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Statistical analysis of international call rates and leadership scores. It includes t-tests, ANOVA, and regression analysis. The questions cover topics such as hypothesis testing, confidence intervals, and degrees of freedom. The document could be useful as study notes or exam preparation for statistics courses in universities.
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Use the information given below to answer the four (4) questions that follow: A quality engineer wants to verify that the thickness of metal strips produced in their rolling mills is 6 centimeters. The consistency of their thickness is very important to the companies purchasing these strips, for down-stream processing. The engineer drew a sample of 70 strips, and obtained the average sample thickness as 5.835, and the sample standard deviation as 1.23. Test the appropriate hypothesis at the 1% significance level.
Country IDT MCI Argentina 17 17 Mexico- 1 9 17 Use the information given below to answer the three questions (3) that follow: In competing for international customers, at one time, IDT claimed that their average rates are lower than those of MCI (one of their competitors at the time). A consumer decided to test the claim by collecting and analyzing data from their IDT’s and MCI’s Web sites. The rates offered by each company, in cents per minute, for international calls from the U.S. to 12 randomly selected countries and their statistical analysis are listed below. Is it true that IDT’s true mean rate is lower than that of MCI? t-Test: Paired Two Sample for Means IDT MCI Brazil (^15 19) Mean 13.25 14. Canada (^3 2) Variance 43.48 199. China 14 13 Observations 12 12 France 10 6 Pearson^ Correlation^ 0. Germany 11 5 Greece 12 16. India 31 55 Israel 13 9 Italy (^11 4) t Critical one-tail Japan (^13 7) P(T<=t) two-tail 0. t Critical two-tail If you need a professional to complete your college homework at a small fee, then reach out to Homeworkanalyzers.com
Use the information given below to answer the four (4) questions that follow: The personnel manager of a large insurance company wishes to evaluate the leadership ability of supervisors, mid-level managers and upper-level managers. 10 subordinates are surveyed to give responses that result in a leadership measurement index for their management. Is there a difference, on the average of the leadership scores for the three groups? Leadership indices and ANOVA table are as follows: Supervisor Mid-Manager Upper-Manager 23 30 54 12 35 9 45 18 8 43 96 56 78 78 56 43 45 54 11 67 45 34 78 44 65 56 19 40 30 52 ANOVA Source of Variation SS^ df^ MS^ F^ P-value^ F^ crit Between Groups 1260.867 2 630.4333 ********** 0.300759 3. Within Groups 13546.6 27 501. Total *********** 29
Use the information given below to answer the six (6) questions that follow: Zenith Computers, Texas would like to predict weekly Internet sales based on the number of orders. The following data relating the $ sales volume to the number of orders were available. Regression analysis was performed using Excel, parts of which are given, following the data. Please complete the Table, only as required to answer the subsequent questions. Week Orders Sales ($000) 1 820 16. 2 830 18. 3 810 11. 4 855 14. 5 900 30. 6 845 11. 7 850 13. 8 870 16. 9 921 41. 10 886 19. 11 920 38. 12 925 40. 13 930 50. 14 937 56 15 990 60. SUMMARY OUTPUT Regression Statistics Multiple R 0. R Square 0. Adjusted R Square 0. Standard Error Observations 15 ANOVA Df SS MS F Significance F Regression 1 3607.438511 83.45220114 5.08454E- 07 Residual 13 43. Total 14 4169. Coefficients Standard Error t^ Stat^ P-value^ Lower^ 95%^ Upper^ 95% Intercept - 247.7096226 30.36491712 - 8.157757247 1.80456E- 06 Orders 0.034220889 9.13521763 5.08454E- 07
Use the following information to answer next five questions. To predict the sales price of a used Accord, the following data from the past sales records for the car were collected, viz., the car’s age, condition, and mileage and seller (whether the seller is an individual or a dealer). The dummy variable x3 is set equal to 1 if the car is in poor condition, 0 if not. The dummy variable x4 is set equal to 1 if the seller is a dealer and 0 if not (i.e., if the seller is an individual). The data was analyzed using the multiple regression module of Excel, and partial results are given, following the data. Please complete the Tables only to the extent required to answer the subsequent questions. sales Price(Y) Age(in Years) X Mileage(in Thousands) X Condition(Excellent, Poor) X3 Dealer^ or^ individual^ X 2500 9 85 1 0 2200 9 96 0 0 2500 8 110 0 0 5400 7 34 0 1 3700 7 49 0 0 3800 7 82 0 0 2200 7 103 0 0 6500 6 69 0 1 6000 6 63 1 1 3500 6 58 0 0 7245 5 52 1 1 6500 5 65 0 0 6543 5 60 0 0 6476 5 62 0 0 6450 5 55 0 0 4300 5 69 1 0 9876 4 41 0 1 9533 4 32 1 1 9833 4 40 0 0 8400 4 50 0 0 7853 4 43 0 0 6784 4 52 0 0 6450 4 63 1 0 14350 3 28 0 1 11965 3 21 0 1 11750 3 25 0 1 11000 3 29 0 1 7500 3 42 1 0 16888 2 16 1 1 16000 2 17 0 1 18650 1 8 1 1
SUMMARY OUTPUT Multiple R 0. R Square 0. Adjusted R Square 0. Standard Error 1763. Observations ANOVA df SS MS F Significance F Regression 4 527890899.8 4.94073E- 11 Residual 26 80893557. Total 30 608784456. Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 15231.64184 1196. Age - 1384.557077 313. Mileage - 30.9068402 28. Condition - 61.64741944 718. Dealer 2364.743489 858. RESIDUAL OUTPUT Observatio n Predicted Y Residuals Standard Residuals 1 81.8993195 2418.10068 1. 2 - 196.4285033 2396.428503 1. 3 755.4328104 1744.56719 1. 4 6853.653231 - 1453.653231 - 0. 5 4025.307139 - 325.3071392 - 0. 6 3005.381413 794.6185874 0. 7 2356.337768 - 156.3377683 - 0. 8 7156.4709 - 656.4709004 - 0. 9 7280.264522 - 1280.264522 - 0. 10 5131.702654 - 1631.702654 - 0. 11 9004.796841 - 1759.796841 - 1. 12 6299.911849 200.088151 0. 13 6454.44605 88.55394998 0. 14 6392.63237 83.36763039 0. 15 6608.980251 - 158.980251 - 0. 16 6114.637069 - 1814.637069 - 1. 17 10790.97658 - 914.9765791 - 0. 18 11007.49072 - 1474.490721 - 0. 19 8457.139931 1375.860069 0. 20 8148.071529 251.9284715 0. 21 8364.41941 - 511.4194099 - 0.