arch report claims that mice with an average life span of 32 months will live to be about 42 months old when 40% of the calories in their diet are replaced by vitamins and protein. Is there any reason to believe that µ<42 if 67 e life of 41 months with a standard deviation of 3.3 months? Use a P-value in your conclusion. ere to view page 1 of the table of critical values of the t-distribution. ere to view page 2 of the table of critical values of the t-distribution. the null and alternative hypotheses. H₁ =42 H₁: #42 Ho: #42 H₁:=42 e test statistic. (Round to two decimal places as needed.) ine the range into which the P-value falls. 75 SP-value <0.01 the appropriate conclusion for this test? OB. H<42 H₁ =42 E. H₁ =42 H₁: <42 OC. H₁: >42 H₁ =42 OF. H₁ =42 H₁: >42 oject Ho and conclude that there is sufficient evidence that mice with an average life span of 32 months will live to be than 42 months old when 40% of the calories in their diet are replaced by vitamins and less greater
arch report claims that mice with an average life span of 32 months will live to be about 42 months old when 40% of the calories in their diet are replaced by vitamins and protein. Is there any reason to believe that µ<42 if 67 e life of 41 months with a standard deviation of 3.3 months? Use a P-value in your conclusion. ere to view page 1 of the table of critical values of the t-distribution. ere to view page 2 of the table of critical values of the t-distribution. the null and alternative hypotheses. H₁ =42 H₁: #42 Ho: #42 H₁:=42 e test statistic. (Round to two decimal places as needed.) ine the range into which the P-value falls. 75 SP-value <0.01 the appropriate conclusion for this test? OB. H<42 H₁ =42 E. H₁ =42 H₁: <42 OC. H₁: >42 H₁ =42 OF. H₁ =42 H₁: >42 oject Ho and conclude that there is sufficient evidence that mice with an average life span of 32 months will live to be than 42 months old when 40% of the calories in their diet are replaced by vitamins and less greater
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
100%
I need help with this please

