Months 1 2 3 14 885 Using exponential smoothing, with a smoothing constant of 0.14, forecast the number of customers for Month 5. (round to nearest whole number) O 779 920 830 Number of Customers O 1005 750 1920 810 1144
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- b) Use exponential smoothing with a smoothing constant of 0.30 to forecast the sales. Assume that last period’s forecast for month 1 is equal to actual to begin the procedure. c. Which method do you think is best? Is this an improvement over the weighted average- use MAD only ?A tubes lifetime for your company's microwave follow an exponential distribution with a mean of 5.6 years. Your sales policy states that each magnetron tube has a two year warranty. What fraction of the tubes should your company plan to replace under warranty?A police station had to deploy police officers for emergencies multiple times the lastfour evenings. The numbers of emergencies for Monday, Tuesday, Wednesday, andThursday were 7, 4, 8, and 11, respectively. What would be the station’s forecast forFriday using an exponential smoothing forecasting approach? Use α = 0.3 and aforecast for Monday of 9.
- The following time series shows the sales of a particular product over the past 6 months. Time (months) Sales (Y) E F 1 100 2 130 3 125 4 105 5 90 6 120 7 8 Use w = 0.2 to compute the exponential smoothing values for the time series. What is the forecast for the next two months? Graph initial and smoothed time series. Does your forecast seem to be reasonable? Explain your answer.The given table shows the rainfall of Gujarat Region. Forecast the rainfall using Exponential Smoothing. Use Alpha =0.2, 0.5 and 0.8. Data is available from 1997 to 2016, use this series for the calculation and forecast the rainfall for the year 2017. To know, what extent the prediction is correct, actual rainfall for 2017 (1024.4 millimeters) is provided. Based on MSE and MAD, find out which alpha values among the three suggestions are relatively near to actual value? SUBDIVISION YEAR ANNUAL (in MM) Gujarat Region 1997 1068.9 Gujarat Region 1998 1070 Gujarat Region 1999 568.4 Gujarat Region 2000 550.6 Gujarat Region 2001 849 Gujarat Region 2002 637.2 Gujarat Region 2003 1160.3 Gujarat Region 2004 1005.8 Gujarat Region 2005 1316.4 Gujarat Region 2006 1478 Gujarat Region 2007 1178.9 Gujarat Region 2008 911.1 Gujarat Region 2009 641.6 Gujarat Region 2010 1088.7…Let X be the TSH level in an individual. It is assumed that X has an exponential distribution with a mean of 3 µIU /mL. A sample of 12 workers from a logging company is taken. If more than half of the individuals in the sample have TSH levels greater than 4.8 µUI /mL, an intervention program is carried out with the total number of workers in the company. How likely is the intervention program to be needed? a) 0,004 b) 0,006 c) 0,086 d) 0,005 e) 0,003
- Terrariums are self-contained ecosystems inside a closed container. A local farmer produces terrariums for sale, but must wait for the plants in the terrarium to grow before she can sell them. On average, her terrariums take 24 days before they are ready to sell. She experiments with a new soil mixture, aiming to decrease the time it takes for the terrariums to be ready. In a sample of 7 terrariums with the new soil mixture, the farmer finds that the average time before they are ready is 20 days with a standard deviation of 3 days. In testing the hypotheses H_0 :μ=24 and Ha:μ<24, what is the value of the t-test statistic? Round your answer to three decimal places. Please show work!!!Alzheimer’s Disease: As baby boomers enter their golden years, the number of people afflicted with Alzheimer’s disease is expected to rise dramatically. In a study published in the Journal of Neurology, the number of people with Alzheimer’s disease in the United States age 65 years and over is projected to be Nt=0.00525t2+0.075t+4.7 0≤t≤4 Million in decade t, where t=0 corresponds to 2010. What is the projected number of people with Alzheimer’s disease in the United States age 65 years and over in 2030? How fast is the number of people with Alzheimer’s disease in the United States age 65 years and over projected to grow in 2030? How fast is the rate of growth of people with Alzheimer’s disease in the United States age 65 years and over projected to change in the period covered in the study?During testing of a certain brand of air purifier, the amount of smoke remaining t min after the start of the test was A(t) = - 0.00006t5 + 0.00468t4 – 0.1316t3 + 1.915t2 – 17.63t + 100 percent of the original amount. Compute A’(16) and A”(16). Round the answers to the nearest thousandth.
- Nominal income refers to an income value that is not adjusted for inflation. Real income adjusts the nominal value for the rate of inflation. Real income per capita is considered a good measure of the buying power of an individual in a particular area because it adjusts for both the number of people in the area and the relative inflation of the area. According to Forbes magazine, the state with the highest annual real income per capita in 2020 is Connecticut with a real per capita income of $68,533. Suppose that the annual real income of individuals in Connecticut follows a normal distribution with a mean of $68,533 and standard deviation of $23,480. (a) What is the probability that an individual in Connecticut has an annual real income of $54,000 or more? (Round your answer to four decimal places.) (b) What is the probability that an individual in Connecticut has an annual real income of $29,000 or less? (Round your answer to four decimal places.) (c) What is the probability…Terrariums are self-contained ecosystems inside a closed container. A local farmer produces terrariums for sale, but must wait for the plants in the terrarium to grow before she can sell them. On average, her terrariums take 30 days before they are ready to sell. She experiments with a new soil mixture, aiming to decrease the time it takes for the terrariums to be ready. In a sample of 12 terrariums with the new soil mixture, the farmer finds that the average time before they are ready is 21 days with a standard deviation of 3 days. in testing the hypotheses H0:μ= 30 and Ha:μ< 30, what is the value of the tt-test statistic? Round your answer to three decimal places.You have collected data on a firm’s sales (in units) for a product line during the past 16 weeks. Using the following forecasting technique, determine the forecast for period 17, 18, 19, and 20?: Additive seasonality (assume 5th month demand to be 240 units
