A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,925. 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 $63,600 and a standard deviation of $3,100. Do the sample data provide strong support the claim that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,925? 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.) t = P-value = State your conclusion. O Reject H.: 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 $62,925. O Fail to reject H.. We have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of S62,925. O Fail to reject H. 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 S62,925. O Reject H. We have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,925.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,925. 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 $63,600 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 $62,925? 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.)
t =
P-value =
State your conclusion.
O Reject H: 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
$62,925.
O Fail to reject H. We have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of
$62,925.
O Fail to reject H.. 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
$62,925.
O Reject H. We have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,925.
Transcribed Image Text:A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,925. 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 $63,600 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 $62,925? 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.) t = P-value = State your conclusion. O Reject H: 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 $62,925. O Fail to reject H. We have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,925. O Fail to reject H.. 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 $62,925. O Reject H. We have convincing evidence that the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,925.
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