MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
Question
44. If p - value = 0.02 for Ho : p = 0 vs Hị : p # 0, which statement is true at the 5% level of signifi- cance? (a) Ho will not be rejected. (b) p> 1. (c) The true correlation is non-significant. (d) The true correlation is significant. 45. Suppose X- N(1x = 15, 0 = = - The value of a is given by: From this information, we are asked to determine P A- 0.99. 13/21 (a) 14.0696. (b) 13.9696. (c) 15.9304. (d) 18.7216. 46. Suppose an experiment is carried out with an interest in assessing if mean reaction time differ in 3 groups of people after taking the respective beverages (water, fruit juice and coffee). The following diagrams are obtained by two students as part of their projects. Student A Student B Borplets ker Readien Time te Bererss Betet ke Raen Tt Ber 24 28 22 26 24 20 22 18 16 16 14 14 12 12 10 Mean Water Coffee Juce Cafee Beverage Berg Meane E Which statement is true? (a) Ho will is more likely to be rejected by student B. (b) Between group variability is larger for student A than between group variability. (c) Within group variability is larger for student B than between group variability. (d) Ho is more likely to be rejected by student A. 47. Given the following stem and leaf plot. What is the coefficient of variation? Stem (units) Leaf (hundredths) 6. 47 7 13 42 8 50 29 53 9. 15 77 09 60 70 54
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Transcribed Image Text:44. If p - value = 0.02 for Ho : p = 0 vs Hị : p # 0, which statement is true at the 5% level of signifi- cance? (a) Ho will not be rejected. (b) p> 1. (c) The true correlation is non-significant. (d) The true correlation is significant. 45. Suppose X- N(1x = 15, 0 = = - The value of a is given by: From this information, we are asked to determine P A- 0.99. 13/21 (a) 14.0696. (b) 13.9696. (c) 15.9304. (d) 18.7216. 46. Suppose an experiment is carried out with an interest in assessing if mean reaction time differ in 3 groups of people after taking the respective beverages (water, fruit juice and coffee). The following diagrams are obtained by two students as part of their projects. Student A Student B Borplets ker Readien Time te Bererss Betet ke Raen Tt Ber 24 28 22 26 24 20 22 18 16 16 14 14 12 12 10 Mean Water Coffee Juce Cafee Beverage Berg Meane E Which statement is true? (a) Ho will is more likely to be rejected by student B. (b) Between group variability is larger for student A than between group variability. (c) Within group variability is larger for student B than between group variability. (d) Ho is more likely to be rejected by student A. 47. Given the following stem and leaf plot. What is the coefficient of variation? Stem (units) Leaf (hundredths) 6. 47 7 13 42 8 50 29 53 9. 15 77 09 60 70 54
21. A student answers a multiple-choice examination question that offers four possible answers. Suppose that the prob- ability that the student knows the answer to the question is 0.4 and the probability that the student will guess is 0.6. Assume that if the student guesses, the probability of not selecting the correct answer is 0.5. If the student correctly answers a question, what is the probability that the student really knew the correct answer? (a) 0.5714. (b) 0.5. (c) 0. (d) 0.25. 22. The Wilcoxon rank sum test is a nonparametric equivalent of (a) Chi-squared test for goodness of fit. (b) Chi-squared test for independence. (c) Paired t- test. (d) Two independent samples t- test. 23. The random variable X is from some distribution (that is not normal) with a mean of 5 and a standard devi- ation of 2. Is the distribution of X for a random sample of 16 still a normal distribution? If so, what are the parameters? (a) Yes, XN (5, ). (b) Yes, X N ( #) (e) Yes, X~ N (5, ). (d) No, since the sample size is small, the Central Limit Theorem does not apply and it is no longer sufficient to use the normal distribution for inferences. 24. Suppose X- b(n = 18, p = 0.7). Determine P(1< X < 9). (a) 0.0210. (b) 0.0596. (c) 0.9790. (d) 0.9404. 25. An engineer found that by adding small amounts of a compound to rechargeable batteries during manufacture, she could extend their lifetimes. She experimented with different amounts of the additive, g, and measured the hours they lasted to power a light bulb. The following equation gives the fitted model: j = 1.84 + 0.28z. What is the predicted extended life for a battery with 3g of the additive? (a) 2.12. (b) 1.84. (c) 0.28. (d) 2.68.
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Transcribed Image Text:21. A student answers a multiple-choice examination question that offers four possible answers. Suppose that the prob- ability that the student knows the answer to the question is 0.4 and the probability that the student will guess is 0.6. Assume that if the student guesses, the probability of not selecting the correct answer is 0.5. If the student correctly answers a question, what is the probability that the student really knew the correct answer? (a) 0.5714. (b) 0.5. (c) 0. (d) 0.25. 22. The Wilcoxon rank sum test is a nonparametric equivalent of (a) Chi-squared test for goodness of fit. (b) Chi-squared test for independence. (c) Paired t- test. (d) Two independent samples t- test. 23. The random variable X is from some distribution (that is not normal) with a mean of 5 and a standard devi- ation of 2. Is the distribution of X for a random sample of 16 still a normal distribution? If so, what are the parameters? (a) Yes, XN (5, ). (b) Yes, X N ( #) (e) Yes, X~ N (5, ). (d) No, since the sample size is small, the Central Limit Theorem does not apply and it is no longer sufficient to use the normal distribution for inferences. 24. Suppose X- b(n = 18, p = 0.7). Determine P(1< X < 9). (a) 0.0210. (b) 0.0596. (c) 0.9790. (d) 0.9404. 25. An engineer found that by adding small amounts of a compound to rechargeable batteries during manufacture, she could extend their lifetimes. She experimented with different amounts of the additive, g, and measured the hours they lasted to power a light bulb. The following equation gives the fitted model: j = 1.84 + 0.28z. What is the predicted extended life for a battery with 3g of the additive? (a) 2.12. (b) 1.84. (c) 0.28. (d) 2.68.
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