A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,945. 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 $63,500 and a standard deviation of $3,600. 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 $62,945? Test the relevant hypotheses using a = 0.05. Find the test statistic and P-value. State your conclusion. Step 1 Use SALT to generate the results of the hypothesis test. Select "One Sample t" as the procedure. We are told that the sample mean is $63,500, the sample standard deviation is $3,600, and the sample size is 50. Enter these values into SALT and click "Hypothesis Test." USE SALT The hypothesized mean is given as $62,945. Enter this into SALT in the Hypothesized Mean field. This corresponds to null hypothesis Ho: 62,945. We want to test whether the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,945. This corresponds to an alternative hypothesis of H₂: H--?-- 62,945. Select the direction of the alternative hypothesis in SALT, and click "Generate Results." The test statistic t and the P-value are given in the resulting summary table. Enter the test statistic and P-value, rounding the test statistic to two decimal places and the P-value to four decimal places. P-value=
A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,945. 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 $63,500 and a standard deviation of $3,600. 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 $62,945? Test the relevant hypotheses using a = 0.05. Find the test statistic and P-value. State your conclusion. Step 1 Use SALT to generate the results of the hypothesis test. Select "One Sample t" as the procedure. We are told that the sample mean is $63,500, the sample standard deviation is $3,600, and the sample size is 50. Enter these values into SALT and click "Hypothesis Test." USE SALT The hypothesized mean is given as $62,945. Enter this into SALT in the Hypothesized Mean field. This corresponds to null hypothesis Ho: 62,945. We want to test whether the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,945. This corresponds to an alternative hypothesis of H₂: H--?-- 62,945. Select the direction of the alternative hypothesis in SALT, and click "Generate Results." The test statistic t and the P-value are given in the resulting summary table. Enter the test statistic and P-value, rounding the test statistic to two decimal places and the P-value to four decimal places. P-value=
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
asap
Transcribed Image Text:A report states that the mean yearly salary offer for students graduating with mathematics and statistics degrees is $62,945. 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 $63,500 and a standard deviation of $3,600. 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 $62,945? Test the relevant hypotheses using α = 0.05.
Find the test statistic and P-value.
State your conclusion.
Step 1
Use SALT to generate the results of the hypothesis test. Select "One Sample t" as the procedure. We are told that the sample mean is $63,500, the sample standard deviation is $3,600, and the sample
size is 50. Enter these values into SALT and click "Hypothesis Test."
USE SALT
The hypothesized mean is given as $62,945. Enter this into SALT in the Hypothesized Mean field. This corresponds to null hypothesis Ho: μ =
✓62,945.
We want to test whether the mean salary offer for mathematics and statistics graduates of this university is greater than the national average of $62,945. This corresponds to an alternative hypothesis
of H₂: μ--?-- 62,945.
Select the direction of the alternative hypothesis in SALT, and click "Generate Results." The test statistic t and the P-value are given in the resulting summary table.
Enter the test statistic and P-value, rounding the test statistic to two decimal places and the P-value to four decimal places.
t =
P-value =
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman