SAT question 8173f32b (Inference From Sample Statistics And Margin Of Error)

Question

An analyst collected data on the price of a carton of grape tomatoes at $30$ locations selected at random in Utah. The mean price of a carton of grape tomatoes in Utah was estimated to be $ $4.23$ , with an associated margin of error of $ $0.08$ . Which of the following is a plausible statement about the mean price of a carton of grape tomatoes for all locations that sell this product in Utah?

10

Difficulty:Easy

A

It is between $ $4.15$ and $ $4.31$ .

B

It is either less than $ $4.15$ or greater than $ $4.31$ .

C

It is less than $ $4.15$ .

D

It is greater than $ $4.31$ .

College Board · Accepted Answer

The correct answer is A. Choice A is correct. It's given that the mean price of a carton of grape tomatoes in Utah was estimated to be $ 4.23 , with an associated margin of error of $ 0.08 . It follows that plausible values for this mean price are between $ 4.23 - \ 0.08 and \ 4.23 + \ 0.08 . Therefore, it's plausible that the mean price of a carton of grape tomatoes for all locations that sell this product in Utah is between \ 4.15 and $ 4.31 .

Explanation

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Why the other choices are wrong

SAT Question 8173f32b: Inference From Sample Statistics And Margin Of Error answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong