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

Question

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

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the type of data collected by Kiera for her research. She has collected two quantitative variables: hours of sleep and hours of social media usage. ‖ ‖ 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.⚹◊What statistical inference procedure would be most appropriate for estimating the relationship between social media usage and amount of nightly sleep in Kiera's research?⍭ Generate me a similar question◊

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