The price that watermelon farmers get for their watermelons has a normal distribution with unknown mean of u dollars per hundred pounds and known standard deviation = $1.92 perhundred pounds. We wish to create a confidence interval for u. We randomly select 20 watermelon farmers and measure the price per hundred pounds x; that each farmer gets for his/herwatermelons. The sample mean was x = $6.88 per hundred pounds watermelon and the sample standard deviation was s = $1.37 per hundred pounds.a)What is the critical value for a 95% confidence interval for u?b) Create a 95% confidence interval for uc) How long is the 95% confidence interval for μ?d) How many observations would we need to guarantee that the 95% confidence interval above has a length of 0.8 or less?e) Create a 95% prediction interval for using this data.f) Assuming σ is not known, create a 95.0% confidence interval for using this data.g. What is the length of the confidence interval for part f?

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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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