ne diameter of two-year-old Harum Manis trees is normally distributed ith a standard deviation of 8 cm. How many trees should be sampled if re want to estimate the mean diameter of all Harum Manis trees is within .5 cm and with a 95% confidence level?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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a) The diameter of two-year-old Harum Manis trees is normally distributed
with a standard deviation of 8 cm. How many trees should be sampled if
we want to estimate the mean diameter of all Harum Manis trees is within
1.5 cm and with a 95% confidence level?
b) A lecturer wishes to estimate the percentage of students who pass
Mathematics in semester 2. He wants to be 95% confident and be
accurate within 3% of the true proportion. How large sample size would be
necessary if the sample proportion of students who passed p = 0.5?
%3D
Ans:
a) 110 trees
b) 1067 students
Transcribed Image Text:a) The diameter of two-year-old Harum Manis trees is normally distributed with a standard deviation of 8 cm. How many trees should be sampled if we want to estimate the mean diameter of all Harum Manis trees is within 1.5 cm and with a 95% confidence level? b) A lecturer wishes to estimate the percentage of students who pass Mathematics in semester 2. He wants to be 95% confident and be accurate within 3% of the true proportion. How large sample size would be necessary if the sample proportion of students who passed p = 0.5? %3D Ans: a) 110 trees b) 1067 students
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