Use the information in Ex 6.32 to find the 95% CI for the population mean LOS. 2. Use the information in Ex 6.32 to find the 95% CI for the population mean LOS.78 1216.31 Do social robots walk or roll? Refer to the Internationalon Social Robotics (Vol. 6414, 2010) study onConferencethe current trend in the design of social robots, Exercise2.78 (p. 86). Recall that in a random sample of social robotsobtained through a Web search, 28 were built with wheels.The accompanying table shows the number of wheels oneach of the 28 robots.ROBOTS24Fidence intervalhe width of this4th of the confidenconfidence internears per gallonare listed in therested in kmilk price for43اباد10 confi-a.Estimate , the average number of wheels used onall social robots built with wheels, with 99% confi-dence. (2.50, 3.93)b. Practically interpret the interval, part a.c. Refer to part a. In repeated sampling, what proportionof all similarly constructed confidence intervals willcontain the true mean, u? 99%3 3 6 4 2 2 2 12 8 2 2 3 4 34 34 4 33 3334 2-BasicSource: Based on S. Chew et al., "Do Social Robots Walk or Roll?" InternationalConference on Social Robotics, Vol. 6414, 2010 (adapted from Figure 2).ach month the 6.32 Hospital length of stay. Health insurers and the federal gov-e Retail Milk Pof milk for sernment are both putting pressure on hospitals to shortenthe average length of stay (LOS) of their patients. The aver-age LOS in the United States is 4.6 days (Healthcare Costand Utilization Project Statistical Brief, December 2018).A random sample of 20 hospitals in one state had a meanLOS of 3.8 days and a standard deviation of 1.2 days.a. Use a 90% confidence interval to estimate the popula-tion mean LOS for the state's hospitals.b. Interpret the interval in terms of this application.c. What is meant by the phrase "90% confidence interval"?6.33 Repair and replacement costs of water pipes. Refer to theIHS Journal of Hydraulic Engineering (September 2012)H20PIPE Study of commercial pipes used in a water distributionnetwork, Exercise 2.124 (p. 106). Of interest was the ratioof repair to replacement cost of the pipe. The ratios for asample of 13 different pipe sizes are listed in the next table.Assume these data represent a random sample selectedfrom all possible types of commercial pipe. A Minitabanalysis of the data follows.Applying6.34 EvapestimpoolsPipinkey coccujdifferpoolpoolforman edevileverepdevsama.b.6.35 OarthBUBBLEASRP

We want to construct a 95% confidence interval for the population mean

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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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Use the information in Ex 6.32 to find the 95% CI for the population mean LOS.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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