A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,945. 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 $63,500 and a standard deviation of $3,600. 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 $62,945? Test the relevant hypotheses using a = 0.05. Find the test statistic and P-value. State your conclusion. Step 1 Use SALT to generate the results of the hypothesis test. Select "One Sample t" as the procedure. We are told that the sample mean is $63,500, the sample standard deviation is $3,600, and the sample size is 50. Enter these values into SALT and click "Hypothesis Test." USE SALT The hypothesized mean is given as $62,945. Enter this into SALT in the Hypothesized Mean field. This corresponds to null hypothesis Ho: 62,945. We want to test whether the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,945. This corresponds to an alternative hypothesis of H₂: H--?-- 62,945. Select the direction of the alternative hypothesis in SALT, and click "Generate Results." The test statistic t and the P-value are given in the resulting summary table. Enter the test statistic and P-value, rounding the test statistic to two decimal places and the P-value to four decimal places. P-value=

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