Transcribed Image Text:Critical Values of the t-Distribution
> >
☑=
Critical Values of the t-Distribution
a
a
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
"
0.40
0.30
0.20
0.15
0.10
0.05
0.025
1
15.894
21.205
31.821
42.433
63.656
127.321
636.578
1
0.325
0.727
1.376
1.963
3.078
6.314
12.706
2
4.849
5.643
6.965
8.073
9.925
14.089
31.600
2
0.289
0.617
1.061
1.386
1.886
2.920
4.303
3
3.482
3.896
4.541
5.047
5.841
7.453
12.924
3
0.277
0.584
0.978
1.250
1.638
2.353
3.182
4
2.999
3.298
3.747
4.088
4.604
5.598
8.610
4
0.271
0,569
0.941
1.190
1.533
2.132
2.776
5
2.757
3.003
3.365
3.634
4.032
4.773
6.869
5
0.267
0.559
0.920
1.156
1.476
2.015
2.571
6
2.612
2.829
3.143
3.372
3.707
4.317
5.959
6
0.265
0.553
0.906
1.134
1.440
1.943
2.447
7
2.517
2.715
2.998
3.203
3.499
4.029
5.408
7
0.263
0.549
0.896
1.119
1.415
1.895
2.365
8
2.449
2.634
2.896
3.085
3.355
3.833
5.041
8
0.262
0.546
0.889
1.108
1.397
1.860
2.306
9
2.398
2.574
2.821
2.998
3.250
3.690
4.781
9
0.261
0.543
0.883
1.100
1.383
1.833
2.262
2.359
2.527
2.764
2.932
3.169
3.581
4.587
10
0.260
0.542
0.879
1.093
1.372
1.812
2.228
2.328
2.491
2.718
2.879
3.106
3.497
4.437
11
0.260
0.540
0.876
1.088
1.363
1.796
2.201
2.303
2.461
2.681
2.836
3.055
3.428
4.318
12
0.259
0.539
0.873
1.083
1.356
1.782
2.179
2.282
2.436
2.650
2.801
3.012
3.372
4.221
13
0.259
0.538
0.870
1.079
1.350
1.771
2.160
2.264
2.415
2.624
2.771
2.977
3.326
4.140
14
0.258
0.537
0.868
1.076
1.345
1.761
2.145
2.249
2.397
2.602
2.746
2.947
3.286
4.073
15
0.258
0.536
0.866
1.074
1.341
1.753
2.131
2.235
2.382
2.583
2.724
2.921
3.252
4.015
16
0.258
0.535
0.865
1.071
1.337
1.746
2.120
2.224
2.368
2.567
2.706
2.898
3.222
3.965
17
0.257
0.534
0.863
1.069
1.333
1.740
2.110
2.214
2.356
2.552
2.689
2.878
3.197
3.922
18
0.257
0.534
0.862
1.067
1.330
1.734
2.101
2.205
2.346
2.539
2.674
2.861
3.174
3.883
19
0.257
0.533
0.861
1.066
1.328
1.729
2.093
2.197
2.336
2.528
2.661
2.845
3.153
3.850
20
0.257
0.533
0.860
1.064
1.325
1.725
2.086
2.189
2.328
2.518
2.649
2.831
3.135
3.819
21
0.257
0.532
0.859
1.063
1.323
1.721
2.080
22
0.256
0.532
0.858
1.061
1.321
1.717
2.074
23
0.256
0.532
0.858
1.060
1.319
1.714
2.069
24
0.256
0.531
0.857
1.059
1.318
1.711
2.064
25
0.256
0.531
0.856
1.058
1.316
1.708
2.060
26
0.256
0.531
0.856
1.058
1.315
1.706
2.056
27
0.256
0.531
0.855
1.057
1.314
1.703
2.052
28
0.256
0.530
0.855
1.056
1.313
1.701
2.048
29
0.256
0.530
0.854
1.055
1.311
1.699
2.045
ت
30
0.256
0.530
0.854
1.055
1.310
1.697
2.042
125%
40
0.255
0.529
0.851
1.050
1.303
1.684
2.021
60
0.254
0.527
0.848
1.045
1.296
1.671
2.000
120
120
0.254
0.526
0.845
1.041
1.289
1.658
1.980
∞
0.253
0.524
0.842
1.036
1.282
1.645
1.960
88 888 888-
2.183
2.320
2.508
2.639
2.819
3.119
3.792
2.177
2.313
2.500
2.629
2.807
3.104
3.768
2.172
2.307
2.492
2.620
2.797
3.091
3.745
2.167
2.301
2.485
2.612
2.787
3.078
3.725
2.162
2.296
2.479
2.605
2.779
3.067
3.707
2.158
2.291
2.473
2.598
2.771
3.057
3.689
2.154
2.286
2.467
2.592
2.763
3.047
3.674
2.150
2.282
2.462
2.586
2.756
3.038
3.660
2.147
2.278
2.457
2.581
2.750
3.030
3.646
2.123
2.250
2.423
2.542
2.704
2.971
3.551
2.099
2.223
2.390
2.504
2.660
2.915
3.460
2.076
2.196
2.358
2.468
2.617
2.860
3.373
2.054
2.170
2.326
2.432
2.576
2.807
3.290
0.02
0.015
0.01
0.0075
0.005
0.0025
0.0005
"
0.40
0.30
0.20
0.15
0.10
0.05
0.025
a
Q
a
Ο

Transcribed Image Text:A research report claims that mice with an average life span of 32 months will live to be about 42 months old when 40% of the calories in their diet are replaced by vitamins and protein. Is there any reason to believe that μ<42 if 67 mice that are placed on this diet have an
average life of 41 months with a standard deviation of 3.3 months? Use a P-value in your conclusion.
Click here to view page 1 of the table of critical values of the t-distribution.
Click here to view page 2 of the table of critical values of the t-distribution.
Identify the null and alternative hypotheses.
OA. Ho: H=42
H₁: 42
○ D. Ho: μ#42
H₁ = 42
Find the test statistic.
-2.48 (Round to two decimal places as needed.)
Determine the range into which the P-value falls.
0.0075 ≤ P-value <0.01
What is the appropriate conclusion for this test?
Reject
OB. Ho: H<42
H₁ =42
E. Ho: H=42
Η
μ < 42
○ C. Ho: μ>42
H₁:μ=42
OF. Hoμ=42
H₁: μ>42
Ho and conclude that there is
sufficient evidence that mice with an average life span of 32 months will live to be
than 42 months old when 40% of the calories in their diet are replaced by vitamins and protein.
less
greater
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 3 steps

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