Question

In a sample of 31 kids, their mean time on the internet on the phone was 36.5 hours with a sample standard deviation of 8.3 hours. Which distribution would be most appropriate to use, when we assume these times are normally distributed

Answer 1

The most appropriate distribution to use in this situation is the normal distribution.

Step-by-step explanation:

The most appropriate distribution to use in this situation is the normal distribution. The reason for this is that the question states that we are assuming the times are normally distributed. In addition, the sample size is relatively large (31 kids), which allows us to make the approximation that the sample means will also be normally distributed according to the Central Limit Theorem.

The mean time on the internet for the kids in the sample is 36.5 hours with a standard deviation of 8.3 hours. Assuming the times are normally distributed, we can use the normal distribution to make inferences about the population of all kids.