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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? 0.2
X
2. What is the requested probability? P(x =
<
200
✓= 0.91
x
Ð¥
What is the probability that the drug will wear off after 220 minutes?
1. What is the z-score?
-2
X
2. What is the requested probability? P(x =
>
220
✓ = 0.866
X
What is the probability that the drug will wear off between 200 and 220 minutes?
1. P(200 < x < 220)
=
0.418
X

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 class=

Respuesta :

The population mean is 240, the population standard deviation is 40, and the sample size is 10.

What is a population mean?

It should be noted that the population mean simply means the average of the numbers that are given in a research.

Here, the population mean is 240, the population standard deviation is 40, and the sample size is 10. The sample size is the number of people that took part in the research.

Also, a normal approximation be use for this problem because it is given that the population distribution is normally distributed.

Learn more about mean on:

https://brainly.com/question/1136789

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