Final answer:
To determine if there is a difference in the mean amount of time boys and girls aged 7 to 11 play sports each day, we can use a hypothesis test.
Step-by-step explanation:
This question is asking whether there is a difference in the mean amount of time boys and girls aged 7 to 11 play sports each day, and wants to test it at the 5 percent level of significance. To answer this question, we can use a hypothesis test.
Let's assume that the null hypothesis is that the mean amount of time boys and girls play sports each day is the same. The alternative hypothesis is that the mean amount of time is different.
We can use a t-test to compare the means of two independent samples. We need to calculate the test statistic and compare it to the critical value of the t-distribution at the desired level of significance. If the test statistic falls in the rejection region, we reject the null hypothesis and conclude that there is a significant difference in the mean amount of time boys and girls play sports each day.