Question

A random sample of 40 college students has a mean earnings of $3120 with a sample standard deviation of $677 over the summer months. Determine whether a normal distribution or a t-distribution should be used or whether neither of these can be used to construct a confidence interval.

Answer 1

A normal distribution should be used to construct a confidence interval

Step-by-step explanation:

Given that the sample size is 40, the mean earnings is $3120 and the sample standard deviation is $677 over summer months.

We must establish that when the population size is greater than 30, it is calculated as a normal distribution.

Therefore, to construct a confidence interval in the question given, a normal distribution should be used.