Use the Following Information to Answer the Question $$\mathrm { SE } _ { \text {est } } = \mathrm { s } / \sqrt { \mathrm { n } }$$

question 9

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.
-Which of the following statements is not true about the t-distribution?

• A) Like the normal distribution, the t-distribution is symmetric and unimodal.
• B) For small sample sizes, the t-distribution has all the same properties of the normal curve.
• C) Since population standard deviation is usually unknown, the standard error uses the sample standard deviation to estimate population standard deviation. The formula is
• \[\mathrm { SE } _ { \text {est } } = \mathrm { s } / \sqrt { \mathrm { n } }\]
• D) All of these statements about the t-distribution are true.

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Definitions:

Thrust Loads

Forces applied along the axis of a shaft or bearing that push against the bearing's face, often caused by helical gears or inclines.

Equally Spaced

A term used to describe objects or elements that are distributed at uniform intervals or distances from each other, crucial for precision in design and manufacturing.

Retaining Rings

Mechanical fasteners that hold components onto a shaft or in a housing/bore when installed in a groove.

Snap Rings

Metal rings that fit into grooves on a shaft or in a bore, designed to hold components in place by exerting radial pressure.