Use the following information to answer questions (1) - (4). A sprint duathlon consists of a 5 km run, a 20 km
bike ride, followed by another 5 km run. The mean finish time of all participants in a recent large duathlon was
-Suppose the process of taking random samples of size 30 from the 40-44 age group is repeated 200 times and a histogram of the 200 sample means is created. Which statement best describes the shape of the histogram?
A)The histogram will be roughly symmetrical.
B)The histogram will be unimodal.
C)The histogram will be roughly bell-shaped.
D)All of the above statements are true.

Question

Quizplus · Accepted Answer

The Central Limit Theorem states that the distribution of sample means will be approximately normally distributed (bell-shaped) if the sample size is large enough, typically n ≥ 30, regardless of the population's distribution. This means the histogram of the sample means will be roughly symmetrical, unimodal, and bell-shaped.

Use the Following Information to Answer Questions (1) - (4)