Hypothesis Testing Using a P -Value In Exercises 31–36, (a) identify the claim and state H 0 and H a . (b) find the standardized test statistic z. (c) find the corresponding P-value. (d) decide whether to reject or fail to reject the null hypothesis. (e) interpret the decision in the context of the original claim. 31. MCAT Scores A random sample of 100 medical school applicants at a university has a mean total score of 502 on the MCAT. According to a report, the mean total score for the school’s applicants is more than 499. Assume the population standard deviation is 10.6. At α = 0.01, is there enough evidence to support the report's claim? (Source: Association of American Medical Colleges)

Hypothesis Testing Using a P-ValueIn Exercises 31–36,

(a) identify the claim and state H_{0} and H_{a}.

(b) find the standardized test statistic z.

(c) find the corresponding P-value.

(d) decide whether to reject or fail to reject the null hypothesis.

(e) interpret the decision in the context of the original claim.

31. MCAT Scores A random sample of 100 medical school applicants at a university has a mean total score of 502 on the MCAT. According to a report, the mean total score for the school’s applicants is more than 499. Assume the population standard deviation is 10.6. At α = 0.01, is there enough evidence to support the report's claim? (Source: Association of American Medical Colleges)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Statistics for Business and Economics (13th Edition)

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Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY

Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY