Can someone please help me with these questions?

Question

An insurance company states that 90% of its claims are settled within 5 weeks. A consumer group selected a random sample of 100 of the company’s claims and found 75 of the claims were settled within 5 weeks. Is there enough evidence to support the consumer group’s claim that fewer than 90% of the claims were settled within 5 weeks? Test using the traditional approach with alpha = 0.05


THANKS

A researcher wishes to compare two different groups of students with respect to their mean time to complete a particular task. The time required is determined for each group. The data summary is given below. Test the claim at alpha= 0.05, that there is no variance. Give the critical region, test statistic value, and conclusion for the F test.

Answer 1

do a Google on test sample sizes... my stats classes were 20 years ago, but I'm sure 100 is too small for a 95% confidence level... I thought it worked out closer to 1000...