Answered: A random sample of 82 eighth grade…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A random sample of 82 eighth grade students' scores on a national mathematics assessment test has a mean score of 280. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 275. Assume that the population standard deviation is 36. At α=0.05,

is there enough evidence to support the administrator's claim?

Find the standardized test statistic z, and its corresponding area.

z=enter your response here

(Round to two decimal places as needed.)

Recall that a standard normal distribution table gives the area to the left of a z-score. Determine the area to the left of z.

Find the P Value

Decide whether to reject or fail to reject the null hypothesis.

Interpret your decision in the context of the original claim.

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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