In 2010 the Pew Research Center reported that teenagers send on average 50 text messages every day. A researcher suspects this number is out of date and wishes to determine if teens are sending fewer texts than they used to. A random sample of 25 teens were found to be sending an average of 47.75 texts per day, with a standard deviation of 15. Testing at 10% significance and stating the null and alternative hypothesis, what can the researcher conclude?
In 2010 the Pew Research Center reported that teenagers send on average 50 text messages every day. A researcher suspects this number is out of date and wishes to determine if teens are sending fewer texts than they used to. A random sample of 25 teens were found to be sending an average of 47.75 texts per day, with a standard deviation of 15. Testing at 10% significance and stating the null and alternative hypothesis, what can the researcher conclude?
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
In 2010 the Pew Research Center reported that teenagers send on average 50 text messages every day. A researcher suspects this number is out of date and wishes to determine if teens are sending fewer texts than they used to. A random sample of 25 teens were found to be sending an average of 47.75 texts per day, with a standard deviation of 15. Testing at 10% significance and stating the null and alternative hypothesis, what can the researcher conclude?
Transcribed Image Text:Degrees
of
freedom
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
Large (2)
.005
(one tail)
.01
(two tails)
63.657
9.925
5.841
4.604
4.032
3.707
3.500
3.355
3.250
3.169
3.106
3.054
3.012
2.977
2.947
2.921
2.898
2.878
2.361
2.345
2.831
2.819
2.807
2.797
2.787
2.779
2.771
2.763
2.756
2.575
.01
(one tail)
.02
(two tails)
31.821
6.965
4.541
3.747
3.365
3.143
2.998
2.596
2.821
2.764
2.718
2681
2.650
2.625
2.602
2.584
2.567
2.552
2.540
2.528
2.518
2.508
2.500
2.492
2.485
2.479
2.473
2.467
2.462
2.327
Distribution
a
.025
(one tail)
.05
(two tails)
12.706
4.303
3.182
2.776
2571
2.447
2.365
2.306
2.262
2.228
2.201
2.179
2.160
2.145
2.132
2.120
2.110
2.100
2.093
2.036
2.080
2.074
2,069
2.064
2.060
2.056
2.052
2.048
2.045
1.960
05
(one tail)
.10
(two tails)
6.314
2.920
2.353
2.132
2.015
1.943
1.895
1.360
1.833
1.812
1.796
1.782
1.771
1.761
1.753
1.746
1.740
1.734
1.729
1.725
1.721
1.717
1.714
1.711
1.70S
1.706
1.703
1.701
1.699
1.645
.10
(one tail)
.20
(two tails)
3.078
1.886
1.638
1.533
1.476
1.440
1.415
1.397
1.383
1.372
1-363
1.356
1.350
1.345
1.341
1.337
1.333
1.330
1.328
1.325
1.323
1321
1.320
1.318
1.316
1.315
1.314
1.313
1.311
1.282
25
(one tail)
-SO
(two tails)
1.000
816
765
741
727
.718
.711
.706
.703
.700
697
.696
694
692
691
690
.639
688
638
637
636
686
685
685
684
684
684
683
.683
.675
Transcribed Image Text:TABLE A.2 Critical Values for the t Distribution
df
Significance Level (a), Two-Tailed Test:
Significance Level (a), One-Tailed Test:
Confidence Levels for Cls:
12345
6789O
10
12345
11
67899
16
17
18
19
20
21
72322
24
25
26
27
28
29
30
40
60
120
00
.10
.05
90%
6.31
2.92
2.35
2.13
2.02
1.94
1.90
1.86
1.83
1.81
1.80
1.78
1.77
1.76
1.75
1.75
1.74
1.73
1.73
1.73
1.72
1.72
1.71
1.71
1.71
1.71
1.71
1.70
1.70
1.70
1.68
1.67
1.66
1.65
.05
.025
95%
12.71
4.30
3.18
2.78
2.57
2.45
2.37
2.31
2.26
2.23
2.20
2.18
2.16
2.15
2.13
2.12
2.11
2.10
2.09
2.09
2.08
2.07
2.07
2.06
2.06
2.06
2.05
2.05
2.05
2.04
2.02
2.00
1.98
1.96
.02
.01
98%
31.82
6.97
4.54
3.75
3.37
3.14
3.00
2.90
2.82
2.76
2.72
2.68
2.65
2.62
2.60
2.58
2.57
2.55
2.54
2.53
2.52
2.51
2.50
2.49
2.49
2.48
2.47
2.47
2.46
2.46
2.42
2.39
2.36
2.33
.01
.005
99%
63.66
9.93
5.84
4.60
4.03
3.71
3.45
3.36
3.25
3.17
3.11
3.06
3.01
2.98
2.95
2.92
2.90
2.88
2.86
2.85
2.83
2.82
2.81
2.80
2.79
2.78
2.77
2.76
2.76
2.75
2.70
2.66
2.62
2.58
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