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 $63,200 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? = 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 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 $62,915.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. 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.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.

Given that Sample size n =50 Sample mean =63200 Sample standard deviation =3900

Answered: report states that the mean yearly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 $63,200 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

? = 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 four decimal places.)

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 $62,915.

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.

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.

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.

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