Suppose the following data are product weights for the same items produced on two different production lines. Line 1 Line 2 13.1 13.8 14.0 13.7 13.4 13.2 13.5 13.1 12.7 14.4 13.9 14.6 14.2 14.0 14.1 13.3 14.4 14.8 14.3 14.5
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- The following is two years monthly sales data of 5 different outlets of a well-known textile brand. You are required to perform the analysis and answer the questions given below. Brand Sales in million Rs. A 41 40 24 44 33 37 35 28 39 33 30 25 39 33 31 31 B 31 33 48 50 41 48 57 46 50 36 38 38 43 47 36 57 C 53 51 44 56 49 47 59 54 50 55 59 49 40 47 55 47 41 47 D 52 58 54 57 58 39 53 56 56 60 46 54 57 57 63 48 58 56 55 64 54 52 E 44 68 68 69 60 63 57 56 53 60 61 66 70 72 62 57 70 72 55 70 64 63 Write the null and alternate Hypothesis for the first two outputs. [1.5] Develop the ANOVA table for the calculation of “f distribution” value. [1.5] Find out the two critical values of “f…The table below contains real data for the first two decades of AIDS reporting. Year # AIDS cases diagnosed # AIDS deaths Pre-1981 91 29 1981 319 121 1982 1,170 453 1983 3,076 1,482 1984 6,240 3,466 1985 11,776 6,878 1986 19,032 11,987 1987 28,564 16,162 1988 35,447 20,868 1989 42,674 27,591 1990 48,634 31,335 1991 59,660 36,560 1992 78,530 41,055 1993 78,834 44,730 1994 71,874 49,095 1995 68,505 49,456 1996 59,347 38,510 1997 47,149 20,736 1998 38,393 19,005 1999 25,174 18,454 2000 25,522 17,347 2001 25,643 17,402 2002 26,464 16,371 Total 802,118 489,093 Graph "year" versus "# AIDS cases diagnosed" (plot the scatter plot). Do not include pre-1981 data. Perform linear regression. Write the equations. (Round your answers to the nearest whole number. Round r to four decimal places.) (a) Linear Equation: 9 - (b) a = (c) b= (d) (e) n-3. The Save More Rental Car Agency at the Cincinnati airport would like to examine records from last summer in order to plan for the coming summer demand. The data for last year's demand, broken down by type of vehicle requested, is shown in the table below. Vehicle Type Sub-compact Compact Full-size Frequency 545 892 740 360 280 168 2985 * Total is not equal to 1.000 due to rounding error. Relative Frequency 0.183 0.299 0.248 Luxury SUV Van Total 0.121 0.094 0.056 1.001* a) Construct a frequency and relative frequency bar chart for the data. b) Construct a pie chart to display the information. c) This summer's demand is expected to be 20% higher than demand for last summer. Approximately how many luxury cars are expected to be rented this summer?
