A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,975. 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 $3,900. 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 $62,975? 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.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 $62,975.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 $62,975. 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 $62,975.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 $62,975.

Given : sample size, n =50 sample mean, x̄ = 63400 sample standard deviation,s= 3900…

Answered: that the mean salary offer for…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,975. 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 $3,900. 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 $62,975? 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.

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 $62,975.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 $62,975. 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 $62,975.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 $62,975.

Expert Solution