Question

A professional rock climber claims that he can climb a particular mountain within 25 minutes. From a random sample of 25 attempts, the rock climber averaged 25.6 minutes with a standard deviation of 2.5 minutes. Is there sufficient evidence to suggest that the climber's claim is incorrect at a significance level of 2 per cent? Apply traditional approach.

Answer 1

We are given that

We want to test the hypotehsis:

Level of significance:

Test statistic:

  

  

The critical region:

Decision: Since the calculated value doesn't fall in the rejection region, we fail to reject the null hypothesis.

Hence we conclude that there is not enough evidence in the the climber's claim of climbing the mountain within 25 minutes.