For air travellers,one of the biggest complaints is of the waiting time between when the aeroplane taxis away from the terminal until the flight takes off.This waiting time is known to have a skewed-right distribution with a mean of 10 minutes and a standard deviation of 8 minutes.Suppose 100 flights have been randomly sampled.Describe the sampling distribution of the mean waiting time between when the aeroplane taxis away from the terminal until the flight takes off for these 100 flights.
A) Distribution is approximately normal with mean = 10 minutes and standard error = 8 minutes.
B) Distribution is skewed-right with mean = 10 minutes and standard error = 8 minutes.
C) Distribution is approximately normal with mean = 10 minutes and standard error = 0.8 minutes.
D) Distribution is skewed-right with mean = 10 minutes and standard error = 0.8 minutes.

Question

Quizplus · Accepted Answer

According to the Central Limit Theorem, the sampling distribution of the mean will be approximately normal if the sample size is large enough, regardless of the shape of the population distribution. Since the sample size is 100, which is generally considered large enough, the distribution of the sample mean will be approximately normal. The mean of the sampling distribution is the same as the population mean (10 minutes). The standard error (SE) is calculated as the population standard deviation (σ) divided by the square root of the sample size (n), which is $SE = \frac{8}{\sqrt{100}} = 0.8$ minutes.

For Air Travellers,one of the Biggest Complaints Is of the Waiting