Prove that x has chi-square distribution with four degrees
If X1 and X2 are independent random variables, X1 has a chi-square distribution with 3 degrees of freedom, and X1 + X2 has a chi-square distribution with 7 degrees of freedom. Prove that X2 has a chi-square distribution with 4 degrees of freedom.
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The following data are direct solar intensity measurements (watts/m2) on different days at a location in southern Spain: 562, 869, 708, 775, 775, 704, 809, 856, 655, 806, 878, 909, 918, 558, 768, 870, 918, 940, 946, 661, 820, 898, 935, 952, 957,
The demand values for the 12 months of 2006 for one electrical fixture are presented in Table below. Use exponential smoothing with a smoothing constant of .5 and an initial value of 205 to forecast the demand for January 2007.
Use exponential smoothing with a smoothing constant of .2 and an initial value of 9.29 to forecast the yield for January 2007.
The Hughes Supply Company uses an inventory management method to determine the monthly demands for various products.
If X1 and X2 are independent random variables, X1 has a chi-square distribution with 3 degrees of freedom. Prove that X2 has a chi-square distribution with 4 degrees of freedom.
Calculate all forecasting smoothing methods that you know (naïve, exponential smoothing, 2PMA, 3PMA, and ???) and determine the best method. Rank all the methods starting from the best. Support each method with a graph.
The reaction times for a random sample of 9 subjects to a stimulant were recorded as 2.5, 3.6, 3.1, 4.3, 2.9, 2.3, 2.6, 4.1, and 3.4 seconds. Calculate
Assuming all sex distributions to be equally probable, what proportion of families with exactly six children should be expected to have three boys and three girls?
A maker of a certain brand of low-fat cereal bars claims that their average saturated fat content is 0.5 gram. In a random sample of 8 cereal bars of this brand the saturated fat content was 0.6. 0.7. 0.7. 0.3. 0.4. 0.5, 0.4, and 0.2, would you ag
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