Researchers at a drug company are testing the duration of a new pain reliever. The drug is normally distributed with a mean duration of 240240 minutes (44 hours) and a standard deviation of 4040 minutes. The drug is administered to a random sample of 1010 people. (Round means, standard deviations, and ?z-scores to the nearest hundredth, if necessary.) What is the population mean? Answer (in minutes)What is the population standard deviation? Answer (in minutes)What is the sample size? Answer Can normal approximation be use for this problem? Answer What is the mean of the sample means? Answer (in minutes)What is the standard deviation of the sample means? Answer What is the probability that the drug will wear off in less than 200200 minutes? What is the z-score? Answer What is the requested probability? ?(?=P(x= Answer Answer )=)= Answer

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Answered: Researchers at a drug company are…

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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Researchers at a drug company are testing the duration of a new pain reliever. The drug is normally distributed with a mean duration of 240240 minutes (44 hours) and a standard deviation of 4040 minutes. The drug is administered to a random sample of 1010 people. (Round means, standard deviations, and ?z-scores to the nearest hundredth, if necessary.)

What is the population mean? Answer

(in minutes)
What is the population standard deviation? Answer

(in minutes)
What is the sample size? Answer
Can normal approximation be use for this problem? Answer
What is the mean of the sample means? Answer

(in minutes)
What is the standard deviation of the sample means? Answer

What is the probability that the drug will wear off in less than 200200 minutes?

What is the z-score? Answer
What is the requested probability? ?(?=P(x= Answer

Answer

)=)= Answer

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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