Answers DCSS Advanced Algebra CR 24-25 Cumulative Exam — Cumulative examQuestion 1

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Cumulative Exam — Cumulative exam

Question 1 • DCSS Advanced Algebra CR 24-25

A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between which two amounts would you expect 95% 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 and $1,500

B

$675 and $1,775

C

$950 and $1,500

D

$950 and $1,775

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 interval is $1,225 − $550 to $1,225 + $550, or $675 to $1,775. This matches choice B.

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