Question

The average time it takes a certain brand of ibuprofen to start working is 25 minutes, with a standard deviation of 13 minutes, distributed normally. A pharmacist randomly samples 20 pills from this brand, because she is researching different brands in order to find the quickest acting ibuprofen to recommend to her customers. Identify the following to help her make her recommendations, rounding to the nearest hundredth if necessary:

Answer 1

The following to help her make her recommendations.

$\mu$ = 25 min

$\sigma=$  13 min

n= 20.

$\mu_{\bar{x}}=\mu$ = 25 min

What is standard deviation?

An indicator of how much a group of numbers vary or are dispersed is the standard deviation. When the standard deviation is low, the values tend to fall within a narrow range of the set's mean, but when it is large, the values tend to deviate from that mean more.

According to the given information:

The random variable X should stand in for how long it takes for a specific brand of ibuprofen to start working.

(a)

A certain brand of ibuprofen typically starts acting after 25 minutes.

Which is. $\mu$ = 25 min

(b)

A specific brand of ibuprofen has a 13-minute standard variation for when it begins to work.

Which is. $\sigma=$ 13 min

(c)

A pharmacist has chosen a 20-piece sample.

Which is. n= 20.

(d)

The sample means' mean is:

$\mu_{\bar{x}}=\mu$ = 25 min

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I understand that the question you are looking for is:

The average time it takes a certain brand of ibuprofen to start working is 25 minutes, with a standard deviation of 13 minutes, distributed normally. A pharmacist randomly samples 20 pills from this brand, because she is researching different brands in order to find the quickest acting ibuprofen to recommend to her customers. Identify the following to help her make her recommendations, rounding to the nearest hundredth if necessary:

a. mu = ______ minute

b. sigma = ______ minute

c. n = ______

d. mu-x = _______ minute