Question #3 Explanation | Finding p-value of t-score

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

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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:

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