A manufacturer of pharmaccutical products analyzes cach haich of a product to verify the concentration of the active ingrodient. The chemical analysis is not perfectly precise. In fact, repcated mcasurements follow a normal distrihution with mcan oqual to the truc concentration and standard deviation e = 0.0071 grams per liter. Three analyses of one hatch give concentrations of O.K302, O.8994, and 0.9295 grams per liter. To csimate the truc concentration, give a 95% conlidence interval for . STATE: What is the concentration of the active ingrodient in this hatch? PLAN: We will cstimate the truc concentration by giving a 95% confidence interval for the mean e of the distribution. SOLVE: Find the mcan of the measurements. (Einter your answer rounded to four decimal places.) mcan: Determine the bounds of the 95% confidence interval for u. (Enter your answer roumdod to four decimal places.) kower bound: upper hound CONCLUDE: We are 95% conlident that the mcan concentration of the active ingredicnt is between the values for the kower bound and the upper bound.
A manufacturer of pharmaccutical products analyzes cach haich of a product to verify the concentration of the active ingrodient. The chemical analysis is not perfectly precise. In fact, repcated mcasurements follow a normal distrihution with mcan oqual to the truc concentration and standard deviation e = 0.0071 grams per liter. Three analyses of one hatch give concentrations of O.K302, O.8994, and 0.9295 grams per liter. To csimate the truc concentration, give a 95% conlidence interval for . STATE: What is the concentration of the active ingrodient in this hatch? PLAN: We will cstimate the truc concentration by giving a 95% confidence interval for the mean e of the distribution. SOLVE: Find the mcan of the measurements. (Einter your answer rounded to four decimal places.) mcan: Determine the bounds of the 95% confidence interval for u. (Enter your answer roumdod to four decimal places.) kower bound: upper hound CONCLUDE: We are 95% conlident that the mcan concentration of the active ingredicnt is between the values for the kower bound and the upper bound.
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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A manufacturer of pharmaccutical products analyzes cach batch of a product to verify the concentration of the active ingredient.
The chemical analysis is not perfectly precise. In fact, repcaled mcasurements follow a normal distribution with mean e oqual to
the truc concentration and standard deviation o = 0.0071 grams per liter. Three analyses of one balch give concentrations of
0.8302, O.8994, and 0.9295 grams per liter. To estimate the truc concentration, give a 95% conlidence interval for p.
STATE: What is the concentration of the active ingredient in this batch?
PLAN: We will estimale the truc concentration by giving a 95% conlidence interval for the mean e of the distribution.
SOLVE: Find the mean of the measurements. (Enter your answer rounded to four decimal places.)
mean:
Determine the bounds of the 95% confidence interval for u. (Enter your answer rounded to four decimal places.)
kower bound:
upper hound:
CONCLUDE: We are 95% conlident that the mcan concentration of the active ingredicnt is between the valucs for the kower
bound and the upper bound.
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