4. The effectiveness of the Weight Watchers diet is tested in an experiment, and for each subject, the weight before the dietand the weight after the diet are recorded.a. Claim: ___________b. Ho: _________________________Ha: _________________________c. Analysis: _________________________d. Tail of the distribution: _________________________5. The effectiveness of a flu vaccine is tested by treating one group of subjects with the vaccine while another group of subjectsis given placebos. Is there a significant difference among the two groups?a. Claim: ___________b. Ho: _________________________Ha: _________________________c. Analysis: _________________________d. Tail of the distribution: _________________________II. Solve the following problems:1. A sample of size 78 produced the sample mean of 16.4. Assuming the population standard deviation 3.3, compute a99% confidence interval for the population mean μ.2. In a study of factors affecting hypnotism, visual analogue scale (VAS) sensory ratings were obtained for 16 subjects. Forthese sample ratings, the mean is 8.33 while the standard deviation is 1.96 (based on data from “An Analysis of FactorsThat Contribute to the Efficacy of Hypnotic Analgesia,” by Price and Barber, Journal of Abnormal Psychology, Vol. 96,No. 1). At 0.01 level of significance, test the claim that this sample comes from a population with a mean VAS rating ofless than 10.00.a. Claim (in symbolic form): __________b. Ho:Ha:c. level of significance: test-statistic: _____ tail of distribution: ______d.Decision Rule: Reject Ho if ______________e. Computationf. Decision (Reject Ho or Failed to reject Ho)g.Conclusion 4. The effectiveness of the Weight Watchers diet is tested in an experiment, and for each subject, the weight before the dietand the weight after the diet are recorded.a.Claim:b. Ho:Ha:с.Analysis:d. Tail of the distribution:5. The effectiveness of a flu vaccine is tested by treating one group of subjects with the vaccine while another group of subjectsis given placebos. Is there a significant difference among the two groups?а.Claim:b. Ho:Ha:С.Analysis:d. Tail of the distribution:II. Solve the following problems:1. A sample of size 78 produced the sample mean of 16.4. Assuming the population standard deviation 3.3, compute a99% confidence interval for the population mean u.2. In a study of factors affecting hypnotism, visual analogue scale (VAS) sensory ratings were obtained for 16 subjects. Forthese sample ratings, the mean is 8.33 while the standard deviation is 1.96 (based on data from "An Analysis of FactorsThat Contribute to the Efficacy of Hypnotic Analgesia," by Price and Barber, Journal of Abnormal Psychology, Vol. 96,No. 1). At 0.01 level of significance, test the claim that this sample comes from a population with a mean VAS rating ofless than 10.00.a. Claim (in symbolic form):b. Ho:На:c. level of significance:test-statistic:tail of distribution:d. Decision Rule: Reject Ho ife. Computationf. Decision (Reject Ho or Failed to reject Ho)g. Conclusion

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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

4. The effectiveness of the Weight Watchers diet is tested in an experiment, and for each subject, the weight before the diet
and the weight after the diet are recorded.
a. Claim: ___________
b. Ho: _________________________
Ha: _________________________
c. Analysis: _________________________
d. Tail of the distribution: _________________________
5. The effectiveness of a flu vaccine is tested by treating one group of subjects with the vaccine while another group of subjects
is given placebos. Is there a significant difference among the two groups?
a. Claim: ___________
b. Ho: _________________________
Ha: _________________________
c. Analysis: _________________________
d. Tail of the distribution: _________________________
II. Solve the following problems:
1. A sample of size 78 produced the sample mean of 16.4. Assuming the population standard deviation 3.3, compute a
99% confidence interval for the population mean μ.

2. In a study of factors affecting hypnotism, visual analogue scale (VAS) sensory ratings were obtained for 16 subjects. For
these sample ratings, the mean is 8.33 while the standard deviation is 1.96 (based on data from “An Analysis of Factors
That Contribute to the Efficacy of Hypnotic Analgesia,” by Price and Barber, Journal of Abnormal Psychology, Vol. 96,
No. 1). At 0.01 level of significance, test the claim that this sample comes from a population with a mean VAS rating of
less than 10.00.
a. Claim (in symbolic form): __________
b. Ho:
Ha:
c. level of significance: test-statistic: _____ tail of distribution: ______
d.Decision Rule: Reject Ho if ______________

e. Computation

f. Decision (Reject Ho or Failed to reject Ho)

g.Conclusion

4. The effectiveness of the Weight Watchers diet is tested in an experiment, and for each subject, the weight before the diet
and the weight after the diet are recorded.
a.
Claim:
b. Ho:
Ha:
с.
Analysis:
d. Tail of the distribution:
5. The effectiveness of a flu vaccine is tested by treating one group of subjects with the vaccine while another group of subjects
is given placebos. Is there a significant difference among the two groups?
а.
Claim:
b. Ho:
Ha:
С.
Analysis:
d. Tail of the distribution:
II. Solve the following problems:
1. A sample of size 78 produced the sample mean of 16.4. Assuming the population standard deviation 3.3, compute a
99% confidence interval for the population mean u.
2. In a study of factors affecting hypnotism, visual analogue scale (VAS) sensory ratings were obtained for 16 subjects. For
these sample ratings, the mean is 8.33 while the standard deviation is 1.96 (based on data from "An Analysis of Factors
That Contribute to the Efficacy of Hypnotic Analgesia," by Price and Barber, Journal of Abnormal Psychology, Vol. 96,
No. 1). At 0.01 level of significance, test the claim that this sample comes from a population with a mean VAS rating of
less than 10.00.
a. Claim (in symbolic form):
b. Ho:
На:
c. level of significance:
test-statistic:
tail of distribution:
d. Decision Rule: Reject Ho if
e. Computation
f. Decision (Reject Ho or Failed to reject Ho)
g. Conclusion

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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