it has been reported that the average credit card debt for college seniors is $3,262. the student Senate at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2,995, And the population standard deviation is $1,100.

a) is there enough evidence to support the claim at a= 0.05?

b) find a 95? confidence interval for the true average debt of the seniors at the university?