How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that

Question

2 years ago

7

How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 95% confidence that

the sample mean is within 5 minutes of the population mean, and the population standard deviation is known to be 7 minutes.

Mathematics

1 answer:

lukranit [14] · Answer 1 · 2022-09-04T06:26:56+03:00

lukranit [14]2 years ago

5 0

Answer: 25 computers will be selected

Step-by-step explanation:

Where: Z -value at 95% confidence = 1.96; SD = Standard deviation = 10 minutes; N = Sample size; Margin error = 4 minutesSubstituting;4 = 1.96*10/Sqrt (N)Sqrt (N) = (1.96*10)/4 = 4.9N = 4.9^2 = 24.01 ≈ 25