statistic. E (Round to two decimal places as needed.) ) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? OA. OB. OC. Q :) Approximate the P-value. Choose the correct range for the P-value below. DA. 0.15
E Click here to view the t-Distribution Area in Right Tail. ) If x= 18.4 ands=4.4, compute the test statistic. E (Round to two decimal places as needed.) ) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region? OA. OB. OC. Q :) Approximate the P-value. Choose the correct range for the P-value below. DA. 0.15
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
Concept explainers
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Topic Video
Question
Transcribed Image Text:To test Ho: µ= 20 versus H,: µ< 20, a simple random sample of size n = 17 is obtained from a population that is known to be normally distributed. Answer parts (a)-(d).
Click here to view the t-Distribution Area in Right Tail.
(a) If x = 18.4 and s = 4.4, compute the test statistic.
t=
(Round to two decimal places as needed.)
(b) Draw a t-distribution with the area that represents the P-value shaded. Which of the following graphs shows the correct shaded region?
O A.
Ов.
(c) Approximate the P-value. Choose the correct range for the P-value below.
O A. 0.15 <P-value < 0.20
O B. 0.10 <P-value < 0.15
O C. 0.05 <P-value < 0.10
O D. 0.20 <P-value < 0.25
(d) If the researcher decides to test this hypothesis at the a = 0.05 level of significance, will the researcher reject the null hypothesis?
O A. The researcher will reject the null hypothesis since the P-value is not less than a.
B. The researcher will reject the null hypothesis since the P-value is less than a.
O C. The researcher will not reject the null hypothesis since the P-value is not less than a.
D. The researcher will not reject the null hypothesis since the P-value is less than a.
Transcribed Image Text:1
t-Distribution Area in Right Tail
t-Distribution
Arca in Right Tail
df
0.25
0.20
0.15
0.10
0.05
0.025
0.02
0.01
0.005
0.0025
0.001
0.0005
df
12.706
15.894
63.657
127.321
14.089
7.453
5.598
318.309
22.327
10.215
7.173
5.893
1
1.000
1.376
1.963
3.078
6.314
31.821
636.619
1
6.965
4.541
3.747
9.925
5.841
4.604
0.816
1.061
31.599
1.386
1.250
1.190
1.156
1.886
2.920
2.353
2.132
4.303
4.849
0.765
1.638
1.533
3.482
2.999
2.757
3
0.978
0.941
0.920
3.182
2.776
2.571
12.924
8.610
3
4
0.741
0.727
1.476
2.015
3.365
4.032
4.773
6.869
0.718
0.711
8
3.707
3.499
3.355
3.250
5.208
4.785
4.501
0.906
1.134
1.440
1.943
2.447
5.959
2.612
2.517
2.449
6.
3.143
4.317
0.896
0.889
1.119
1.108
2.365
2.306
1.415
1.397
1.383
1.372
1.895
1.860
2.998
2.896
4.029
3.833
0.706
0.703
0.700
5.408
5.041
4.781
4.587
8
2.262
2.228
2.821
2.764
3.690
3.581
0.883
1.100
1.833
2.398
2.359
4.297
10
0.879
1.093
1.812
3.169
4.144
10
0.697
0.695
0.694
0.692
0.691
0.876
0.873
0.870
0.868
0.866
1.796
1.782
1.771
1.761
1.753
2.201
2.179
2.160
2.145
2.328
2.303
2.282
2.718
2.681
2.650
3.106
3.055
3.012
4.025
3.930
3.852
3.497
4.437
4.318
4.221
11
1.088
1.083
1.079
1.076
1.363
1.356
1.350
1.345
1.341
11
12
13
3.428
3.372
3.326
12
13
2.624
2.602
2.977
2.947
2.264
3.787
3.733
14
4.140
14
15
1.074
2.131
2.249
3.286
4.073
15
0.865
0.863
0.862
0.861
16
17
0.690
0.689
1.071
1.069
1.337
1.333
1.330
1.746
1.740
1.734
1.729
1.725
2.120
2.110
2.101
2.235
2.224
2.214
2.205
2.197
2.583
2.567
2.552
2.539
2.528
2.921
2.898
2.878
2.861
2.845
3.252
3.222
3.686
3.646
3.610
4.015
3.965
3.922
16
17
3.197
3.174
18
0.688
1.067
18
2.093
2.086
3.579
3.552
3.883
3.850
19
0.688
1.066
1.328
19
20
0.687
0.860
1.064
1.325
3.153
20
0.859
0.858
0.858
1.323
1.321
1.319
2.080
2.074
2.069
2.064
2.060
3.135
3.119
3.104
3.091
3.078
21
22
0.686
0.686
0.685
0.685
0.684
3.527
3.505
3.819
3.792
3.768
1.063
1.061
1.721
1.717
1.714
1.711
1.708
2.189
2.183
2.177
2.518
2.508
2.831
2.819
2.807
2.797
2.787
21
22
2.500
2.492
2.485
23
1.060
3.485
3.467
3.450
23
0.857
0.856
1.059
1.058
24
1.318
2.172
3.745
24
25
1.316
2.167
3.725
25
0.856
1.315
2.056
2.479
3.067
3.435
3.421
3.408
26
0.684
1.058
1.706
2.162
2.158
2.779
3.707
26
0.855
0.855
0.854
1.057
1.056
1.703
1.701
1.699
1.607.
2.052
2.048
2.045
2.771
2.763
2.756
2750.
3.057
3.047
3.038
27
0.684
1.314
2.473
3.690
27
0.683
0.683
1.313
1.311
1 210.
2.467
2.462
2457.
28
2.154
2.150
2 147.
3.674
28
3.659
2646.
29
1.055
1.055.
3.396
29
20
0682
2012
2020
2205
20
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.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