Question

Math

Posted 3 months ago

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Kiera is researching the relationship between social media usage and sleep. She wants to estimate how much nightly sleep amounts increase or decrease as social media usage increases. She takes a random sample of people and asks each of them how many hours they slept last night and how many hours they used social media that day.
Which of these inference procedures is most appropriate?
Choose 1 answer:
(A) At-interval for slope
(B) A two-sample $t$-interval for the difference of means
(C) A paired $t$-interval for the mean difference
(D) A $z$-interval for a proportion
(E) A two-sample $z$-interval for the difference of proportions
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Answer from Sia

Posted 3 months ago

Solution by Steps

step 2

Determine the goal of Kiera's research. She wants to estimate the change in sleep amounts as social media usage increases, which suggests a need to estimate the slope of the relationship between the two variables

step 3

Choose the appropriate inference procedure based on the type of data and the research goal. Since Kiera is dealing with two quantitative variables and wants to estimate the slope of the linear relationship, a $t$-interval for the slope is the correct procedure

A

Key Concept

Inference procedure for estimating the slope of the relationship between two quantitative variables

Explanation

When a researcher wants to estimate how one quantitative variable changes as another quantitative variable changes, a $t$-interval for the slope of the linear regression model is the appropriate statistical procedure.

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