h) Copy your R script for the above into the text box here.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The price that watermelon farmers get for their watermelons has a normal distribution with unknown mean of dollars per hundred pounds and known standard deviation σ =
$1.92 per hundred 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/her watermelons. The sample mean was x = $6.88 per hundred pounds of 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 u
c) 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?
h) Copy your R script for the above into the text box here.
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