During the last seven months demand for brown sugar at the store was as given in the following table : Demand (quantity) : Frequency observed : Verify whether the demand for brown sugar is uniformly distributed between 10 and 60 kilograms. Use 0.01 level of significance. A retail store is trying to decide the optimal order quantity for brown sugar. 10 kg 20 kg 30 kg 40 kg 50 kg 60 kg 30 40 30 50 30 30
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- The following data show the results of random sample of 10 batches of one pattern of product: Sample Batch Size X Support Costs Y 1 10 10$ 2 12 15 3 15 20 4 20 22 5 10 15 6 25 25 7 20 30 8 12 10 9 15 20 10 30 30 Calculate: Using High and Low method and predict Variable cost and fixed cost of the above information.Given the following data for demand at Southern Industries Ltd, calculate the forecast forperiods 4-10 using a 3 -period weighted moving average. The weight of 0.5, 0.3 and 0.2are assigned to the most recent period respectively. Determine the MAD, (mean absolutedeviation). Assume the control limit for the tracking signal is ± 5. Is this a good forecast? Period Demand Forecast Error MAD1 742 903 594 915 1406 987 1108 1239 99 10 112Because of high tuition costs at state and private universities, enrollments atcommunity colleges have increased dramatically in recent years. The following data show theenrollment (in thousands) for Jefferson Community College from 2001–2009:Year Period (t) Enrollment (1000s)2001 1 6.52002 2 8.12003 3 8.42004 4 10.22005 5 12.52006 6 13.32007 7 13.72008 8 17.22009 9 18.1Compute F10: the Forecast for 2010. Compute Pearson’s Correlation Coefficient Use the Method of Least Squares to obtain the Best-Fit-Line for this data. Use the line to compute the forecast.
- ABC Company has decided to use 20 test markets to examine the sensitivity of demand for its new product, Hand Sanitizer, to various prices, as shown in the following table. Each market had approximately the same level of business activity and population. Test Market Quantity sold (Thousands of Pens) Price Charged (cent) 1 20 50 2 21 50 3 19 55 4 18 60 5 20 60 6 14 65 7 16 65 8 20 70 9 12 70 10 14 80 11 12 70 12 10 70 13 14 65 14 16 90 15 18 45 16 16 70 17 20 65 18 12 80 19 18 70 20 10 50 Q.1. Using a linear regression model, estimate the demand function for ABC Company’s new product, Hand sanitizer. Q.2. Interpret the coefficient value of the independent variable of the estimated demand function. Q.3. What will be the predicted/estimated sale for each price shown in column 2? Q.4. Find the prediction interval at…Sample data on weekly sales of two dairy products, X and Y were reported as follows: Lilongwe dairy, X 120 100 160 250 180 130 300 40 Long life, Y 70 86 67 100 45 80 90 95 a. Apply the CV, and find out which of the 2 products shows greater fluctuations in sales.A horticulture student is interested on the antifungal properties of three plant species. Leaf extracts from each species were mixed with agar based growth medium and poured into 5 Petri dishes. The Petri dishes were streaked with fungi isolates and the area in sq mm of fungal growth was measured after seven days. Assuming the areas of growth are not normally distributed, which is the most appropriate analysis for the experiment to find difference? A. Kruskal Wallis B. Friedman C. t-test D. sign test
- Suppose there are three fare classes in an airline fares p1 = $300, p2 = $200, and p3 = $100. You want to utilize the EMSR-b heuristic to calculate the protection level for classes 1 and 2 together. The demand distribution for class 1 is Normal with mean 50 and standard deviation 5. The demand distribution for class 2 is Normal with mean 75 and standard deviation 12. What is the price for the virtual class 1-2 under EMSR-b?Q1A) List down the measures of central tendency and measures of dispersion 1) Q1B) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. PLEAS ANSWER Q1&B. THANK YOU.Compute the sum-of-squares error (SSE) by hand for the given set of data and linear model. (6, 6), (7, 7), (9, 10); y = x − 1
- The accompanying dataset shows the monthly number of new car sales in the last two years. Implement the Holt-Winters multiplicative seasonality model with trend. Find the best combination of α, β, and γ to minimize MSE. α=0.2, β=1, γ=0.2; α=0.6, β=0.4, γ=0.6 First find the MSE for each set of values, α, β, and γ. (Round to the nearest whole number as needed.) α β γ MSE 0.2 1 0.2 enter your response here 0.6 0.4 0.6 enter your response here Month Period Units Jan 1 39,808 Feb 2 40,081 Mar 3 47,440 Apr 4 47,297 May 5 49,210 Jun 6 51,479 Jul 7 46,466 Aug 8 45,208 Sep 9 44,801 Oct 10 46,990 Nov 11 42,161 Dec 12 44,187 Jan 13 42,227 Feb 14 45,421 Mar 15 54,076 Apr 16 50,926 May 17 53,572 Jun 18 54,921 Jul…Q1 A) List down the measures of central tendency and measures of dispersion 2) The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of B) which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows. Grade X grade Y 568 570 575 578 584 573 574 575 577 578 requirement. a) for each of the tow grades of tries, compute the mwan, median, and standred deviation. b) which grade of tire providing better quality? explain. c) what would be the effect on your answer in (a) and (b) if the last value for grade Y were 588 insert 578 explain. C) The file contins the overall miles per gallon (MPG) OF 2010 family sedan: 24 21 22 23 24 34 34 34 20 20 22 22 44 32 20 20 22 20 39 20 Source:…Here is a dataset containing plant growth measurements of plants grown in solutions of commonly-found chemicals in roadway runoff.Phragmites australis, a fast-growing non-native grass common to roadsides and disturbed wetlands of Tidewater Virginia, was grown in a greenhouse and watered with either: Distilled water (control); A weak petroleum solution (representing standard roadway runoff); Sodium chloride solution; Magnesium chloride solution; De-icing brine (50% sodium chloride and 50% magnesium chloride).Twenty grass preparations were used for each solution, and total growth (in cm) was recorded after watering every other day for 40 days.-Perform the correct statistical test to determine the p-value.-Report your answer rounded to four decimal places.-You should use formulas, functions, and the Data Analysis ToolPak in MS Excel to avoid additive rounding errors. Here are some useful functions: =t.test(array1,array2,tails,type) Produces a p-value for any…