A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,935. 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 $63,200 and a 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 $62,935? Test the relevant hypotheses using a = 0.05. A USE SALT 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.) P.value - State your conclusion. O 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 $62,935. O Fail to reject Ho. 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 $62,935. O 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 $62,935. O Reject Ho. 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 $62,935. You may need to use the aporopriate table in the appendix to answer this question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
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A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,935. 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 $63,200 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 $62,935? Test the relevant hypotheses using a = 0.05.
In USE SALT
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.
O 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 $62,935.
O Fail to reject Ho. 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 $62,935.
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 $62,935.
O Reject Ho. 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 $62,935.
You may need to use the appropriate table in the appendix to answer this question.
Transcribed Image Text:A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,935. 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 $63,200 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 $62,935? Test the relevant hypotheses using a = 0.05. In USE SALT 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. O 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 $62,935. O Fail to reject Ho. 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 $62,935. 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 $62,935. O Reject Ho. 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 $62,935. You may need to use the appropriate table in the appendix to answer this question.
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