Chapter 4.1, Problem 43E

To determine

To explain do the students have reason to be skeptical of the research study’s reported results.

Answer to Problem 43E

Yes, the students have reason to be skeptical of the research study’s reported results.

Explanation of Solution

It is given in the question that the resulting least square regression line for the data given is as follows:

  $\text{<mover accent="true"><mo>S</mo><mo>^</mo></mover> leep debt}=2.23+3.17(\text{days})$

Thus, we have to evaluate by replacing the days with $5$ as:

  $\begin{array}{l}\text{<mover accent="true"> <mo>S</mo><mo>^</mo></mover> leep debt}=2.23+3.17(\text{days})\\ =2.23+3.17(5)\\ =18.08\end{array}$

Thus, the students have reasons to be skeptical of the results because their estimated sleep debt is higher than he study’s sleep debt of $15$ hours.