6. Consider a coffee shop that uses a single-server queue. The inter-arrival time isexponentially distributed with a mean of 10 minutes and the service time is alsoexponentially distributed with a mean of 8 minutes. Calculate the:(i)mean wait in the queue (2)(ii) mean number in the queue (2)(iii)the mean wait in the system (2)(iv)mean number in the system (2)(v)proportion of time the server is idle. (2)[10]7. The arrival of customers at a bank follows a Poisson distribution with a mean arrivalrate of 10 customers per hour. The service time at the bank follows an exponentialdistribution with a mean service rate of 6 minutes per customer. Calculate theaverage number of customers in the system (including those being served andwaiting) and the average time a customer spends in the system. How is the systemperforming?[8]

The objective of the question is to calculate various parameters of a single-server queue system in…

Answered: 6. Consider a coffee shop that uses a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A man measures his heart rate before using a treadmill and then after walking ona treadmill for 10 minutes on 7 separate days. His mean heart rate at baseline and10 minutes after treadmill walking is 85 and 93 beats per minute (bpm), respectively. The mean change from baseline to 10 minutes is 8 bpm with a standarddeviation of 6 bpm.(a) What test can we use to compare pre- and post-treadmill heart rate?(b) Implement the test in 2a, and report a two-tailedp-value.(c) Provide a 90% confidence interval (CI) for the mean change in heart rate afterusing the treadmill for 10 minutes.(d) What is your overall conclusion concerning the data? this is a review question of ch8 bernard rosner. the solution is not provided at bartleby for this review question
If a set of observations is normally distributed, what percent of these differ from the mean by (a) more than 2.50? (b) less than 0.640?
4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (H = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. a. Which is the correct null hypothesis? O i. Ho: µ = 300 min O ii: Ho: µ = 270 min %3D O ii. Ho: µ < 300 min iv: Ho: µ < 270 min
According to the Empirical Rule, in a Normal Distribution of data you will have percent of the data within 1 standard deviation of the mean, percent of the data within 2 standard deviation of the mean, and percent of the data within 3 standard deviation of the mean.
In a large city, researchers selected a random sample of 120 individuals who have multiple televisions in their house connected to a streaming device. Each individual was asked how many hours of streaming content they watch in a typical week. The sample had a mean of 12.5 hours. For which of the following populations is 12.5 hours a reasonable estimate of the mean hours of weekly streaming content watched? (A) All individuals who regularly watch streaming content (B) All individuals from this city who regularly watch streaming content (C) All individuals from this city with multiple streaming devices in their house (D) All individuals from this city with multiple streaming devices in their house who regularly watch streaming content (E) All 120 individuals in this city with multiple streaming devices in their home who regularly watch streaming content
10) The top point in the scatter plot (6.5, 1459) is for Washington, DC. Find the predicted DC violent crime rate if x=6.5. Then find the residual for DC using the predicted violence crime rate and the actual violent crime rate (the actual crime rate is provided in the first sentence of this question). Prediction = Actual y-value = Residual =
The time spent (in days) waiting for a heart transplant in two states for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph to the right. Complete parts (a) and (b) below. u= 134 0=18.1 What is the shortest time spent waiting for a heart that would still place a patient in the top 30% of waiting times?
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 1 80 Coef. Std. Err. MS 81 206.320988 8.439024 3.049595 -5.219512 2.156389 1459.95122 190.65061 t Number of obs F (1, 80) Prob > F R-squared. Adj R-squared = Root MSE P>|t| 2.77 0.007 -2.42 0.018 82 7.66 0.0070 0.0874 0.0760 13.808 [95% Conf. Interval]…
If the correlation coefficient between hours spent studying and exam performance is -0.24, then what percent of the variability in the hours spent variable is attributable to the exam performance variable? Round to one decimal place.

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