A city expressway with four lanes in each direction was studied to see whether drivers preferred to drive onthe inside lanes. A total of 1000 automobiles were observed during the heavy early-morning traffic, and theirrespective lanes were recorded. The results are shown in the following table.LaneCount12942276Standard Normal distribution3238Chi-squared distribution with 3 degrees of freedomOt distribution with 3 degrees of freedom.O Chi-squared distribution with 4 degrees of freedom4192To test whether there is sufficient evidence to indicate that some lanes are preferred over others, they testHo P1 P2 P3 = P4 vs. Ha Pi P₁, for some i ‡j, i, j = 1, 2, 3, 4.What is the distribution of the test statistic?Total1000

Given, total sample size (n) = 1000, number of lanes (k) = 4 H0: p1=p2=p3=p4 vs Ha: pi≠pj, i,…

Answered: Lane Count 1 294 2 276 O Standard…

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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The average American gets a haircut every 43 days. Is the average larger for college students? The data below shows the results of a survey of 11 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 38, 37, 38, 45, 53, 55, 35, 37, 35, 41, 38 What can be concluded at the the α = 0.05 level of significance level of significance? For this study, we should use? Select an answer: t-test for a population mean? z-test for a population mean? The null and alternative hypotheses would be: H0:H0? p or μ Select an answer > = ≠ ≤ < ≥ H1:H1? μ or p Select an answer ≠ ≥ > ≤ = < 2. The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = _______ (Please show your answer to 3 decimal places.) The p-value is? > or ≤ α 3. Based on this, we should?? Select an answer reject ? accept ? or fail to reject ?…
68% of statistics Mean 95% of statistics 99.7% of statistics 4 Mean Mean 1 st. 3 st dev 2 st. dev below 2 st dev above 3 st. dev below dev above below above The number of potholes in any given 1-mile stretch of freeway pavement in Pennsylvania has a Normal distribution. This distribution has a mean of 63 potholes, and a standard deviation of 7 potholes. Using the Empirical Rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 56 potholes and 70 potholes? % 4 1 st. dev
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 53 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 53 tons and standard deviation o = 1.3 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 52.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 42 cars chosen at random will have a mean load weight x of less than 52.5 tons of coal? (Round your answer to four decimal places.)
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 70 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 70 tons and standard deviation o = 1.4 ton. n USE SALT (a) What is the probability that one car chosen at random will have less than 69.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 30 cars chosen at random will have a mean load weight x of less than 69.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? O Yes O No Suppose the weight of coal in 30 cars selected at random had an average x of less than 69.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…
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U You “clock" 27 of Caruthers' fastballs, obtaining a mean of 118.7 mph, with a standard deviation of 2.2 mph. To a 1% level of significance, can it be asserted that the average Caruthers fastball (in general) is over 115 mph? JAssume that the “speeds" of all of Caruthers' fastballs are normally distributed.]
Find the normal distribution with a mean of 100 and standard deviation of 15 for questions 5,6,7, and 8
Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 53 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean u = 53 tons and standard deviation = 0.9 ton. USE SALT (a) What is the probability that one car chosen at random will have less than 52.5 tons of coal? (Round your answer to four decimal places.) (b) What is the probability that 29 cars chosen at random will have a mean load weight x of less than 52.5 tons of coal? (Round your answer to four decimal places.) (c) Suppose the weight of coal in one car was less than 52.5 tons. Would that fact make you suspect that the loader had slipped out of adjustment? OYes O No Suppose the weight of coal in 29 cars selected at random had an average x of less than 52.5 tons. Would that fact • make you suspect that the loader had slipped out of adjustment? Why? O Yes, the probability that…
A study was conducted to measure the e ectiveness of hypnotism in reducing pain. Themeasurements are centimeters on a pain scale before and after hypnosis.Assume that the paired sample data are simple random samples and that the di erenceshave a distribution that is approximately normal. Use a 0:10 signi cance level to testthe claim that the the hypnotism is e ective in reducing pain.test statistic = ?1:868431982; p-value = 0:0519584292

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