Only solve exercise C)In the other image, this is the correct answer, (just to check) c) 95% level of confidence, E = 1, and zes =1.96국(o.어) 0.5+1.2) =10.37,Use n, - na - 11 10-7. + Two different formulations of an oxygenated motorfuel are being tested to study their road octane numbers. Thevariance of road octane number for formulation 1 is of = 1.5,and for formulation, 2 it is o = 1.2. Two random samples of sizen = 15 and n = 20 are tested, and the mean road octane num-bers observed are x¡ = 89.6 and x = 92.5. Assume normality.(a) If formulation 2 produces a higher road octane numberthan formulation 1, the manufacturer would like to detectit. Formulate and test an appropriate hypothesis usinga = 0.05. What is the P-value?(b) Explain how the question in part (a) could be answeredwith a 95% confidence interval on the difference in meanroad octane number.(c) What sample size would be required in each popula-tion if you wanted to be 95% confident that the error inestimating the difference in mean road octane number isless than 1?

The variance for population 1 is 1.5, and variance for population 2 is 1.2. The margin of error is…

Answered: (c) What sample size would be required…

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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Suppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% andy1 =60, y2 =120, y3 =80. Findthelineofbestfity=α+βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%
Suppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% and y1 = 60, y2 = 120, y3 = 80. Find the line of best fit y = α + βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%?x y x2 y2 xy 2.3% 60 - 120 7.6% 0.1% 80
If the null hypothesis Ho : mean = 17.0 is rejected at alpha = 0.01 when a mean of 21.0 is obtained from a random sample, ?
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1. The sample mean weights for two varieties of lettuce grown for 16 days in a controlled environment are 3.259 and 1.413 and the corresponding sample standard deviations are .400 and .220. If the sample sizes for the two varieties are 9 and 6 respectively, what would be the pair of hypotheses to test if the two varieties of lettuce have the same average weight? (Given: weight of each variety of lettuce is normally distributed). A. H0: μ1 ≠ μ2 vs H1: μ1 = μ2 B. H0: μ1 = μ2 vs H1: μ1 ≠ μ2 C. H0: μ1 > μ2 vs H1: μ1 ≤ μ2 D. H0: μ1 ≤ μ2 vs H1: μ1 > μ2 2. At 5% level, what are the critical values for testing equality of mean weights in problem 1? A. 2.18 B. -2.18 and 2.18 C. -1.78 D.-1.78 and 1.78 3.What is the best decision using critical value approach in problem 1? A. The computed test statistic falls in the critical region and we do not reject the null hypothesis. B. The computed test statistic does not fall in the critical…
1. The sample mean weights for two varieties of lettuce grown for 16 days in a controlled environment are 3.259 and 1.413 and the corresponding sample standard deviations are .400 and .220. If the sample sizes for the two varieties are 9 and 6 respectively, what would be the pair of hypotheses to test if the two varieties of lettuce have the same average weight? (Given: weight of each variety of lettuce is normally distributed). A. H0: μ1 ≠ μ2 vs H1: μ1 = μ2 B. H0: μ1 = μ2 vs H1: μ1 ≠ μ2 C. H0: μ1 > μ2 vs H1: μ1 ≤ μ2 D. H0: μ1 ≤ μ2 vs H1: μ1 > μ2 2.What would be the degree of freedom for the test statistic in problem 1? A. 6 B. 9 C. 12.7 D. 14 3. What would be the computed test statistic in problem 1? A. 2.93 B. 3.57 C. 8.44 D. 11.48
1. The sample mean weights for two varieties of lettuce grown for 16 days in a controlled environment are 3.259 and 1.413 and the corresponding sample standard deviations are .400 and .220. If the sample sizes for the two varieties are 9 and 6 respectively, what would be the pair of hypotheses to test if the two varieties of lettuce have the same average weight? (Given: weight of each variety of lettuce is normally distributed). A. H0: μ1 ≠ μ2 vs H1: μ1 = μ2 B. H0: μ1 = μ2 vs H1: μ1 ≠ μ2 C. H0: μ1 > μ2 vs H1: μ1 ≤ μ2 D. H0: μ1 ≤ μ2 vs H1: μ1 > μ2 2. What is the best decision using critical value approach in problem 1? A. The computed test statistic falls in the critical region and we do not reject the null hypothesis. B. The computed test statistic does not fall in the critical region and we do not reject the null hypothesis. C. The computed test statistic falls in the critical region and we reject the null hypothesis. D.The computed…
1. The sample mean weights for two varieties of lettuce grown for 16 days in a controlled environment are 3.259 and 1.413 and the corresponding sample standard deviations are .400 and .220. If the sample sizes for the two varieties are 9 and 6 respectively, what would be the pair of hypotheses to test if the two varieties of lettuce have the same average weight? (Given: weight of each variety of lettuce is normally distributed). A. H0: μ1 ≠ μ2 vs H1: μ1 = μ2 B. H0: μ1 = μ2 vs H1: μ1 ≠ μ2 C.H0: μ1 > μ2 vs H1: μ1 ≤ μ2 D. H0: μ1 ≤ μ2 vs H1: μ1 > μ2 2. What is the best decision using critical value approach in problem 1? A. The computed test statistic falls in the critical region and we do not reject the null hypothesis. B. The computed test statistic does not fall in the critical region and we do not reject the null hypothesis. C. The computed test statistic falls in the critical region and we reject the null hypothesis. D. The computed test statistic does not fall…
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(c) What sample size would be required in each popula- tion if you wanted to be 95% confident that the error in estimating the difference in mean road octane number is less than 1?