Question

A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,915. Suppose that a random sample of 50 mathematics and statistics graduates at a large university who received job offers resulted in a mean offer of $63,600 and a standard deviation of $3,900. Do the sample data provide strong support for the claim that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,915? Test the relevant hypotheses using α = 0.05.

Find the test statistic and P-value. (Use technology to calculate the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.)

t =

P-value =

State your conclusion.(A) Reject H0. We have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,915.

(B) Fail to reject H0. We have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,915.

(C) Reject H0. We do not have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,915

(D). Fail to reject H0. We do not have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,915.

Answer 1