A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 56specimens and counts the number of seeds in each. Use her sample results (mean = 43.8, standarddeviation = 18.6) to find the 80% confidence interval for the number of seeds for the species. Enteryour answer as an open-interval (i.e., parentheses) accurate to one decimal place (because thesample statistics are reported accurate to one decimal place).80% C.I. =Answer should be obtained without any preliminary rounding.

Answered: A botanist wishes to estimate the…

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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Question

A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 56
specimens and counts the number of seeds in each. Use her sample results (mean = 43.8, standard
deviation = 18.6) to find the 80% confidence interval for the number of seeds for the species. Enter
your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the
sample statistics are reported accurate to one decimal place).
80% C.I. =
Answer should be obtained without any preliminary rounding.

Expert Solution

Step 1

Confidence interval:

It is defined as the range which contains the value of true population parameter. The confidence interval is constructed for various population parameters like population mean, population standard deviation and so on.
The confidence interval can be interpreted as : With a stated level of confidence, it can be said that the true population parameter for which confidence interval is constructed lies with the obtained confidence interval.