(On inequal time interval) Obtain the straightline trend equation for the following data by the method of least square. 1989 1991 1992 1993 1994 1995 1998 Year : Sales (in '000 Rs.): 140 144 160 152 168 176 180 Also, estimate the sales for 1996
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- 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?Suppose the linear relationship between traffic violations and auto insurance premium has SSR of 2825 and SST of 3150. What percent of the insurance premium is unexplained by traffic violation?Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7 years and a standard deviation of σ= 1.6 years. Find and graph P25 the replacement time that separates the bottom 25% from the top 75%.
- Suppose that replacement times for washing machines are normally distributed with a mean of μ=8.7 years and a standard deviation of σ=1.6 years. Find P25 the replacement time that separates the bottom 25% from the top 75%Suppose the distributions of arrival and service times were normal instead of exponential. Let the arrival times have a standard deviation of 1 minutes, and the teller service times have a standard deviation of 2 minutes. Make arrival and service rates to be 1 every 6 minutes(arriving) and 1 every 4 minutes(serving). Using simulation, estimate the long-run average number of people that would be in the bank.Consider a grocery store between the hours of 6 and 8pm on a weeknight. Suppose two checkout lanes are typically open, each checkout can handle customers with any number of items, and each checkout has a dedicated employee. It has been observed that checking out takes a mean of 1.5 minutes per customer and that this is approximately normally distributed with a standard deviation of .3 minutes. The mean amount of time between customer arrivals at the checkouts is 1 minute and can be approximated by an exponential distribution. A: Model the scenario where a single queue is used to feed both checkout lanes (similar to the bank example with two tellers). What is the average flow time of a customer? B: Model the scenario where each checkout lane has its own separate queue, and assume that half of the customers go to queue 1 and the rest go to queue 2. What is the average flow time of a customer in this setup? Hint: Split the customer arrivals in half (i.e., double ??) and model just a…
- A professor gives a test worth 150 points and the resulting scores from herclass were found to be normally distributed with a mean of 97 and a standarddeviation of 20. She decides to apply a curve to the exam scores such that anA is +2σ or better, a B is between the +1σ and +2σ, a C is between the meanand +1σ, a D is between -1σ and the mean, and any score less than -1σ getsan F. What score would be needed to get an A? If there were 70 students inher class, by this curved distribution, how many student would she expect tohave an A? (Round to the nearest integer.)Based on the computed descriptive statistics, compare the two distributions in terms of their measures of location and measures of dispersions. On the average, which group of students perform better academically in the previous term? Which group varies more? 1st image are the male students and the 2nd image are the female students.Suppose that the return for a particular investment is normally distributed with a population mean of 10.1% and a population standard deviation of 5.4%. A person must score in the upper 5% of the population on an IQ test to qualify for a particular occupation If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, what score must a person have to qualify for this occupation?
- The waiting time (in minutes) was measured for a random sample of patients with non-life threatening injuries in emergency rooms at four local hospitals who arrived between 2:00 and 3:00pm on a particular Saturday. The results of the ANOVA and the plot of the residuals follow:Using the information in the outputs, is there evidence that the distribution of observations is normal in each hospital's population?A company has found that its profits Y are related to its sales X by the formula Y = 0.2X + 100. If next year’s sales have a Normal distribution with a mean of 7,500 and a variance of 160,000. What is the distribution of next year's profit?Suppose a population of devices has a Weibull life distribution with β= 1.6 and θ= 25. What is the mean of the residual life distribution for copies of the device that survive 15 hours?