- Clonex Labs, Incorporated, uses the weighted-average method in its process costing system. The following data are available for one department for October: Units Percent Completed Materials Conversion Work in process, October 1 46,000 85% 65% Work in process, October 31 32,000 67% 54% The department started 391,000 units into production during the month and transferred 405,000 completed units to the next department. Required: Compute the equivalent units of production for October. Equivalent units of production: Material - Conversion -I.1) "Conservationists have despaired over destruction of tropical rain forest by logging, clearing, and burning." These words begin a report on a statistical study of the effects of logging in Borneo. Here are data on the number of tree species in 12 unlogged forest plots and 9 similar plots logged 8 years earlier: Unlogged 22 18 22 20 15 21 13 13 19 13 19 15 Logged 17 4 18 14 18 15 15 10 12 Use the data to give a 90% confidence interval for the difference in mean number of species between unlogged and logged plots. Compute degrees of freedom using the conservative method. Interval: to
- Consider the following information about the payroll of NBA teams. The data is in millions of dollars. 6. 32.1 27.4 27.8 61.8 27.8 27.0 25.9 27.1 34.2 28.0 38.9 24.1 28.5 36.6 34.6 24.9 27.3 34.1 56.5 45.8 27.1 42.9 36.7 25.2 28.4 25.5 40.9 a) Make a grouped frequency distribution table with 6 classes. b) Use your table to draw a histogram. c) Circle the shape of this data. Symmetric Make a stem-and-leaf plot that makes sense. Left skewed Right skewed d)To test for any significant difference in the number of hours between breakdowns for four machines, the following data were obtained. Machine1 Machine2 Machine3 Machine4 6.6 9.1 10.9 9.6 8.1 7.8 9.9 12.4 5.6 9.7 9.4 11.7 7.8 10.3 10.1 10.6 8.8 9.5 8.8 10.9 7.5 10.0 8.5 11.4 (a) At the ? = 0.05 level of significance, what is the difference, if any, in the population mean times among the four machines? State the null and alternative hypotheses. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4Ha: ?1 = ?2 = ?3 = ?4 H0: ?1 = ?2 = ?3 = ?4Ha: ?1 ≠ ?2 ≠ ?3 ≠ ?4 H0: At least two of the population means are equal.Ha: At least two of the population means are different. H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 = ?4 H0: ?1 = ?2 = ?3 = ?4Ha: Not all the population means are equal. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Reject…The table below shows the number of fatal heart attacks in 19 selected European Union countries during 2014 along with the 2014 debt-to-GDP ratios for these countries in 2014. Compare the coefficients of variation and comment on your findings. Country Fatal Heart Attacks 2014* Debt to GDP Ratio** 1 Austria 14,521 225% 2 Belgium 7,792 327% 3 Czech Republic 26,171 128% 4 Denmark 3,943 302% 5 Finland 10,338 238% 6 France 33,513 280% 7 Germany 121,471 188% 8 Greece 12,200 317% 9 Hungary 32,138 225% 10 Ireland 4,283 390% 11 Italy 69,653 259% 12 Netherlands 8,956 325% 13 Poland 38,642 134% 14 Portugal 7,456 358% 15 Romania 50,667 104% 16 Slovakia 13,381 151% 17 Spain 32,564 313% 18 Sweden 12,617 304% 19 United Kingdom 69,325 252%
- 3. 4. The Global Business Travel Association reported the domestic airfare for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. Do not round intermediate calculations. 6. Current Year Previous Year Current Year Previous Year 7. 315 576 510 534 8. 462 264 597 243 9. 276 387 282 288 432 234 648 306 10. 534 465 693 549 273 75 381 522 a. Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period. Ho: Hd Select your answer - ▼ Ha Hd ·Select your answer - ▼ What is the p-value? (to 3 decimals) t-value Degrees of freedom p-value is - Select your answer - Using a 0.05 level of significance, what is your conclusion? v that there has been a significance increase in business travel. airfares over the one- We - Select your answer - year period. b. What is the sample mean domestic airfare for business travel for each year? Current…53. Calculate seasonal index numbers from the following data : RATIO OF OBSERVED TO TREND VALUES (%). Year II IV 2012 108 130 107 93 2013 86 120 110 91 2014 92 118 104 88 2015 78 100 94 78 2016 82 110 98 00 86 2017 X3 If the sales of goods X by a firm in the first quarter of 2018 are worth Rs. 2,00,000, determine how much worth of the goods should be kept in stock by the firm to meet the demand in each of the remaining three quarters of 2018 by using the seasonal index numbers calcuiated above. 106 118 105 98The prices of agricultural commodities for 1946-47 and for the inonth of Dece:mber 1950 are given below along with the value of the output of hese commodities in 1946-47: Value of outptl in million (Rs.) Prices ELIII Commodities Unit 1946-47 (Rs.) Dec. 1950 (Rs.) (1946-47) 13.75 9-70 8364 Rice Wheat Jowar maund таund 13-75 9.70 2207 6:03 8.00 876 maund 466 00 433.00 701 Cotton (raw) Tea Ibs. 1:25 1:75 534 Ibs. Calculate the weighted index mumber of prices of these commodities for December 1950 taking 1946-47 as base.