Test the claim that the mean GPA of Orange Coast students is smaller than the mean GPA of Coastlinestudents at the 0.01 significance level.The null and alternative hypothesis would be:Ho:Po = Pc Ho:Po > Pc Ho:µ0 < µc Ho:4o 2 µc Ho:Po < Pc Ho:HOH1:po + Pc H1:Po < Pc H1: 40 > µc H1: Ho < HC H1:po > Pc H1:µo + HCThe test is:two-tailed left-tailed right-tailedThe sample consisted of 55 Orange Coast students, with a sample mean GPA of 3.46 and a standarddeviation of 0.08, and 55 Coastline students, with a sample mean GPA of 3.49 and a standard deviation of0.07.The test statistic is:(to 2 decimals)The p-value is:(to 2 decimals)Based on this we:O Fail to reject the null hypothesisReject the null hypothesis

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Answered: Test the claim that the mean GPA of…

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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We wish to conduct a hypotheses test of the form H0: μ1 - μ2 = 0 vs H0: μ1 - μ2 < 0 Both populations are assumed normal with equal variance. We draw 10 observations for the first sample and 20 observations for the second sample. State the decision rule for the test if the level of significance is 0.05.
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22. Researchers investigated whether a new process for producing yarn could reduce the mean amount of volatile organic compounds (VOCS) emitted by carpet. From random samples of carpets, the researchers found the mean reduction of VOCS emitted by carpets made with yarn produced by the new process compared with that of carpets made with yarn produced by the traditional process was 13 parts per million (ppm). All conditions for inference were met, and the p-value for the appropriate hypothesis test was 0.095. Which of the following statements is the best interpretation of the p-value? (A) The probability that the null hypothesis is true is 0.095. (B) The probability that the alternative hypothesis is true is 0.095. (C) The probability of observing a mean reduction of 13 ppm is 0.095. (D) If the null hypothesis is true, the probability of observing a mean reduction of at least 13 ppm is 0.095. (E) If the null hypothesis is true, the probability of observing a mean reduction of at most 13…
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