2. Two-tailed test. 3. Select a significant level alpha. 4. Determine T test OR Z test. 5. Tore OR Zoru (Draw a graph) 6. Calculate Tobe Or Zobe. 7. Check whether the observed value (obt) falls in the critical region. 8. Reject or Fail to Reject Null Hypothesis. 9. Therefore, there isa statisticallysignificantdifference between the sample mean and the population mean OR there is no significant difference between the two means.
2. Two-tailed test. 3. Select a significant level alpha. 4. Determine T test OR Z test. 5. Tore OR Zoru (Draw a graph) 6. Calculate Tobe Or Zobe. 7. Check whether the observed value (obt) falls in the critical region. 8. Reject or Fail to Reject Null Hypothesis. 9. Therefore, there isa statisticallysignificantdifference between the sample mean and the population mean OR there is no significant difference between the two means.
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
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Transcribed Image Text:1. In the past years, the mean of Math test
scores in a 4th grade class was 18. The
following is a set of scores from 10 students
from this year. A hypothesis testing needs to
be conducted in order to compare the means
to see if this year's students (based on this
year's sample) are performing at the same
level as the previous years.
Data 3 - 5 >
Subject # Score (Score)^2
1 22 484
2 12 144
3 15 225
4 20 400
5 26 676
6 29 841
7 25 625
8 20 400
1/2
9 24 576
10 19 361
Total 212 4732
3. Is there a significant difference between
the sample mean of scores and the
population mean? Carry out all 9 steps of the
hypothesis testing. Use \alphaa=0.05
Transcribed Image Text:t Table
cum. prol
two-tail
0.10
0.05
0.01
df
6.314
12.71
63.66
2.920
4.303
9.925
2.353
3.182
5.841
4
2.132
2.776
4.604
2.015
2.571
4.032
6.
1.943
2.447
3.707
1.895
2.365
3.499
8
3.355
3.250
1.860
2.306
2.262
1.833
10
1.812
2.228
3.169
1.796
2.201
3.106
12
1.782
2.179
3.055
13
1.771
2.160
3.012
14
1.761
2.145
2.977
15
1.753
2.131
2.947
16
1.746
2.120
2.921
17
1.740
2.110
2.898
18
1.734
2.101
2.878
19
1.729
2.093
2.861
20
1.725
2.086
2.845
21
1.721
2.080
2.831
22
1.717
2.074
2.819
23
1.714
2.069
2.807
24
1.711
2.064
2.797
25
1.708
2.060
2.787
26
1.706
2.056
2.779
27
1.703
2.052
2.771
28
1.701
2.048
2.763
29
1.699
2.045
2.756
30
1.697
2.042
2.750
32
1.694
2.037
2.738
34
1.691
2.032
2.728
36
1.688
2.028
2.719
38
1.696
2.024
2.712
2.704
40
1.684
2.021
42
1.682
2.018
2.698
44
1.680
2.015
2.692
46
1.679
2.013
2.687
48
1.677
2.011
2.682
50
1.676
2.009
2.678
60
1.671
2.000
2.660
80
1.664
1.990
2.639
100
1.660
1.984
2.626
120
1.658
1.980
2.617
1000
1.646
1.962
2.581
1.645
1.960
2.576
90%
95%
99%
Confidence Level
Summary of the 9 Steps for Hypothesis Testing
1. Null and alternative hypothesis.
2. Two-tailed test.
3. Select a significant level alpha.
4. Determine T test OR Z test.
5. Teri OR Zerit (Draw a graph)
6. Calculate Tohy or Zye.
7. Check whether the observed value (obt) falls in the critical
region.
8. Reject or Fail to Reject Null Hypothesis.
9. Therefore, there isa statisticallysignificantdifference
between the sample mean and the population mean OR
there is no significant difference between the two means.
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