Let x be a random variable representing the SAT math score of student in a state. We may assume that x has a normal distribution, and past studies have shown that the population standard deviation is 38. A large university claims the mean SAT math score for incoming freshman is 680. You suspect that this claim is too high and decide to test the claim. You select a random sample of 32 incoming freshman and find the sample mean SAT math score to be 667.4. If you assume that the population mean is 680, find the P-value corresponding to the hypothesis that the average SAT score is less than 680. A.0.03 B.0.035 C.0.042 D.0.02

It is given that Population mean = 680 Sample mean = 667.4 Population standard deviation = 38…

Answered: find the P-value corresponding to the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Let x be a random variable representing the SAT math score of student in a state. We may assume that x has a normal distribution, and past studies have shown that the population standard deviation is 38. A large university claims the mean SAT math score for incoming freshman is 680. You suspect that this claim is too high and decide to test the claim. You select a random sample of 32 incoming freshman and find the sample mean SAT math score to be 667.4. If you assume that the population mean is 680, find the P-value corresponding to the hypothesis that the average SAT score is less than 680.

A.

0.03

B.

0.035

C.

0.042

D.

0.02

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.

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