A researcher investigated the relationship between family income and savings. Using data from 15 families, the computed r between income and savings was found to be 0.76. Is the computed r significant at 5% ? Can we conclude that the relationship really exists? ANSWER Но: На: Computed Value: Tabular value: Decision: Summary:
A researcher investigated the relationship between family income and savings. Using data from 15 families, the computed r between income and savings was found to be 0.76. Is the computed r significant at 5% ? Can we conclude that the relationship really exists? ANSWER Но: На: Computed Value: Tabular value: Decision: Summary:
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
Calculate the following questions and use the table for reference.Show the complete solution.
Transcribed Image Text:A researcher investigated the relationship between family income and savings.
Using data from 15 families, the computed r between income and savings was
found to be 0.76. Is the computed r significant at 5% ? Can we conclude that the
relationship really exists?
ANSWER
Но:
На:
Computed Value:
Tabular value:
Decision:
Summary:
Transcribed Image Text:Level of Significance of a One-Tailed or Directional Test
Ho: p 5 0 or H: p 20
a = 0.025
a = 0.1
a = 0.05
a = 0.01
a = 0.005
a = 0.0005
Level of Significance of a Two-Tailed or Nondirectional Test
Ho: p = 0
a = 0.02
df
a = 0.2
a = 0.1
a = 0.05
a = 0.01
a = 0.001
0.9511
0.9877
0.9969
0.9995
0.9999
0.9999
0.8000
0.9000
0.9500
0.9800
0.9900
0.9990
3
0.6870
0.8054
0.8783
0.9343
0.9587
0.9911
4
0.6084
0.7293
0.8114
0.8822
0.9172
0.9741
5
0.5509
0.6694
0.7545
0.8329
0.8745
0.9509
0.5067
0.6215
0.7067
0.7887
0.8343
0.9249
0.4716
0.5822
0.6664
0.7977
0.8983
0.8721
0.7498
8
0.4428
0.5494
0.6319
0.7155
0.7646
0.4187
0.5214
0.6021
0.6851
0.7348
0.8470
10
0.3981
0.4973
0.5760
0.6581
0.7079
0.8233
11
0.3802
0.4762
0.5529
0.6339
0.6835
0.8010
12
0.3646
0.4575
0.5324
0.6120
0.6614
0.7800
0.5140
0.4973
13
0.3507
0.4409
0.5923
0.6411
0.7604
14
0.3383
0.4259
0.5742
0.6226
0.7419
15
0.3271
0.4124
0.4821
0.5577
0.6055
0.7247
16
0.3170
0.4000
0.4683
0.5425
0.5897
0.7084
17
0.3077
0.3887
0.4555
0.5285
0.5751
0.6932
0.5614
0.5487
18
0.2992
0.3783
0.4438
0.5155
0.6788
19
0.2914
0.3687
0.4329
0.5034
0.6652
20
0.2841
0.3598
0.4227
0.4921
0.5368
0.6524
21
0.2774
0.3515
0.4132
0.4815
0.5256
0.6402
22
0.2711
0.3438
0.4044
0.4716
0.5151
0.6287
0.3365
0.3297
0.6178
0.6074
23
0.2653
0.3961
0.4622
0.5052
0.3882
0.3809
24
0.2598
0.4534
0.4958
25
0.2546
0.3233
0.4451
0.4869
0.5974
30
0.2327
0.2960
0.3494
0.4093
0.4487
0.5541
35
0.2156
0.2746
0.3246
0.3810
0.4182
0.5189
40
0.2018
0.2573
0.3044
0.3578
0.3932
0.4896
50
0.1806
0.2306
0.2732
0.3218
0.3542
0.4432
60
0.1650
0.2108
0.2500
0.2948
0.3248
0.4079
0.2737
0.2565
70
0.1528
0.1954
0.2319
0.3017
0.3798
80
0.1430
0.1829
0.2172
0.2830
0.3568
90
0.1348
0.1726
0.2050
0.2422
0.2673
0.3375
100
0.1279
0.1638
0.1946
0.2301
0.2540
0.3211
150
0.1045
0.1339
0.1593
0.1886
0.2084
0.2643
300
0.0740
0.0948
0.1129
0.1338
0.1480
0.1884
500
0.0573
0.0735
0.0875
0.1038
0.1149
0.1464
1000
0.0405
0.0520
0.0619
0.0735
0.0813
0.1038
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