A sample of 15 hospitals in Texas had a mean wait time of 48 minutes. Texas hospitals, as a whole, have a mean wait time of 53 minutes.

Question

Which of the following accurately describes this information?
A. μ=48 minutes and μ=53 minutes
B.
x
ˉ
=48 minutes and μ=53 minutes
C. μ=48 minutes and
x
ˉ
=53 minutes
D.
x
ˉ
=48 minutes and
x
ˉ
=53 minutes

Answer 1

To clarify the symbols used:

• \( \mu \) (mu) represents the population mean.
• \( \bar{x} \) (x-bar) represents the sample mean.

Given the information provided:

• The sample mean for the 15 hospitals is 48 minutes, so \( \bar{x} = 48 \) minutes.
• The population mean for all Texas hospitals is 53 minutes, so \( \mu = 53 \) minutes.

Therefore, the correct choice that accurately describes this information is:

B. \( \bar{x} = 48 \) minutes and \( \mu = 53 \) minutes.