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A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,955. 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 $63,400 and a standard deviation of $3,100. 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 $62,955? Test the relevant hypotheses using a = 0.05. IA USE SALT Find the test statistic and Pvalue. (Use technology to calculate the Pvalue. Round your test statistic to two decimal places and your Pvalue to four decimal places.) t = P-value = State your conclusion. \" 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 $62,955. ' 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 $62,955. Fail to reject Ho- We have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,955. \" Reject \"0' 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 $62,955. Much concern has been expressed regarding the practice of using nitrates as meat preservatives. In one study involving possible effects of these chemicals, bacteria cultures were grown in a medium containing nitrates. The rate of uptake of radio-labeled amino acid (in dpm, disintegrations per minute) was then determined for each culture, yielding the following observations. IA USE SALT Suppose that it is known that the mean rate of uptake for cultures without nitrates is 8,000. Do the data suggest that the addition of nitrates results in a decrease in the mean rate of uptake? Test the appropriate hypotheses using a signicance level of 0.10. 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 four decimal places.) t = P-value = State your conclusion. Reject Ho- We do not have convincing evidence that the mean rate of uptake is reduced by the addition of nitrates. Fail to reject H0. We do not have convincing evidence that the mean rate of uptake is reduced by the addition of nitrates. Reject H0. We have convincing evidence that the mean rate of uptake is reduced by the addition of nitrates. Fail to reject \"0' We have convincing evidence that the mean rate of uptake is reduced by the addition of nitrates