Verify that the 5 year weighted moving average weight 1, 2, 2, 1 respectively is equivalent to 4 year centered moving average. Year 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 Sales(K) 5 3 7 6 4 8 9 10 8 9 9
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Verify that the 5 year weighted moving average weight 1, 2, 2, 1 respectively is equivalent to 4 year centered moving average.
| Year | 1994 | 1995 | 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 |
| Sales(K) | 5 | 3 | 7 | 6 | 4 | 8 | 9 | 10 | 8 | 9 | 9 |
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- Compute the symmetric 95% interval estimate for the mean of the quartz monzonite data.Compute the sample mean and the mean assuming the data are lognormal. Which point estimateis more appropriate for these data? Why?Chloride concentration, in mg/LQuartz Monzonite 1.0 0.2 1.2 1.0 0.3 0.10.1 0.4 3.2 0.3 0.4 1.80.9 0.1 0.2 0.3 0.5A nutritionist applies keto diet in a group of twenty individuals. He assumes that keto is designed with the idea of cutting carbohydrates from the food which impacts over the weight of individuals. For the verification of this assumption, he took a group of twenty individuals and kept them on two different diet plans (diet with and without carbohydrates) for a period of 16 weeks each. The weekly normally distributed data of their weight loss given below:Recent studies have shown that Punica granatum (or pomegranate) seeds have germination time that is found to be normally distributed. To verify this, a biologist measured the number of days to germination of 20 random pomegranate seeds. Below shows the data obtained: 15.82 16.69 17.69 18.14 19.38 16.07 16.89 17.98 18.33 19.48 16.49 17.30 18.10 18.50 19.55 16.67 17.67 18.11 19.35 20.66 Using visual inspection with the given histogram and Q-Q Plot below, do the data show evidence that the germination time of pomegranate seeds follows the normal distribution? Explain by interpreting each graph. Figure 1. Histogram Figure 2. Q-Q Plot 2. Using the Wilk-Shapiro Test with R software output given below, do the data show evidence that the germination time of pomegranate seeds follows the normal distribution at ?=1%? Complete the following steps: Shapiro-Wilk…
- A set of observations recorded at a time period like 3- yearly, 5 yearly etc. is taken in the method of ______________. a. Time Series b. Correlation c. Regression d. Standard deviationarea to right of 2.821 under a t-distribution with 9 degrees of freedomAssume that your stock of sales merchandise is maintained based on the forecast demand. If the distributor's sales personnel call on the first day of each month, compute your forecast sales by each of the three methods requested here. ACTUAL June 150 July 190 August 220 a. Using a simple three-month moving average, what is the forecast for September? b. Using a weighted moving average, what is the forecast for September with weights of 0.30, 0.40, and 0.30 for June, July, and August, respectively? c. Using single exponential smoothing and assuming that the forecast for June had been 132, forecast sales for September with a smoothing constant alpha of 0.20.
- Thirty Asian Utility vehicles were tested for biodiesel fuel efficiency (in km/liter). The following frequency distribution was obtained Calculate the exact kurtosis (population) and excess kurtosis of the population (+ interpretation), sample kurtosis for this grouped data.The data in the table characterizes the income distribution for a country. Income category Share of income (%) Cumulative share of income (%) first quintile 7.0 --- second quintile 9.0 16.0 third quintile --- 37.0 fourth quintile 25.0 --- fifth quintile 38.038.0 --- What percentage of the total population is categorized as belonging to the second quintile? Give your responses as whole numbers. Percentage of population in second quintile:__________% What percentage of the total income for the country is earned by the third quintile? Percentage earned by the third quintile:__________% What is the cumulative share of income earned by the poorest 80% of the population? Percentage earned by the poorest 80%:__________%Generate 15 random demands when demand for a particular food item is exponentially distributed with mean 60. Compute the average value of these 15 demands
- A study was conducted in the tidal flat at Polka Point, North Stradbroke Island to examine the distribution of the animals that live with the seagrass Sargassum at different distances from the shoreline. Samples of Sargassum were taken at 5, 10, 15 m from the shore and these were examined for amphipods and isopods. The observations are recorded below. Is the distribution of each of the organisms with regards to the shore the same at all three distances? Use the data below to test the hypothesis at the p < 0.05 level. Clearly state the hypotheses and interpret the results. (Note: Find chi-square for each individual column (amphipods and isopods, not the two together) Distance Amphipods Isopods 5 2 7 10 31 14 15 45 22Table below shows the monthly Sales of JBC Company for the year 2021 Month Sales(In Million Pesos) Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 28.0 27.0 33.0 25.0 34.0 33.0 35.0 30.0 33.0 35.0 27.0 29.0 Using the three month moving average, the mean squares error (Use the period July to December as forecast samples) is: A. 13.3 B. 13.6 C. 12.9 D. 12.81. FIND MEDIAN 2. FIND 25TH AND 75TH PERCENTILE 3. FIND IQR 4. FIND UPPER AND LOWER HINGE 5. OUTSIDE VALUE 6. FAR OUT VALUE 7. UPPER ADJACENT 8. LOWER ADJACENT 105 108 110 113 115 118 120 120 122 25th 124 125 125 126 126 126 128 130 133 139 MEDIAN 152 156 170 172 174 180 182 189 189 75th 190 190 192 194 197 198 206 206 210 212 224 226
