You wish to determine which of two brands of TVs is moreexpensive. You conduct the following sample, which suggeststhat Orion TVs are more expensive:Orion: ā = $318, sª =12.6, п — 30Luna: ā =$313, 8z =15.1, n = 25Define your variable:O Let p be the proprotion Orion TVs in the sample that costmore than Luna TVs.OLet u be the mean price of TVs, in dollarsLet mu the mean price of Orion TVs, in dollars.Let u be the mean price of sampled TVs, in dollars.Write your hypotheses: Be sure to chose Group 1 to have thelarger sample mean.Но:Opi – P2 = 0O pi – P2 = 318 – 313Ο μ-μ 5µi - µ2 = 0HA:Hi – µ2 > 0O ui – u2 < 0µi – µ2 = 5Opi -- P2 = 318 – 313 Find the P-value: Type your answer as a decimial rounded tothree decimal places. Do not type a percentage or a percentsign.P-value=Using an a level of 5%, you shouldO Fail to Reject HoReject H, and Accept HAO Accept HoState your conclusions:Wedodo nothave strong evidence that thethe proportion of Luna TVs that are expensive is more thanthe proportion of Orion TVs that are expensive.O the mean price of sampled Orion TVs is more than the meanprice of sampled Luna TVs.the mean price of Orion TVs is more than the mean price ofLuna TVs.the mean price of Luna TVs is more than the mean price ofOrion TVs.Othe proportion of Orion TVs that are expensive is more thanthe proportion of Luna TVs.You would rather purchase an Orion TV, but only if you areconvinced that they are not more expensive than Luna TVs.Based on your results above, would you bother looking intopricing Orion TVs?YesO No

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Answered: Define your variable: O Let p be the…

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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Two popular brands of tires for tractor-trailers are the Puma and the Eternal. Salma is a buyer for a major shipping company and wants to determine if there is any difference between the two brands of tire in the mean distance (in thousands of km) driven on them before they need to be replaced. In the company's testing lab, Salma tests a random sample of 14 Puma tires and a random sample of 15 Eternal tires. (These samples are chosen independently.) For the Puma tires, the sample mean distance (in thousands of km) until they would need to be replaced is 54.71 with a sample variance of 5.95. For the Eternal tires, the sample mean distance (in km) until they would need to be replaced is 50.21 with a sample variance of 37.75. Assume that the two populations of distances driven are approximately normally distributed. Can Salma conclude, at the 0.05 level of significance, that there is a difference between the population mean of the distances (in thousands of km) driven on Puma tires before…
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An athletic shoemaker wants to test if their new running shoe specially made for sprinting is better than the competition. To do this, they recruit 35 NCAA sprinters and time their 100-meter dash wearing the company's shoe and then time their 100-meter dash again wearing the competitor’s shoe. The difference of these times is then calculated asTimecompany.shoe−Timecompetitor.shoe. The sample mean difference in times is 0.53 seconds and the sample standard deviation is 1.1. Conduct a hypothesis test at theα=0.1 level. (a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpret them in the context of the problem) (b) Calculate the test statistic (c) Calculate the critical value. (d) Draw a picture of the distribution of the test statistic underH0. Label and provide values for the critical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at theα= 0.15 level and state your conclusions in the…
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