Problem #1: A sample of 23 vehicles is outfitted with snow tires. The vehicles travel 77 km/h in winter driving conditions andapply the brakes. The sample mean and standard deviation of stopping distances for these 23 vehicles arecalculated to be 166 metres and 32 metres, respectively. We would like to test whether the true mean stoppingdistance differs from 159 metres. Assuming stopping distances are normally distributed, at the 1% level ofsignificance, we should:Problem #1:(A) Fail to reject Ho since the p-value is 0.29414. (B) Fail to reject Ho since the p-value is 0.15276.(C) Reject Ho since the p-value is 0.29414. (D) Reject Ho since the p-value is 0.30553.(E) Fail to reject Ho since the p-value is 0.30553. (F) Reject Ho since the p-value is 0.15276.(G) Fail to reject Ho since the p-value is 0.14707. (H) Reject Ho since the p-value is 0.14707.Select v

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Answered: roblem #1: A sample of 23 vehicles is…

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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Has the number of shoppers who wear masks changed from 2020 to 2021? There are arguments for and against this question. The mean number of masks, u, used by a shopper in Metropolis in 2020 will be compared to the mean number of masks, Hy used by a shopper in Metropolis in 2021. The true values of u, and u, are unknown. It is recognized that the true standard deviations are o, = 19 for the 2020 measurements and o, = 24 for the 2021 measurements. We take a random sample of m = 255 shoppers in 2020 and a random sample of n = 200 shoppers in 2021. The mean number of masks were x= 97 for 2020 and y= 85 for 2021. Assuming independence between the years and assuming masks used by shoppers are normally distributed we would like to estimate x - Hy. What is the standard deviation of the distribution of x? What is the standard deviation of the distribution of x - y? Create a 95% confidence interval for uy - Hy ? ) What is the length of the confidence interval in part c) ? If we let n stay at 200…
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light examined data on employment and answered questions regarding why workers separate from their employes. According to the article, the standard deviation of the length of time that women with one job are employed during the first 8 years of their career is 92 weeks. Length of time employed during the first 8 years of career is a left skewed variable. For that variable, do the following tasks. A. determine the sampling distribution of the sample mean for simple random samples of 50 women with one job. Explain your reasoning B. Obtain the probability that the sampling error made in estimating the mean length of time employed by all women with one job by that of a random sample of 50 such women will be at most 20 weeks
1. The strength of steel wire made by an existing process is normally distributed with a mean of 1550 and a standard deviation of 170. A batch of wire is made by a new process, and a random sample consisting of 25 measurements gives an average strength of 1316. Assume that the standard deviation does not change. Is there evidence at the 1% level of significance that the new process gives a larger mean strength than the old? To answer this question, the null hypothesis could be stated as A. μ= 1550 psi B. μ> 1550 psi C.µ + 1550 psi D. μ< 1550 psi
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