BA 578 FINAL EXAM SUMMER I 2016 Page 1 of 10 Name: __________________________ ID: ______________________ Online Final Exam Final Exam There are 4 parts: Part A: Fill in the blank (1-26) Part B: Write your answers (27-50) Part C: Fill in the blank and circle your answers (51-53) Part D: Explaination (54-55) Part E: Work Problem (56-65) **This part all work must be shown step by step** Two different ways to submit your answer sheet 1. Scan your answer sheet and place it in ONE FILE at drop-box. (preferable) 2. Use MS-Word and place it in a drop-box. **Excel is not acceptable for this test **Deadline: Sunday, 3rd of July 2016 by 11:59 PM (CST) **Part E: All work must be shown step by step in order to receive full credit Part A: Fill in the blank (1-26) 1) The purpose of hypothesis testing is to aid the manager or researcher in reaching a (an) __________________ concerning a (an) _______________ by examining the data contained in a (an) _______________ from that ____________________. 2) A hypothesis may be defined simply as __________________________________________. 3) There are two statistical hypotheses. They are the _________________ hypothesis and the _________________ hypothesis. 4) The statement of what the investigator is trying to conclude is usually placed in the _________________ hypothesis. 5) The _____________ hypothesis is the hypothesis that is tested. 6) If the null hypothesis is not rejected, we conclude that the alternative _________________. 7) If the null hypothesis is not rejected, we conclude that the null hypothesis _____________. 8) A Type I error occurs when the investigator _____________________________. 9) A Type II error occurs when the investigator _____________________________ . 10) The probability of committing a Type I error is designated by the symbol ____________, which is also called the ___________________. 11) Values of the test statistic that separate the acceptance region from the rejection are called _________________ values. 12) The following is a general statement of a decision rule: If, when the null hypothesis is true, the probability of obtaining a value of the test statistic as____________ as or more _______ than that actually obtained is less than or equal to , the null hypothesis is____ _________. Otherwise, the null BA 578 FINAL EXAM SUMMER I 2016 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) Page 2 of 10 hypothesis is ______________________ . The probability of obtaining a value of the test statistic as extreme as or more extreme than that actually obtained, given that the tested null hypothesis is true, is called ____________ for the ________________test. When one is testing H0: = 0 on the basis of data from a sample of size n from a normally distributed population with a known variance of 2 , the test statistic is ____________________________________________________. When one is testing H0: = 0 on the basis of data from a sample of size n from a normally distributed population with a unknown variance, the test statistic is ___________________________________________________. The null hypothesis contains a statement of __________________________________. The statement 0 is an inappropriate statement for the ____________ hypothesis. The rejection region consists of those values of the ______________ that will cause rejection of the null hypothesis. The null hypothesis and the alternative hypothesis are ____________ of each other. Given , H0: = 0, then Ha : ___________________________________ . Given H0: 0, then Ha : ___________________________________ . Given H0: 0, then Ha : ___________________________________ . A statement of what you wish to conclude goes in the ______________. A market analyst believes that more than 30% of the adults in a certain area regularly read a certain magazine. The analyst wishes to conduct a hypothesis test to see whether this belief will be supported. The appropriate statistical hypotheses are: __________________. Given: H0: 50; Ha: < 50; = 0.05. A simple random sample of size 64 is drawn from a nonnormally distributed population. = 45, s2 = 256. The computed value of the test statistic is _________________, which is compared for significance with a value from the ____________________ distribution. Given: H0: = 100; Ha: 100; = 0.03; computed z = 2.25, p = 0.0244. The null hypothesis should reject because __________________________________________. Part B: Use questions number 27-50 from page 9-54 to 9-57 to write your answer below (27-50). 