A biologist has been collecting data on the heights of a particular species of hibiscus. The height of the hibiscus follows a Normal distribution with mean 160 cm and standard deviation 15 cm. (a) 10.93% of the hibiscus have height that are shorter than k. Find the value of k. (b) If there are 40 hibiscuses, find the 95% confidence interval estimate for the mean height. Give an interpretation.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A biologist has been collecting data on the heights of a particular
species of hibiscus. The height of the hibiscus follows a Normal
distribution with mean 160 cm and standard deviation 15 cm.
(a) 10.93% of the hibiscus have height that are shorter than k.
Find the value of k.
(b) If there are 40 hibiscuses, find the 95% confidence interval estimate
for the mean height. Give an interpretation.
Transcribed Image Text:A biologist has been collecting data on the heights of a particular species of hibiscus. The height of the hibiscus follows a Normal distribution with mean 160 cm and standard deviation 15 cm. (a) 10.93% of the hibiscus have height that are shorter than k. Find the value of k. (b) If there are 40 hibiscuses, find the 95% confidence interval estimate for the mean height. Give an interpretation.
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