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##### BA578 Final exam 2014

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Question;FinalExam;v There are 4 parts;Part A: True/ False (1-15);Part B: Answer the following questions;(16-21);Part C: Select the correct answer for;the following questions (22-60);Part D: Work Problem (61-71) **All;work must be shown step by step**;v Two different ways to submit your answer sheet;Scan;your answer sheet and place it inONE FILEat;drop-box. (preferable)Use;MS-Word and place it in a drop-box.;v **Excel is not acceptable for this test;v **Deadline:Monday, 4th of;Augest 2014 by noon;v **All work;must be shown step by step in order to receive credit;Online Final Exam;Part A;True or False (1-15);____ ___ 1. The usual;objective of regression analysis is to predict estimate the value of one;variable when the value of another variable is known.;___ ____ 2. Correlation;analysis is concerned with measuring the strength of the relationship between;two variables.;___ ____ 3. In the least;squares model, the explained sum of squares is always smaller than the;regression sum of squares.;___ ___ 4. The sample;correlation coefficient and the sample slope will always have the same sign.;___ ____ 5. An important;relationship in regression analysis is;=.;__ _____ 6. If zero is;contained in the 95% confidence interval for b1, we may reject Ho;b1 = 0 at the 0.05 level of significance.;____ ___ 7. If in a regression;analysis the explained sum of squares is 75 and the unexplained sum of square;is 25, r2 = 0.33.;___ ____ 8. In general, the;smaller the dispersion of observed points about a fitted regression line, the;larger the value of the coefficient of determination.;____ ___ 9. When small;values of Y tend to be paired with small values of X, the relationship between;X and Y is said to be inverse.;__ _____10.An alternative hypothesis (Ha) is a theory;that contradicts the null hypothesis. The alternative hypothesis will be;accepted when there is strong evidence leading us to reject the null;hypothesis.;___ ____ 11. The p-value of;a test depends on the observed data, but the critical values of a test do;not.;_____ _ 12. Other things;being equal, decreasing? increases?.;__ _____ 13. The larger the;p-value associated with a test of hypothesis, the stronger the support for the;null hypothesis.;_____ __ 14. The;probability that the test statistic will fall in the critical region, given;that H0 is true, represents the probability of making a type II;error.;___ ____ 15. When we reject;a true null hypothesis, we commit a Type I error.;Part B:Answer the following questions (16-21);16. What is the Null;Hypothesis? Explain.;17. What is the;Alternative Hypothesis? Explain.;18. Explain how you decide;what statement goes into the null hypothesis and what;statement go into the alternative;hypothesis.;19. When should the z-test;be used?;20. When should the t-test;be used?;21. What is a critical;value?;Part C: Multiple Choice;(22?60);___ ___ 22. The variable;about which the investigator wishes to make predictions or estimates is called;the ____.;a. dependent variable b. unit of;association;c. independent variable d. discrete;variable;___ __ 23. In regression;analysis, the quantity that gives the amount by which Y changes for a unit;change in X is called the _____.;a. coefficient of determination b. slope of the;regression line;c. Y intercept of the regression line d. correlation coefficient;___ ___ 24. In the equation;y = b0 +b1(x), b0 is the _____.;a. coefficient of determination b. slope of the;regression line;c. y intercept of the regression line d. correlation coefficient;___ ___ 25. In the equation;y = b0 + b1(x), b1 is the _____.;a. coefficient of determination b. slope of the;regression line;c. y intercept of the regression line d. correlation coefficient;____ __ 26. In regression;and correlation analysis, the measure whose values are restricted to the range;0 to 1, inclusive, is the _____.;a. coefficient of determination b. slope of the;regression line;c. y intercept of the regression line d. correlation coefficient;___ ___ 27. In regression;and correlation analysis, the measure whose values are restricted to the range;-1 to +1, inclusive, is the;a. coefficient of determination b. slope of the;regression line;c. y intercept of the regression line d. correlation coefficient;___ ___ 28. The quantity;is called the _______________ sum of square.;a. least b.;explained;c. total