Given the following information. Commodities Current year Price (in Rs.) Base year Price (in Rs.) | Weights A 52.0 42.5 30 В 37.5 29.5 40 19.5 21.5 15 D 81.0 88.5 15 Also, EW = 100, E PW = 11489, where P = (P,/P) × 100. An index number for the current year using the method of weighted average of price relatives is : (A) 124. 89 (В) 114.89 (С) 134.89 (D) 144.89.
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- This figure, presents the percentage deviation from the 60:40ratio in the market values of equity of Royal Dutch and Shell between September 1980 andSeptember 1995. 1. What is the main finding of this Figure?2. What is the explanation for the finding?To seethe effect of a relatively small error in the estimate of the amountof carbon-14 in a sample being dated, consider this hypotheticalsituation: A bone fragment found in central Illinois in the year 2000 contains 17% of its original carbon-14 content. Estimate the year the animal died.Suppose you wish to determine whether there are differences in the average prices among 3 major supermarkets. You randomly select 8 regularly bought items, each distinct item of the same brand, and observe their unit prices at each supermarket. The following data were obtained: Is there a need to block the items? Why?What other aspects could be considered that may influence the prices that are being recorded?
- The Substance Abuse and Mental Health Services Administration (SAMHSA, 2017) estimates that 10.9% of the population of the United States age 18–24 had an episode of depression in the previous 12 months. Suppose a researcher takes a random sample of 225 United States adults aged 18–24. Determine the value of the sample proportion, ?̂, such that 5% of samples of 225 United States adults age 18–24 are greater than ?̂. You may find a ?-table useful. Give your answer precise to three decimal places.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b)Find the standard deviation of p. (c)Compute an approximation for P≥p0.0125, which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.Calculate yield rate, reject rate and ppms if ZL = -2.57 and ZU = 3.33. Given: Mean= 14.68, n=30, standard deviation= 0.85, Ucl= 17.5, Lcl= 12.5, Cp= 0.98 and Cpk= 0.86.
- Assuming a loss frequency of a loss occurring once every 2 years and that the average value of losses that occur might be $40,000. Based on the above examples the expected loss is8 The correlation between monthly sales and advertisement cost for a product in 24 sales centers was found to be 0.45. Find the p-value for testing the direct relationship between these two quantities.The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process (due to imperfections in the material used) is 1% . When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a)Find the mean of p, where pis the proportion of defective light bulbs in a sample of 4400when there is no malfunction. (b)Find the standard deviation of p . (c)Compute an approximation for P≥p0.0125 , which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
- For each of the below ACF plots which are obtained for a time series data of 4 different variables of interest: a) Explain the ACF plot. b) Describe what the raw data is likely to look like over time. c) What kind of variable is this plot likely to characterise (e.g., stock prices, exchange rates, temperature, etc.)?. If the standard deviation is calculated from weekly demand data at 100 units, whatis the equivalent sigma for a 3-week lead time?If the lead time increases from 1 to 4 weeks, will the standard deviation of demand during thelead time increase four times? If not, why not?