**Question #3:** At Crammer Nation University, the brothers of Sigma Apple Pi fraternity get an average of 25.2 Tinder matches per day. You take a sample of 35 brothers, resulting in a standard deviation of 2.7 matches. What's the probability that the mean of the sample will be above 25.9?

## Answer

## Explanation

First, we'll calculate t-score, and the we'll find the corresponding p-value range in the t-table!

But first...

### Why should we use t-score?

In relation to this graphic...

...we are not given the *population* standard deviation of all Sigma Apple Pi brothers' average Tinder matches per day. We're given the *sample* standard deviation of 2.7 matches.

Therefore, we must use t-score!

### Calculating the t-score

To calculate t-score, we'll utilize the below formula: