Question

Stop doing homework! $(4.3)$Researchers in Spain interviewed $7725$$13$-year-olds about their homework habits—how much time they spent per night on homework and whether they got help from their parents or not—and then had them take a test with $24$math questions and $24$science questions. They found that students who spent between $90$and $100$minutes on homework did only a little better on the test than those who spent $60$to $70$minutes on homework. Beyond $100$minutes, students who spent more time did worse than those who spent less time. The researchers concluded that $60$to $70$minutes per night is the optimum time for students to spend on homework.32 Is it appropriate to conclude that students who reduce their homework time from $120$minutes to $70$minutes will likely improve their performance on tests such as those used in this study? Why or why not? independent random samples from two populations of interest or from two groups in a randomized experiment, use two-sample t procedures for μ1−μ2$\frac{305}{1526}=0.200=20.0\%{\mu }_1-{\mu }_2$

Short answer

The required answer is No

Step-by-step solution

Explanation

In the previous exercise, we concluded that there was a link between homework time and test performance, such as those used in the study, because homework times longer than $100$minutes tend to correspond with poor test results.

However, association does not imply causation, which means that reducing homework time does not always result in better test results.

For example

It is possible that people with long homework times have learning difficulties, and that reducing their homework time will worsen their test results.