Use the Following Information to Answer the Question

question 18

Multiple Choice

Use the following information to answer the question. 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 1.67 hours with a standard deviation of 0.25 hours. Suppose a random sample of 30 participants in the 40-44 age group was taken and the mean finishing time was found to be 1.62 hours with a standard deviation of 0.40 hours.
-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 bell-shaped.
• B) The histogram will be unimodal.
• C) The histogram will be roughly symmetrical.
• D) All of these statements are true.

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Definitions:

21st Pair

Refers to the 21st pair of chromosomes in humans, which is critical for determining genetic conditions such as Down syndrome.

Cystic Fibrosis

A genetic disorder affecting the lungs and digestive system, characterized by thick, sticky mucus that can lead to severe respiratory and gastrointestinal problems.

Carrier

An individual who possesses one copy of a recessive gene for a genetic trait or disease and can pass it to their offspring without showing symptoms themselves.

Dominant

Exhibiting influence or control over others; in genetics, it refers to an allele that expresses its phenotypic effect in the presence of another allele.