27 35 43 28 36 44 29 37 45 30 38 46 31 39 47 32 40 48 33 41 49 34 42 50 BA 578 FINAL EXAM SUMMER I 2016 Page 3 of 10 Part C: Please fill in the blank and circle your decision or answer the following questions (51-53). 51. State whether you would reject or fail to reject the null hypothesis in each of the following cases (two-tailed): Make a decision. a) P = 0.12 ; = 0.05 Decision Reject / Fail to reject P = 0.001 ; = 0.01 Decision Reject / Fail to reject b) 52. State whether H0 should be accepted or rejected for = 0.05, given the following; F = computed F (circle your decision) a) = 2.34; df = 2 and 11 Decision Reject / Fail to reject = 4.29; df = 3 and 24 Decision Reject / Fail to reject b) 53. Given the following, complete the ANOVA table and make the correct inference. Using F-value to make a decision. Source Treatments Error Total SS ____ ____ 40.98 df 2 17 ____ MS 3.24 ____ F ____ ANSWER a) What is the hypothesis being tested in this problem? b) In the above ANOVA table, is the factor significant at the 5% level? c) Number of observations? Part D: Explain below (54-55) 54. What does the constant term capture in the equation? 55. What does the constant term capture in the equation? BA 578 FINAL EXAM SUMMER I 2016 Page 4 of 10 Part E: Must show all your work step by step in order to receive the full credit; Excel is not allowed (56-65). 56. Given the following probabilities, find Z0 and please draw the shading the area a. Show your work P( 0 ) = 0.0060 b. P(1.67 0 ) = 0.8844 c. P( > 0 ) = 0.0455 d. P(0 3.02) = 0.0009 e. P( > 0 ) = 0.7224 f. P(0 0 ) = 0.9876 = Please draw graphs BA 578 FINAL EXAM SUMMER I 2016 Page 5 of 10 57. Work on problem number 28 (a-d) on page 7-26 a) b) c) d) 58. Work on problem number 13 (a-c) on page 7-48 a) b) c) BA 578 FINAL EXAM SUMMER I 2016 Page 6 of 10 59. Work on problem number 15 (a-c) on page 7-67 a) b) c) 60. Use problem number 12 on page 8-11 to answer the following questions (a-d) a) Mean b) Variance c) Standard deviation d) Find a 90% confidence interval for the mean . Interpret this interval BA 578 FINAL EXAM SUMMER I 2016 Page 7 of 10 61. Please fill in the computer printout and answer the following questions (a-b). Given that =0.05 SUMMARY OUTPUT Regression Statistics Multiple R 0.9037 R Square ______ Adjusted R Square ______ Standard Error ______ Observations ______ ANOVA df SS MS F Significance F Regression 1 4.9 ______ ______ 0.03535 Residual 3 1.1 Total ______ ______ ______ Coefficients Standard Error t Stat P-value Lower95% Upper 95% Lower 95.0% Upper 95.0% Intercept -0.1 ______ -0.15746 0.88488 ______ ______ ______ ______ X1 0.7 ______ 3.65563 0.03535 ______ ______ ______ ______ a) Predicting Y given that X=5; confidence interval = 0.05 b) Estimating mean given that X=5; confidence interval = 0.05 BA 578 FINAL EXAM SUMMER I 2016 Page 8 of 10 62. The following regression equation was obtained using the five independent variables. Given that = 0.05 The regression equation is sales = - 19.7 - 0.00063 outlets + 1.74 cars + 0.410 income + 2.04 age - 0.034 bosses Predictor Constant outlets cars income age bosses Coef -19.672 -0.000629 1.7399 0.40994 2.0357 -0.0344 S = 1.507 SE Coef 5.422 0.002638 0.5530 0.04385 0.8779 0.1880 R-Sq = 99.4% T -3.63 -0.24 3.15 9.35 2.32 -0.18 P 0.022 0.823 0.035 0.001 0.081 0.864 R-Sq(adj) = 98.7% Analysis of Variance Source Regression Residual Error Total DF 5 4 9 SS 1593.81 9.08 1602.89 MS 318.76 2.27 F 140.36 P 0.000 (Minitab Software) a) What percent of the variation is explained by the b) regression equation? What is the standard error of regression? c) What is the critical value of the F-statistic? What sample size is used in the print out? e) What is the variance of the slope coefficient of income? f) Conduct a global test of hypothesis to determine if any of the regression coefficients are not zero. g) Conduct a test of hypothesis on each of the independent variables. Would you consider eliminating outlets and bosses? d) BA 578 FINAL EXAM SUMMER I 2016 Page 9 of 10 63. Work on problem 3 on page 10-28 (a-d) a) b) c) d) 64. An ad agency asks each member of a random sample of 60 viewers to indicate which of six television programs he or she prefers. Let = 0.05 Program 1 2 3 4 5 6 Total Number 5 8 a) Is the 2 value significant at 5% level of significant? 10 12 12 13 60 b) Write the conclusion for this question BA 578 FINAL EXAM SUMMER I 2016 65. Work on problem 10 on page 15-10 a) What is you hypothesis testing b) What is your 2 ? c) Is the 2 value significant at the 5 % level of significance? d) Write the conclusion for this question. Page 10 of 10