a) Calculate the mean, the standard deviation and the coefficient of variation for interarrival and service times, and the utilization rate b) Determine the expected waiting and processing time.
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a) Calculate the mean, the standard deviation and the coefficient of variation for interarrival and service times, and the utilization rate
b) Determine the expected waiting and processing time.
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- The World Bank Group suggests that a minimum of 6 GB of internet data per month per user is needed for online activities to ensure better life quality (accessing news, health and educational information, social media, and other online activities). Considering the costs and poor internet connectivity, a researcher wanted to estimate the mean monthly data consumption of students in rural areas. She calculated a mean of 3.4 GB of monthly data from a random sample of 25 students. • Sub ● daia (GB) are normally disipe eviation of Complete the statement: If we consider all possible samples of the same size and a 95% confidence interval is obtained from each sample, ther ✓ [Select] Neither A nor B A. 95% of these intervals would contain 3.4 GB. Both A and B B. 5% of these intervals would not contain the true mean monthly data of studentsThe National Center for Health Statistics (NICH) published a report entitled Health, Pakistan, containing extensive information on major trends in the health of Pakistanis. Data are provided for the Pak population as a whole and for specific ages, sexes and races. The NICH report indicated that in 2012 Pakistanis paid an average of Rs.3,302 per month on health care and prescription drugs. An investigator hypothesizes that in 2015 expenditures have increases primarily due to the availability of generic drugs. To test the hypothesis, samples of 100 Pakistanis are selected and their expenditures on health care and prescription drugs in 2015 are measured. The sample data are summarized as follows: n=100, R =Rs3,390 and s=Rs890. Is there statistical evidence of increased in expenditures on health care and prescription drugs in 2015? Is the sample mean of Rs.3,390 evidence of a true increase in the mean or is it within chance fluctuation?The best depiction of a population characteristic is a(an): Dependent variable Statistic Independent variable Parameter
- A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 178 lb and a standard deviation or 32 lb. You need to design an elevator that will safely carry 18 people. Assuming a worst case scenario of 18 male passengers, find the maximum total allowable weight if we want a 0.995 probability that this maximum will not be exceeded when 18 males are randomly selected.maximum weight = -lb Round to the nearest pound.Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.956 g and a standard deviation of 0.302 g. The company that produces these cigarettes claims that it has now reduced the amount of…The actual monthly demand of special pizza in the past 6 months were: 449, 352, 413, 348, 290, 352 If a four-month moving average forecasting model is used to generate forecasts, what is the value of the Mean Absolute Percent Error (in percent)? Use at least 4 decimals.The World Bank Group suggests that a minimum of 6 GB of internet data per month per user is needed for online activities to ensure better life quality (accessing news, health and educational information, social media, and other online activities). Considering the costs and poor internet connectivity, a researcher wanted to estimate the mean monthly data consumption of students in rural areas. She calculated a mean of 3.4 GB of monthly data from a random sample of 25 students. • Sub ● daia (GB) are normally disipe eviation of Complete the statement: If we consider all possible samples of the same size and a 95% confidence interval is obtained from each sample, ther ✓ [Select] Neither A nor B A. 95% of these intervals would contain 3.4 GB. Both A and B B. 5% of these intervals would not contain the true mean monthly data of students
- Consider data on every game played by the Brooklyn Nets in 2014 (82 games) that includes the variables margin, - the Net's margin of victory (number of points the Nets scored minus the number of points their opponent scored) for game i, and • home; - a dummy variable equal to 1 when the Nets are the home team (game i was played in their home arena) and equal to 0 when they are the away team (game i was played in the opponent's arena). I use the least-squares method to estimate the following regression model margin = a + ßhome; + ei Below is the Stata output corresponding to the estimated regression line: regress margin home if team===== "Brooklyn Nets" . Source Model Residual Total margin home _cons SS 1459.95122 15252.0488 16712 df 1459.95122 1 80 190.65061 None of the above 81 206.320988 Coef. Std. Err. 8.439024 3.049595 -5.219512 2.156389 MS t Number of obs F(1, 80) Prob > F R-squared O The Nets lost more games than they won in 2014 P>|t| 2.77 0.007 -2.42 0.018 Adj R-squared = Root…. A process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. i. The mean of the sample is clearly not the required 800 mm. Say why this is not enough information in itself to say if the machine is operating correctly or not. ii. State the null and alternative hypotheses for this situation.An industrial oil heater is tested by its ability to heat up a large room on a cold day and in particular, the rate at which it reaches a desired average temperature. The size of the room and the room temperature prior to switching on the heater were identified as two important factors of the rate at which the average room temperature increases. The experiment was replicated 3 times for each combination. The time (in minutes) till an average temperature increase of 10°C was measured is tabulated below: Factor B Large Classroom (200m2) Large Auditorium (400m2) (1) Treatment Combination (2) Factor A 7°C (1) 8,9,8 22,18,21 12°C (2) 9,10,12 19,29,25 Let factor A be the initial temperature and factor B be size of the room.
- Use a chi-square test for independence to compare the proportion of males and females (sex) that indicate that they have a sleep problem (problem). ²critical= ²calculated = Decision = Report results:2A process that cuts lengths of metal with high precision has historically produced metal rods with length that is normally distributed and with a mean of 800 millimetres (mm). Management at the factory is concerned that after an overhaul of the machine the mean length of the rods being produced could differ from the required 800 mm. If it is found that the rods are not being produced to specifications then the machine will have to be stopped for readjustment, with a consequent loss of production. The production line manager tasked with investigating the issue finds that a (random) sample of 25 rods yielded a mean length of 806 mm and a sample standard deviation of 10 mm. Use the Excel macro provided this session to test the hypotheses you have stated above using a 5% level of significance. You must show the Excel output and draw a conclusion from relevant values in the output.