Question

The national average of college students on a test of sports trivia is 50 with a standard deviation of 5. A sportscaster is interested in whether BC students know less about sports than the national average. The sportscaster tests a random sample of 25 BC students and obtains a mean of 48 Use an alpha level of 0.05. Is this a one-tailed or two tailed test?

Answer 1

: Mean score of BC students on test of sports trivia.

: Hypothesized mean : National average =50

A sportscaster is interested in whether BC students know less about sports than the national average i.e

<50;

Null hypothesis : Ho : = 50

Alternate hypothesis : Ha: <50

As we have a < in the alternate hypothesis ; One tailed test :

This is a one-tailed test :

----------------------------------------------------

Given population standard deviation : =5

Sample size : n= 25

Sample mean score : = 48

For left tailed test :

As P-Value i.e. is less than Level of significance i.e (P-value:0.0228 < 0.05:Level of significance); Reject Null Hypothesis
There is sufficient evidence to conclude that BC student's average score less than national average .

There is sufficient evidence to conclude that  BC students know less about sports than the national average