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 61006100 graduate management programs worldwide. The mean sore for all test‑takers is 550550 with a standard deviation of 120.120. 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 550.550. She has a random sample of 250250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation ?=120.σ=120. The null and alternative hypotheses are ?0:?=550H0:μ=550 versus ??:?<550.Ha:μ<550. (a) One sample of 250250 students had a mean GMAT score of ?⎯⎯⎯=542.x¯=542. Enter this ?⎯⎯⎯x¯ along with the other required information into the ?P‑value of a Test of Significance applet . What is the ?P‑value? (Enter your answer rounded to four decimal places.) ?‑value=P‑value=   (b) Another sample of 250250 students had ?⎯⎯⎯=532.x¯=532. Use the applet to find the ?P‑value for this outcome. (Enter your answer rounded to four decimal places.) ?-value=P-value=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 7PPS
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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 61006100 graduate management programs worldwide. The mean sore for all test‑takers is 550550 with a standard deviation of 120.120.

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 550.550. She has a random sample of 250250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT. Suppose we know that GMAT scores are Normally distributed with standard deviation ?=120.σ=120.

The null and alternative hypotheses are ?0:?=550H0:μ=550 versus ??:?<550.Ha:μ<550.

(a) One sample of 250250 students had a mean GMAT score of ?⎯⎯⎯=542.x¯=542. Enter this ?⎯⎯⎯x¯ along with the other required information into the ?P‑value of a Test of Significance applet . What is the ?P‑value? (Enter your answer rounded to four decimal places.)
?‑value=P‑value=
 
(b) Another sample of 250250 students had ?⎯⎯⎯=532.x¯=532. Use the applet to find the ?P‑value for this outcome. (Enter your answer rounded to four decimal places.)
?-value=P-value=
 
 
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