The data below are yields for two different types of corn seed that were used on adjacent plots of land. Assume that the dataare simple random samples and that the differences have a distribution that is approximately normal. Construct a 95%confidence interval estimate of the difference between type 1 and type 2 yields. What does the confidence interval suggestabout farmer Joe's claim that type 1 seed is better than type 2 seed?Турe 1Туpe 22054195620672540221319772254154420381992207224772126192621371442In this example, µg is the mean value of the differences d for the population of all pairs of data, where each individual differenced is defined as the type 1 seed yield minus the type 2 seed yield.The 95% confidence interval is

Let μd be the mean value of difference of type 1 seed yield minus the type 2 seed yield. From the table,The degrees of freedom is, df = n-1=8-1=7 The confidence level is, C = 95%= 95/100= 0.95 The level of significance is, α = 1- C = 1-0.95= 0.05 From t table at 0.05 level of significance with 7 degrees of freedom,the two- tailed critical value is, tα/2 =t(0.05/2,8) =± 2.365 The 95% confidence interval is, The confidence interval is, 4.34≤ μd ≤ 94.41 Here the confidence interval does not include zero , then there is a sufficient evidence to support the Joe's claim. The correct option is, option(D).

Math

Statistics

erval estimate of the difference between typ loe's claim that type 1 seed is better than ty 2054 2038 1956 2067 2540 2213 1992 2072 2477 2126 le, Ha is the mean value of the differences d e. s the type 1 seed yield minus the type 2 see fidence interval is Pri> p decimal places as needed.) ne confidence interval suggest about farmer use the confidence interval includes zero, th use the confidence interval only includes po ence to support farmer Joe's claim. ause the confidence interval includes zero, th

erval estimate of the difference between typ loe's claim that type 1 seed is better than ty 2054 2038 1956 2067 2540 2213 1992 2072 2477 2126 le, Ha is the mean value of the differences d e. s the type 1 seed yield minus the type 2 see fidence interval is Pri> p decimal places as needed.) ne confidence interval suggest about farmer use the confidence interval includes zero, th use the confidence interval only includes po ence to support farmer Joe's claim. ause the confidence interval includes zero, th

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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