Question

Which distribution should you use for this problem?

Short answer

The distribution is$t_{70-1}=t_{69}$

Step-by-step solution

Given information

Given in the question that, A hospital is trying to cut down on emergency room wait times. It is interested in the amount of time patients must wait before being called back to be examined. An investigation committee randomly surveyed$70$patients. The sample mean was$1.5$hours with a sample standard deviation of$0.5$ hours.

Explanation

The distribution required for this problem is $t$distribution with parameters $t_{n-1}$.

Here, the number of patients surveyed is $70$.

Therefore,

$t_{n-1}$

where, $n=70$

So,

$t_{70-1}=t_{69}$