The weights of adult female crocodiles in the Nile River are normally distributed with an unknown mean of pounds and known standard deviation -27 pounds. We wish to create a confidence interval for. We randomly select 16 adult female crocodiles from the Nile River and weigh each one. The sample gave a sample mean of x-631 pounds, and a sample standard deviations-30 pounds. a)What is the critical value for a 94% confidence interval for u? [ b) Create a 94% confidence interval for (D c) How long in pounds is the 94% confidence interval for ? 1). d) How many observations would we need to guarantee that the 94% confidence interval above has a length of 10 pounds or less?
The weights of adult female crocodiles in the Nile River are normally distributed with an unknown mean of pounds and known standard deviation -27 pounds. We wish to create a confidence interval for. We randomly select 16 adult female crocodiles from the Nile River and weigh each one. The sample gave a sample mean of x-631 pounds, and a sample standard deviations-30 pounds. a)What is the critical value for a 94% confidence interval for u? [ b) Create a 94% confidence interval for (D c) How long in pounds is the 94% confidence interval for ? 1). d) How many observations would we need to guarantee that the 94% confidence interval above has a length of 10 pounds or less?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text:The weights of adult female crocodiles in the Nile River are normally distributed with an unknown mean of pounds and known standard deviation = 27 pounds. We wish to create a confidence interval for u. We randomly select 16 adult female crocodiles from the Nile River and weigh each one. The sample gave a sample mean of x = 631
pounds, and a sample standard deviation s = 30 pounds.
a) What is the critical value for a 94% confidence interval for u? |
b) Create a 94% confidence interval for
c) How long in pounds is the 94% confidence interval for u?
d) How many observations would we need to guarantee that the 94% confidence interval above has a length of 10 pounds or less?
e) Create a 94% prediction interval for the weight of a single future randomly chosen male student at this college.
f) Assuming is not known, create a 94.0% confidence interval for using this data.
g) What is the length of the confidence interval for part f?
g) Copy your R script for the above into the text box here.
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