For items 27 to 29: A professor wants to determine whether there is a difference in the finalaverages between the past two semesters. Of his business statistics classes. For a random sampleof 16 students from semester 1, the mean of the final averages was 75 with standard deviation of 4.For a random sample of 9 students from semester 2, the mean was 73 with standard deviation of 6.27. If the final averages form semester 1 and 2 are assumed to be normally distributed withequal variances. Which of the following is the appropriate set of hypotheses?A. Ho: H1-2 S0 vs HA: H1- 42>0B. Ho: H1 -H2 20 vs HA: 1 -H2 <0C. Ho: H1 - 2 =0 vs HA: H1- H2 #0D. Ho: H-42 # 0 vs HA: H1 H2 =0%3D28. What is the computed test statistics for the appropriate test?B. t 0.8944A. z 1.9964C. t 1.0018D. z = 0.5009%3D%3D29. What is the correct decision for the appropriate test at a 0.05 level of significance whenthe population variances are assumed to be equal?A. Do not reject the null hypothesis.B. Reject the null hypothesisC. Reject the alternate hypothesisD. Do not reject the alternate hypothesis.30. Which of the following is correct?A. The Probability of type I error is BB. The probability of type two error is (1 - Bß)C. The probability of type II error is aD. None of the above.

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Description: For items 27 to 29: A professor wants to determine whether there is a difference in the finalaverages between the past two semesters. Of his business statistics classes. For a random sampleof 16 students from semester 1, the mean of the final averag

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If the final averages form semester 1 and 2 are assumed to be normally distributed with qual variances. Which of the following is the appropriate set of hypotheses? A. Ho: H1- H2S O vs HA: H1 - H2>0 B. Ho: H1 - H220 vs HA: H1 -42 <0 C. Ho: H1 - H2 = 0 vs HA: H1 - Hz # 0 D. Ho: H1- H2 # 0 vs HA: 1 - H2 = 0 . What is the computed test statistics for the appropriate test? A. z = 1.9964 B. t 0.8944 C. t 1.0018 D. z = 0.5009 . What is the correct decision for the appropriate test at a 0.05 level of significance when the population variances are assumed to be equal?

If the final averages form semester 1 and 2 are assumed to be normally distributed with qual variances. Which of the following is the appropriate set of hypotheses? A. Ho: H1- H2S O vs HA: H1 - H2>0 B. Ho: H1 - H220 vs HA: H1 -42 <0 C. Ho: H1 - H2 = 0 vs HA: H1 - Hz # 0 D. Ho: H1- H2 # 0 vs HA: 1 - H2 = 0 . What is the computed test statistics for the appropriate test? A. z = 1.9964 B. t 0.8944 C. t 1.0018 D. z = 0.5009 . What is the correct decision for the appropriate test at a 0.05 level of significance when the population variances are assumed to be equal?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Topic Video

Question

For items 27 to 29: A professor wants to determine whether there is a difference in the final
averages between the past two semesters. Of his business statistics classes. For a random sample
of 16 students from semester 1, the mean of the final averages was 75 with standard deviation of 4.
For a random sample of 9 students from semester 2, the mean was 73 with standard deviation of 6.
27. If the final averages form semester 1 and 2 are assumed to be normally distributed with
equal variances. Which of the following is the appropriate set of hypotheses?
A. Ho: H1-2 S0 vs HA: H1- 42>0
B. Ho: H1 -H2 20 vs HA: 1 -H2 <0
C. Ho: H1 - 2 =0 vs HA: H1- H2 #0
D. Ho: H-42 # 0 vs HA: H1 H2 =0
%3D
28. What is the computed test statistics for the appropriate test?
B. t 0.8944
A. z 1.9964
C. t 1.0018
D. z = 0.5009
%3D
%3D
29. What is the correct decision for the appropriate test at a 0.05 level of significance when
the population variances are assumed to be equal?
A. Do not reject the null hypothesis.
B. Reject the null hypothesis
C. Reject the alternate hypothesis
D. Do not reject the alternate hypothesis.
30. Which of the following is correct?
A. The Probability of type I error is B
B. The probability of type two error is (1 - Bß)
C. The probability of type II error is a
D. None of the above.

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