d. unexplained;______ 29. If, in the;regression model, b1 = 0, we say there is _____________ linear;relationship between X and Y.;a. an inverse b. a significant;c. a direct d. no;__ ____ 30. If, in the;regression model, b1 is negative, we say there is;linear relationship between X and Y.;a. an inverse;b. a significant;c. a direct;d. no;__ ____ 31. If two;variables are not related, we know that ________________.;a. their correlation coefficient is equal to zero.;b. the variability in one of them cannot be explained by the;other.;c. the slope of the regression line for the two variables is;equal to zero.;d. all of the above statements are true.;__ ____ 32. In simple;linear regression analysis, if the correlation coefficient is equal to 1.0;_________.;a. the slope is equal to 1.0;b. all the variability in the dependent variable is explained;by the independent variable.;c. the y intercept is equal to 1.0;d. the relationship between the two variables can be described;as a bivariable normal distribution.;__ 33. The following;results were obtained from a simple linear regression analysis. Total;sum of square = 5.7640. Explained sum of;squares = 5.5415. Unexplained sum of squares = 0.2225. The coefficient of;determination is;a. 0.0402;b. 0.0386;c. 0.9805;d. 0.9614;___ ___ 34. The following;results were obtained as part of a simple linear correlation analysis: Y =;97.98 ? 4.33x regression sum of squares = 2680. 27. Error sum of squares =;125.40. Total sum of squares = 2805.67. The sample correlation coefficient is;a. -0.9774 b. 0.9553;c. 0.2114;d. 0.0447;___ ___ 35. The following;equation describes the relationship between output and labor input at a sample;of work stations in a manufacturing plant;= 2.35 + 2.20x.;Suppose, for a selected work station, the labor input is 5. The predicted;output is _____________.;a. 4.55;b. 2.35;c. 2.20 d. 13.35;___ 36. In regression and;correlation analyses, the entity on which sets of measurements are taken is;called the ______________.;a. dependent variable b. independent variable;c. variables d.;discrete variable;_ ___ 37. Given;= 10;? 10, n = 12;= 0.01, and the computed test statistic is;2.394;the p value for the test is;a.;Between 0.02 and 0.01 b.;between 0.025 and 0.01;c. between 0.05 and 0.02 d. none of;the above;_ ____38.;The _________ is the smallest level of significance at which;can be rejected.;a. value of;b.;p value;c.;probability of committing of Type I error d.;value of 1 -;???.39. We say that sample results are significant;when ____________.;a.;is not rejected;b.;is rejected;c. is;smaller than the p value;d. the;computed value of the test statistic;fall in the acceptance region;___40. You perform a hypothesis test about a;population mean on the basis of the following;information: the sampled population is normally;distributed, s = 100, n =25;= 225;=;0.05;> 220.;The critical value of the test statistic is __________.;a. 2.0639 b. 1.7081;c.1.7109;d. 1.96;___ ___41. You perform a hypothesis test;about a population mean on the basis of the following;information: n = 50;= 100;= 0.05, s = 30;220. The critical value of the test;statistic is __________.;a.2.5 b.;1.645;c. 1.7109 d.;1.96;__ _____46. Given;? 25;> 25, n = 14;= 0.05;= 36, and;= 30, the critical value;of the test statistic is __________.;a.1.9444 b.;1.7613;c. 1.7709 d.;2.1180;_______47. Given;? 70;> 70, n = 10;= 0.01;= 49, and;= 78, the critical value;of the test statistic is __________.;a.3.6140 b.;2.7640;c.;3.2498 d.;2.8210;____48. The purpose of hypothesis testing is to help one reach a conclusion;about;___________ by examining the data;contained in ___________.;a. a population, a sample;b. an experiment, a computer printout;c. a population, an event;d. a group of subjects, a probability;statement;___49. The probability of rejecting a true null hypothesis is also referred to;as the;for the test.;a. p value b.;critical value;c.;rejection region d.;level of significance;____50. A null hypothesis is rejected at the level of significance when the p;value is;_________.;a. less than or equal to?;b. exactly equal to? only;c. greater than or equal to?;d. greater than or equal to the critical;value of the test statistic;___51. The two kinds of statistical hypotheses are the null hypothesis and the;__________hypothesis.;a. accepted b.;rejected;c. alternative d.;null;____52. The statement of what the investigator is trying to conclude is placed;in the;hypothesis.;a. accepted b.;rejected;c. alternative d. null;_______53.;The _______ hypothesis is the hypothesis that is tested.;a. accepted b.;rejected;c. alternative d. null;_______54.;If the null hypothesis is rejected, we concluded that the _______ hypothesis is;true.;a. accepted b.;rejected;c. alternative d. null;_______55.;If the null hypothesis is not rejected, we conclude that the;hypothesis may;be true.;a. accepted b.;rejected;c. alternative d.;null;_______56.;The statistic that used as a decision maker in a hypothesis-testing procedure;is called the __________.;a. test statistic b. sample;statistic;c. unbiased statistic d.;relevant statistic;_______57.;The rejection of a true null hypothesis is called the ______ error.;a. standard b. Type I;c. critical d.;Type II;_______58.;The quantity that gives the probability that a false null hypothesis will be;rejected is;called the ________ of the test.;a. power b.;probability of a Type II error;c. significance level d.;probability of a Type I error;______59.;Which of the following statements is not necessarily true when applied to a;test;statistic?;a. It is normally distributed with a mean;of 0 and a variance of 1.;b. It is computed from sample data.;c. Its critical value(s) is/are obtained;from appropriate tables of its sampling distribution.;d. It serves as a decision maker.;_______60.;Which of the following statements is not true when applied to the level;significance?;a. It is always equal to the probability of;committing a Type I error.;b. It should always be established prior to;collecting and analyzing the data.;c. It is always larger than the p value.;d. Under the curve of the relevant sampling;distribution, it is the area above the rejection;region.;Part D:Must show all your work step by step in order to receive the;full credit, Excel is not allowed. (61-71);61. Use the following;information from anormal population with mean? = 52 and variance?2= 22.5 to;calculate the following questions.;a) find P (X >55);b) find P;c) find P;62.;A random sample from a population;with mean and standard deviation produced the following sample information;n =110 x = 699 s = 20.4;a);Find a 95% confidence interval for the mean;?. Interpret this interval.;b);Find a 99% confidence interval for the mean;?. Interpret this interval.;63.;Consider the following hypothesis test.;Ho: ? = 17;Ha: ?? 17;A sample of;25 gives a sample mean of 14.2 and sample variance of 25.;a);At? = 0.05, what is the;rejection rule?;b);Compute the value of the test;statistic;c);What is the p-value?;d);What is your conclusion?;64.;Consider the following;hypothesis test.;Ho:? = 15;Ha:?? 15;A sample of 50;gives a sample mean of 14.2 and sample standard deviation of 5.;a) At? = 0.02, what is the;rejection rule?;b) Compute the value of the test statistic z.;c);What is the p-value?;d);What is your conclusion?;65.;Consider the following hypothesis;test;Ho: ?? 10;Ha: ? < 10;A sample of 50 provides;a sample mean of 9.46 and sample variance of 4.;a);At? = 0.05, what is the;rejection rule?;Reject null if z;0, what statistical decision should;be made at 5% level.;f);What is the standard error of;estimate? Can you use this statistic to assess the model?s fit? If so, how?;g);What is the coefficient of;determination, and what does it tell you about the regression model?;h);What is the coefficient of;determination, adjusted for degrees of freedom? Explain how this statistic and;the statistic referred to in part (f) help you to determine how well the model;fits the data.;i);Test the overall utility of the;model. What does the p-value of the test statistic tell you?;70.;For the following ANOVA table are the results from treating 4 cultures with;6 observations for each culture. The enzymes are contained in test tubes with;differing levels of enzymes applied.;a) Please fill in the blank.;Source of Variation;df;SS;MS;F;Treatment;180;Error;60;Total;b) What are the null and alternate;hypotheses?;c) What is your decision rule, Use;d) Indicate your statistical decision.;e) Is;there a difference among the means?;71. A metropolitan bus system sampler?s rider counts on one;of its express commuter routes for a week. Use the following data to establish;whether the rider ship is evenly balanced by day of the week. Let;Day;Monday;Tuesday;Wednesday;Thursday;Friday;Rider Count;10;34;21;57;44;a);Is the?2value;significant at 5% level of significance?;b);Write the;conclusion for this question.

Paper#61910 | Written in 18-Jul-2015

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