The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6000 graduate management programs worldwide. The mean sore for all test takers is 563, with a standard deviation of 118. A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors

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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The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT scores are used as part of the admissions process for more than 6000 graduate management programs worldwide. The mean sore for all test takers is 563, with a standard deviation of 118.

A researcher in the Philippines is concerned about the performance of undergraduates in the Philippines on the GMAT. She believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 563. She has a random sample of 250 college seniors in the Philippines interested in pursuing graduate management education that take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation ?=118.

The null and alternative hypotheses are ?0:?=563H0: versus μ=563 

Data on scores on the GMAT can be found at www.gmac. com/gmat/learn-about-the-gmat-exam, www.gmac.com/gmat-other-assessments/ accessing-gmat-exam-scores-and-reports/ gmat-scoring-by-exam-section-normal-view, and www.gmac.com/market-intelligence-and-research/assessment-data/ about-the-geographic-trend-reports. The mean and standard deviation for the GMAT scores is based on data from 2015–2018 and is based on the results of 739, 752 tests.
 

One sample of 250 students had mean GMAT score x¯=555. Enter this x¯, along with the other required information, into the P-Value of a Test of Significance applet.

What is the P-value? Give your answer to four decimal places.

P-value:
 
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