How Tall Is the Average Student on Your Campus? to Determine

question 22

Multiple Choice

How tall is the average student on your campus? To determine this,you measure the height,in centimetres,of a random sample of 9 of your fellow 100 students and calculate the following confidence interval with 95% confidence: 155.72 < μ(height) < 181.20

• A)The average height of your classmates is between 155.72 and 181.20 cm.
• B)We're 95% sure that the average height of your statistics classmates is between 155.72 and 181.20 cm.
• C)There's a 95% chance of a classmate being between 155.72 and 181.20 cm tall.
• D)95 of your 100 classmates are between 155.72 and 181.20 cm tall.
• E)We can be 95% sure that statistics students are between 155.72 and 181.20 cm tall.

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Definitions:

Expected Value

The average outcome of a random event when considering all possible outcomes and their probabilities.

Probability

The measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Von Neumann-Morgenstern Utility Function

A utility function theory based on expected utility, fundamental in making rational decisions under uncertainty, emphasizing outcomes' probabilities.

Probability

The measure of the likelihood that an event will occur.