Macmillan Learning Stacked 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 o= 118. The null and alternative hypotheses are Ho: μ = 563 versus Ha: 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. Another sample of 250 students had x = 540. Use the applet to find the P-value for this outcome. Give your answer to four decimal places. Ⓒ P-value:

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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 score 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 \( \sigma = 118 \).

The null and alternative hypotheses are \( H_0: \mu = 563 \) versus \( H_a: \mu < 563 \).

---

Another sample of 250 students had \( \bar{x} = 540 \). Use the applet to find the \( P \)-value for this outcome. Give your answer to four decimal places.

\( P\)-value: `_______`

---

For more detailed information about GMAT scores, you can visit the following links:

- [www.gmac.com/gmat/learn-about-the-gmat-exam](http://www.gmac.com/gmat/learn-about-the-gmat-exam)
- [www.gmac.com/gmat-other-assessments/accessing-gmat-exam-scores-and-reports/](http://www.gmac.com/gmat-other-assessments/accessing-gmat-exam-scores-and-reports/)
- [www.gmac.com/market-intelligence-and-research/assessment-data/](http://www.gmac.com/market-intelligence-and-research/assessment-data/)
- [www.gmac.com/geographic-trend-reports](http://www.gmac.com/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.
Transcribed Image Text: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 score 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 \( \sigma = 118 \). The null and alternative hypotheses are \( H_0: \mu = 563 \) versus \( H_a: \mu < 563 \). --- Another sample of 250 students had \( \bar{x} = 540 \). Use the applet to find the \( P \)-value for this outcome. Give your answer to four decimal places. \( P\)-value: `_______` --- For more detailed information about GMAT scores, you can visit the following links: - [www.gmac.com/gmat/learn-about-the-gmat-exam](http://www.gmac.com/gmat/learn-about-the-gmat-exam) - [www.gmac.com/gmat-other-assessments/accessing-gmat-exam-scores-and-reports/](http://www.gmac.com/gmat-other-assessments/accessing-gmat-exam-scores-and-reports/) - [www.gmac.com/market-intelligence-and-research/assessment-data/](http://www.gmac.com/market-intelligence-and-research/assessment-data/) - [www.gmac.com/geographic-trend-reports](http://www.gmac.com/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.
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