Question

A clinic offers a weight-reduction program. A review of its
records revealed the following weight losses, in pounds, for
a

random sample of 29 of its clients after the program:

6 14 0 5 3 2 3 0 3 0

5 7 0 4 8 7 6 5 7 6

8 0 0 0 4 2 0 5 3

Goodness-of-Fit Test

Shapiro-Wilk W Test

W Prob<W

0.899470 0.0095*

Note: Ho = The data is from the Normal distribution. Small p-values
reject Ho.

a) Test the claim that the data is from a normal population by
using the results from the Shapiro Wilk test. Use a 5% level
of

significance.

Ho: The data IS from a normal population

Ha: The data is NOT from a normal population

(1) Decision Rule: If the p-value (Prob < W) is more than α
= 0.05, then we would reject Ho / not reject Ho (select one)

Test statistic: (1) the p-value = prob < W=

Decision: (1) Reject Ho Do not reject Ho (Select one)

Conclusion in plain English: (1) Select one of the following

i) We have strong evidence that the data is not from a normal
distribution

ii) We have strong evidence that the data is from a normal
population

iii) We have no evidence that the data is not normally
distributed

iv) none of the above

b) (4) Calculate the mean and standard deviation of this
sample.

c) (11) Test the claim that the true population standard
deviation is 5. Use a 2% level of significance.

Ho: Ha:

Decision Rule: Test statistic:

Decision Conclusion

d) (1) Based on your conclusion to (c) do you need to set up a
confidence interval for the population variance? Yes/No

e) (3) Irrespective of your conclusion in (c), set up a 98%
confidence interval for the population variance.

f) (3) Using your conclusion to (c), set up a 98% confidence interval for the population mean.

Answer #1

(a)

(1) Test statistics(W)=0.89947 and p-value(of test statistics) = 0.009515

Here, at 5% level of significance, p-value(0.009515), which is less than 0.05 and in this case, we reject the null hypothesis(Ho).

Decision: Reject Ho

Conclusion: We have strong evidence that the data is not from a normal distribution.

(b) mean of given sample= 3.896552 and standard deviation of sample= 3.352449

(c)

74. When the sample size is changed from 2500 to 900, what is
the effect on the std. error?
A.
The new std error is 9/25 times the old error
B.
The new std error is 3/5 of the old error
C.
The new std error is 5/3 of the old error
D.
The correct answer is not among the choices.
E.
The new std error is 25/9 of the old error
67.
The test statistic for a certain left...

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51-75% wound healing, and 10% reported 76-100% wound healing.
Researchers recruit a sample of 250 participants into an
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4-weeks. The results are displayed in the table below:
Percent Wound Healing
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PUBH 6033—Week 5 Assignment:
Steps to Hypotheses Testing
Instructions
For this Assignment, review this week’s Learning Resources,
including the 5 step approach to hypothesis testing document. Read
the research scenario, below, and then answer the questions related
to the steps that must be followed to make the appropriate decision
as to reject or fail to reject the null hypothesis.
Submit this Application Assignment by Day
7.
---------------------------------------------------------------------------------------------------------------------
Research Scenario
Hemoglobin levels (g/dL) from the general population of adult
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significance level that the machine is not working properly? That
is, can you conclude that the machine is either underfilling or
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1. To test: Ho: (Click to
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You wish to test the following claim (Ha) at a significance
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Ho:μ1=μ2
Ha:μ1>μ2
You obtain a sample of size n1=19 with a mean of ¯x1=51.9 and a
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[ MATCHCorresponding Letter to the number by Selecting the
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Assume that the null hypothesis is no difference or no mean
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[a] Reject the alternate hypothesis. We have good evidence that
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[b] Do not reject the alternate hypothesis. We do not have
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[c] Accept the alternate hypothesis. There is no evidence of a
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[d] Reject the null hypothesis. There...

[ MATCHCorresponding Letter to the number by Selecting the
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Assume that the null hypothesis is no difference or no mean
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[a] Reject the alternate hypothesis. We have good evidence that
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[b] Do not reject the alternate hypothesis. We do not have
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[c] Accept the alternate hypothesis. There is no evidence of a
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A random sample of leading companies in South Korea gave the
following percentage yields based on assets.
2.1
1.9
4.2
1.2
0.5
3.6
2.4
0.2
1.7
1.8
1.4
5.4
1.1
Use a calculator to verify that s2 ≈ 2.200
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Another random sample of leading companies in Sweden gave the
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2.9
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3.3
1.1
3.5
2.8
2.3
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d. What is the test statistic value?
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