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Find the 90% confidence interval for p

Find the 90% confidence interval for p

MATLAB: An Introduction with Applications
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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1. To determine the effect of 100% nitrate on the growth of pea plants, several speci- mens were planted and then watered with 100% nitrate every day. At the end of two weeks, the plants were measured. Here are data on seven of them: 17.5, 14.5, 15.2, 14.0, 17.3, 18.0, 13.8. Assume that these data sampled from normal distribution N(u, o2) where both and ² are unknown. Find the 90% confidence interval for u. (Hint: given o is unknown and sample size is small, use exact method with t distribution.)
Transcribed Image Text:1. To determine the effect of 100% nitrate on the growth of pea plants, several speci- mens were planted and then watered with 100% nitrate every day. At the end of two weeks, the plants were measured. Here are data on seven of them: 17.5, 14.5, 15.2, 14.0, 17.3, 18.0, 13.8. Assume that these data sampled from normal distribution N(u, o2) where both and ² are unknown. Find the 90% confidence interval for u. (Hint: given o is unknown and sample size is small, use exact method with t distribution.)
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Step 1: Mentioning given information

To determine the effect of 100% nitrate on the growth of pea plants, several specimens were planted and then watered with 100% nitrate every day.

At the end of two weeks, the plants were measured. Here are data on seven of them: 17.5, 14.5, 15.2, 14.0, 17.3, 18.0, 13.8. Assume that these data sampled from normal distribution where mean and standard deviation is unknow. 

Confidence level = 90% 

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