34
QuizMultiple Choice

N/A — Exam

Question 34 • Algebra II

A survey of pet owners found that on average, they spend 1 dollars comma 225 annually per pet, with a standard deviation of 275 dollars Between which two amounts would you expect 95 percent of the survey’s respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population?

Answer
A
675 dollars and 1 dollars comma 500
B
950 dollars and 1 dollars comma 775
C
950 dollars and 1 dollars comma 500
D
675 dollars and 1 dollars comma 775

Explanation

For an approximately normal distribution, about 95% of values lie within 2 standard deviations of the mean. Two standard deviations is 2 × $275 = $550, so the range is $1,225 − $550 = $675 to $1,225 + $550 = $1,775. Therefore, the correct choice is C, $675 and $1,775.

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