(b)Everyday, thousands of people at the airport pass through on one of twosecurity gates: Gate A or Gate B. Suppose that, on average it takes people 26minutes to pass through Gate A with a standard deviation of 7.5 minutes. ForGate B, the mean and standard deviation are 24 and 4 minutes, respectively.Given that 100 random samples of people of each gate are taken.(i)Find the probability that mean passing time Gate A is slower than themean passing time through Gate B.(ii)If 10 people are selected at random, find the probability that thepassing time Gate A will be faster than passing time Gate B at least 3minutes.How did the variance of sampling distribution of X change when thenumber of passenger at the airport increased?(iii)

Let X be a random variable that denotes the number of people passes through gate A. Let Y be another…

Answered: (b) Everyday, thousands of people at…

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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According to the historical data, the life expectancy in the United States is less than or equal to the life expectancy in Ireland. A new study has been made to see whether this has changed. Records of 235 individuals from the United States who died recently are selected at random. The 235 individuals lived an average of 77.6 years with a standard deviation of 6.7 years. Records of 220 individuals from Ireland who died recently are selected at random and independently. The 220 individuals lived an average of 76.3 years with a standard deviation of 5.5 years. Assume that the population standard deviations of the life expectancies can be estimated by the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.1 level of significance, is there enough evidence to support the claim that the life expectancy, u,, in the United States is greater than the life expectancy, µ, in Ireland? Perform a one-tailed test. Then fill in the table below. Carry…
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