According to a research study, people are able to better manage their time when they wear watches than when they use mobile phones or other gadgets to keep track of time.
To test this, 300 college students were randomized into a treatment group and a control group. The
treatment group was asked to wear a watch every day, and the control group was asked to avoid wearing
a watch for 50 days. The number of occasions when students from both groups arrived later than their
scheduled time was noted.
The results of the experiment showed that the mean score of the treatment group was exactly 15 points
less than the mean score of the control group. To test whether the results could be explained by random
chance, the researchers created the following table, which summarizes the results of 1,000
randomizations of the data with differences of means rounded to the nearest 5 points.
Consider the significance level to be set at 5%, so results lower than 5% can be considered statistically
significant.

*will add picture of data*

Part A
Determine the probability of the treatment groups mean being lower than the control group mean by 15 points or more.

Part B
Is the result statistically significant? Explain your answer.

Part C
What does your answers suggest about wearing a watch and managing time?