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An agricultural field trial compares the yields of two varieties of tomatoes for commercial use. The researchers divide in half each of eight small plots of land in different locations and plant each tomato variety on one half of each plot. After harvest. they compare the yields in pounds per plant at each location considering the eight differences (Variety A- Variety B). After conducting the one-sample r test, the tomato experts were not able to reject the null hypothesis. They suspect that the relative lack of significance there is due to low power. They would like to be able to detect a mean difference in yields of 0.3 pound per plant at the 0.05 significance. Use 0.51 as an estimate of both the population standard deviation and the value of the sample standard deviations in future samples. What is the power of the test with n= 10 for the alternative = 0.3? (Use decimal notation. Give your answer to two decimal places.)

An agricultural field trial compares the yields of two varieties of tomatoes for commercial use. The researchers divide in half each of eight small plots of land in different locations and plant each tomato variety on one half of each plot. After harvest. they compare the yields in pounds per plant at each location considering the eight differences (Variety A- Variety B). After conducting the one-sample r test, the tomato experts were not able to reject the null hypothesis. They suspect that the relative lack of significance there is due to low power. They would like to be able to detect a mean difference in yields of 0.3 pound per plant at the 0.05 significance. Use 0.51 as an estimate of both the population standard deviation and the value of the sample standard deviations in future samples. What is the power of the test with n= 10 for the alternative = 0.3? (Use decimal notation. Give your answer to two decimal places.)

MATLAB: An Introduction with Applications
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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An agricultural field trial compares the yields of two varieties of tomatoes for commercial use. The researchers divide in half each of eight small plots of land in different locations and plant each tomato variety on one half of each plot. After harvest. they compare the yields in pounds per plant at each location considering the eight differences (Variety A- Variety B). After conducting the one-sample t test, the tomato experts were not able to reject the null hypothesis. They suspect that the relative lack of significance there is due to low power. They would like to be able to detect a mean difference in yields of 0.3 pound per plant at the 0.05 significance. Use 0.51 as an estimate of both the population standard deviation and the value of the sample standard deviations in future samples. What is the power of the test with n= 10 for the alternative μ = 0.3? (Use decimal notation. Give your answer to two decimal places.) power: %
Transcribed Image Text:An agricultural field trial compares the yields of two varieties of tomatoes for commercial use. The researchers divide in half each of eight small plots of land in different locations and plant each tomato variety on one half of each plot. After harvest. they compare the yields in pounds per plant at each location considering the eight differences (Variety A- Variety B). After conducting the one-sample t test, the tomato experts were not able to reject the null hypothesis. They suspect that the relative lack of significance there is due to low power. They would like to be able to detect a mean difference in yields of 0.3 pound per plant at the 0.05 significance. Use 0.51 as an estimate of both the population standard deviation and the value of the sample standard deviations in future samples. What is the power of the test with n= 10 for the alternative μ = 0.3? (Use decimal notation. Give your answer to two decimal places.) power: %
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