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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 240 minutes (4 hours) and a standard deviation of 40 minutes. The drug is administered to a random sample of 10 people. (Round means, standard deviations, and z-scores to the nearest hundredth, if necessary.) 1. What is the population mean? 240 (in minutes) 2. What is the population standard deviation? 40 (in minutes) 3. What is the sample size? 10 4. Can normal approximation be use for this problem? Yes, it is given that the population distribution is normally distributed. 5. What is the mean of the sample means? 240 (in minutes) 6. What is the standard deviation of the sample means? 12.65 What is the probability that the drug will wear off in less than 200 minutes? 1. What is the z-score? 2. What is the requested probability? P(x = < ÷ v x )= What is the probability that the drug will wear off after 220 minutes? 1. What is the z-score? 2. What is the requested probability? P(x = < + x x )= What is the probability that the drug will wear off between 200 and 220 minutes? 1. P(200 < x < 220) :

Researchers at a drug company are testing the duration of a new pain reliever. The drug is normally distributed with a mean duration of 240 minutes (4 hours) and a standard deviation of 40 minutes. The drug is administered to a random sample of 10 people. (Round means, standard deviations, and z-scores to the nearest hundredth, if necessary.) 1. What is the population mean? 240 (in minutes) 2. What is the population standard deviation? 40 (in minutes) 3. What is the sample size? 10 4. Can normal approximation be use for this problem? Yes, it is given that the population distribution is normally distributed. 5. What is the mean of the sample means? 240 (in minutes) 6. What is the standard deviation of the sample means? 12.65 What is the probability that the drug will wear off in less than 200 minutes? 1. What is the z-score? 2. What is the requested probability? P(x = < ÷ v x )= What is the probability that the drug will wear off after 220 minutes? 1. What is the z-score? 2. What is the requested probability? P(x = < + x x )= What is the probability that the drug will wear off between 200 and 220 minutes? 1. P(200 < x < 220) :

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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 240 minutes (4 hours) and a standard deviation of 40 minutes. The drug is administered to a random sample of 10 people. (Round means, standard deviations, and z-scores to the nearest hundredth, if necessary.) 1. What is the population mean? 240 (in minutes) 2. What is the population standard deviation? 40 (in minutes) 3. What is the sample size? 10 4. Can normal approximation be use for this problem? Yes, it is given that the population distribution is normally distributed. 5. What is the mean of the sample means? 240 (in minutes) 6. What is the standard deviation of the sample means? 12.65 What is the probability that the drug will wear off in less than 200 minutes? 1. What is the z-score? 2. What is the requested probability? P(x= x )= What is the probability that the drug will wear off after 220 minutes? 1. What is the z-score? 2. What is the requested probability? P(x = < + * * )= What is the probability that the drug will wear off between 200 and 220 minutes? 1. P(200 < x < 220) =
Transcribed Image Text:Researchers at a drug company are testing the duration of a new pain reliever. The drug is normally distributed with a mean duration of 240 minutes (4 hours) and a standard deviation of 40 minutes. The drug is administered to a random sample of 10 people. (Round means, standard deviations, and z-scores to the nearest hundredth, if necessary.) 1. What is the population mean? 240 (in minutes) 2. What is the population standard deviation? 40 (in minutes) 3. What is the sample size? 10 4. Can normal approximation be use for this problem? Yes, it is given that the population distribution is normally distributed. 5. What is the mean of the sample means? 240 (in minutes) 6. What is the standard deviation of the sample means? 12.65 What is the probability that the drug will wear off in less than 200 minutes? 1. What is the z-score? 2. What is the requested probability? P(x= x )= What is the probability that the drug will wear off after 220 minutes? 1. What is the z-score? 2. What is the requested probability? P(x = < + * * )= What is the probability that the drug will wear off between 200 and 220 minutes? 1. P(200 < x < 220) =
According the April 12, 2017 Pew Research survey, 58% of Americans approve of U.S. missile strikes in Syria in response to reports of the use of chemical weapons by Bashar al-Assad's government (the Syrian government). A sample of 50 Americans are surveyed. Let p be the sample proportion of Americans who approve the U.S. missile strikes. 1. What is the population proportion? 58 (decimal form) 2. What is the sample size? 50 3. Can the normal approximation be used with this distribution? Yes, the population distribution is normally distributed. + x 4. What is the mean of the sampling proportion? 5. What is the standard deviation sampling proportion? x (Round to 4 decimal places.) 6. What is the probability that no more than 25 Americans of the 50 in the survey approve of the missile strikes? o What is p? 29 o What is the z-score? x (Round to the nearest hundredth.) O What is the requested probability? P(p s + 0.5) = 7. What is the probability that more than 30 of the 50 Americans in the survey approved of the missile strikes? o What is p? .6 o What is the z-score? * (Round to the nearest hundredth.) o What is the requested probability? P(p + v 0.6) =
Transcribed Image Text:According the April 12, 2017 Pew Research survey, 58% of Americans approve of U.S. missile strikes in Syria in response to reports of the use of chemical weapons by Bashar al-Assad's government (the Syrian government). A sample of 50 Americans are surveyed. Let p be the sample proportion of Americans who approve the U.S. missile strikes. 1. What is the population proportion? 58 (decimal form) 2. What is the sample size? 50 3. Can the normal approximation be used with this distribution? Yes, the population distribution is normally distributed. + x 4. What is the mean of the sampling proportion? 5. What is the standard deviation sampling proportion? x (Round to 4 decimal places.) 6. What is the probability that no more than 25 Americans of the 50 in the survey approve of the missile strikes? o What is p? 29 o What is the z-score? x (Round to the nearest hundredth.) O What is the requested probability? P(p s + 0.5) = 7. What is the probability that more than 30 of the 50 Americans in the survey approved of the missile strikes? o What is p? .6 o What is the z-score? * (Round to the nearest hundredth.) o What is the requested probability? P(p + v 0.6) =
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