MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Given this already solved problem, how could you determine whether homogeneity of variance is satisfied for this analysis, and be clear on how you decided this.
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- A production engineer wants to determine if two assembly lines are producing the same mean number of units To test this: a sample of 10 days on line A reveals a mean of 110 units with a variance of 200 a sample of 15 days on line B reveals a mean of 100 units with a variance of 150. 1. Set up hypotheses and perform the appropriate test to resolve this question. Fully interpret your results.arrow_forwardPlease answer all the questions.arrow_forwardProfessor Hayashi has implemented a new book for his Fall 2013 statistics course. He wants to see if the new book has an effect on the exam average for Exam 3. He knows that the Exam 3 mean for all students who have taken his statistic course over the past 10 years is 77.2. He collects some data from a sample of 9 students and finds that the Exam 3 mean for his Fall 2013 statistics students is 81.7 with a variance of 32.49.Measure effect size using Cohen's D.arrow_forward
- an operation manager at an electronic company wants to test their amplifiers. the design engineer claims they have a mean output of 482 watts with a variance of 121. what is the propbability that the mean amplifier output would be greater than 479.4 watts in a sample of 59 amplifiers if the claim is true? round your asnwer to four decimal places.arrow_forwardYou may need to use the appropriate technology to answer this question. Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 36 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 12 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 12,620; SSTR = 4,520. (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Sum Source of Variation Degrees Mean Square F of Squares of Freedom p-value Treatments Error Total (b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. O Hg ² H₂ # H₂ # Hz H₂H₂ = H₂ = H₂ ⒸH₁…arrow_forwardAn analysis of variances produces dftotal = 35 and dfwithin = 32. For this analysis, what is dfbetween?arrow_forward
- A teacher is interested in assessing whether or not there is the same amount of variance in the scores of a particular type of test between male and female students. She believes that the variance for girls is higher than it is for boys. After grading the test she measures the following: In her class, 15 boys had a variance of 460 and 13 girls had a variance of 1,400. Set up hypotheses to test if the teacher’s assumption that the girls’ variance of scores on the test is higher than the boys’ variance. Perform the appropriate test and fully state your results.arrow_forwardHow are you able to get the standard variance from a TI-83 calculator?arrow_forwardThe next test is a t-test for unequal variance. Here is the problem: The human resources department at Sue, Grabitt, and Runne also tracks the cost of one-bedroom apartments in two popular neighborhoods, NoBo and SoBo. The general perception of long-time residents is that rents are probably lower in SoBo. They hope to determine whether the average rent for a one-bedroom apartment is lower in SoBo than in NoBo. The results of their survey are shown in Tables 18 and 19: Step 2. Select the Level of Significance, α A 5 percent significance has been selected. Step 3. State the Null Hypothesis (H0) and Alternate Hypothesis (H1) H0: H1: Step 4. Compose the Decision Rule Step 5. Calculate the Value of the Test Statistic, p-value, and estimate statistical power Use G*Power to calculate statistical powerarrow_forward
- Researchers at UT Austin noticed that the seagrass beds in Corpus Cristi Bay (CCB) were taller and thicker than those in Lower Laguna Madre (LLM). They compared the sediment ammonium concentration, in the two locations. Following are the summary statistics on sediment ammonium concentration, in micromoles, obtained by the researchers. Equality of variances is not assumed. CCB: X₁ 115.1, s₁= 79.4, n₁ = 51 LLM: X₂ = 24.3, S₂ 10.5, n₂: 19 = a. At the 1% significance level, is there sufficient evidence to conclude that the mean sediment ammonium concentration in CCB exceeds that in LLM? b. Determine a 98% confidence interval for the difference μ1-µ2, between the mean sediment ammonium concentrations in CCB and LLM. Interpret your answer in (a) in words. c. Do the results in (a) and (b) provide the consistent results? Explain.arrow_forwardSuppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 2.4 seconds; what is the variance of the distribution?arrow_forwardAn analysis of variances produces dftotal = 35 and dfwithin = 28. For this analysis, what is dfbetween? Round your answer to the nearest whole number.arrow_forward
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