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 in the critical region and we reject the null hypothesis. 3.How do you conclude here based on problem 2 above? A. At 5% level, the two varieties of lettuce have exactly the same average weight. B. At 5% level, the two varieties of lettuce do not have significantly different average weight. C. At 5% level, the two varieties of lettuce have significantly different average weight. D. At 5% level, one variety of lettuce has significantly higher average weight
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 in the critical region and we reject the null hypothesis. 3.How do you conclude here based on problem 2 above? A. At 5% level, the two varieties of lettuce have exactly the same average weight. B. At 5% level, the two varieties of lettuce do not have significantly different average weight. C. At 5% level, the two varieties of lettuce have significantly different average weight. D. At 5% level, one variety of lettuce has significantly higher average weight
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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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 in the critical region and we reject the null hypothesis.
3.How do you conclude here based on problem 2 above?
A. At 5% level, the two varieties of lettuce have exactly the same average weight.
B. At 5% level, the two varieties of lettuce do not have significantly different average weight.
C. At 5% level, the two varieties of lettuce have significantly different average weight.
D. At 5% level, one variety of lettuce has significantly higher average weight.
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