6. [15 points total] The following table presents information on 4 different random samples from the same population. Imagine that each sample is investigating a two-tailed null hvpothesis that the mean is 79 and that the sample meam in each sample is 80; and the standard deviation in each sample is 10. Some of the samples would reject the null hypothesis, other would not. Report what this table is supposed to illustrate, and explain what makes the illustrated phenomena occur. The following table reports the test statistics corresponding to a single-sample test of the hypothesized mean computed from 4 different random samples of various sizes (with each sample having the same mean and standard deviation as reported above) Sample Test Statistic observed) Size 101 201 501 1,001 1.00 1.41 2.23 3.16 a) [5 points] What does this table illustrate? Why doesn't the same sample mean provide the same test outcome? b) [10 points] What makes this phenomena occur
6. [15 points total] The following table presents information on 4 different random samples from the same population. Imagine that each sample is investigating a two-tailed null hvpothesis that the mean is 79 and that the sample meam in each sample is 80; and the standard deviation in each sample is 10. Some of the samples would reject the null hypothesis, other would not. Report what this table is supposed to illustrate, and explain what makes the illustrated phenomena occur. The following table reports the test statistics corresponding to a single-sample test of the hypothesized mean computed from 4 different random samples of various sizes (with each sample having the same mean and standard deviation as reported above) Sample Test Statistic observed) Size 101 201 501 1,001 1.00 1.41 2.23 3.16 a) [5 points] What does this table illustrate? Why doesn't the same sample mean provide the same test outcome? b) [10 points] What makes this phenomena occur
MATLAB: An Introduction with Applications
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Author:Amos Gilat
Publisher:Amos Gilat
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![6. [15 points total] The following table presents information on 4 different random samples from the same
population. Imagine that each sample is investigating a two-tailed null hvpothesis that the mean is 79 and
that the sample meam in each sample is 80; and the standard deviation in each sample is 10. Some of the
samples would reject the null hypothesis, other would not. Report what this table is supposed to illustrate,
and explain what makes the illustrated phenomena occur.
The following table reports the test statistics corresponding to a single-sample
test of the hypothesized mean computed from 4 different random samples
of various sizes (with each sample having the same mean and standard
deviation as reported above)
Sample Test Statistic
observed)
Size
101
201
501
1,001
1.00
1.41
2.23
3.16
a) [5 points] What does this table illustrate? Why doesn't the same sample mean provide the same test
outcome?
b) [10 points] What makes this phenomena occur](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85f4d01d-5127-414c-abd3-a5da31f2a620%2Fd2e61365-25ed-484e-b5f6-d5807fd3ab67%2F039urv.png&w=3840&q=75)
Transcribed Image Text:6. [15 points total] The following table presents information on 4 different random samples from the same
population. Imagine that each sample is investigating a two-tailed null hvpothesis that the mean is 79 and
that the sample meam in each sample is 80; and the standard deviation in each sample is 10. Some of the
samples would reject the null hypothesis, other would not. Report what this table is supposed to illustrate,
and explain what makes the illustrated phenomena occur.
The following table reports the test statistics corresponding to a single-sample
test of the hypothesized mean computed from 4 different random samples
of various sizes (with each sample having the same mean and standard
deviation as reported above)
Sample Test Statistic
observed)
Size
101
201
501
1,001
1.00
1.41
2.23
3.16
a) [5 points] What does this table illustrate? Why doesn't the same sample mean provide the same test
outcome?
b) [10 points] What makes this phenomena occur
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