Answered: A simple random sample of 20 pages from…

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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Question

A simple random sample of 20 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results n=20, x=58.6 words, s=15.4 words. Given that this dictionary has 1490 pages with defined words, the claim that there are more than 70,000 defined words is equivalent to the claim that the mean number of words per page is greater than 47.0 words. Use a 0.01 significance level to test the claim that the mean number of words per page is greater than 47.0 words. What does the result suggest about the claim that there are more than 70,000 defined words? Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. Assume that the population is normally distributed.

a) What are the null and alternative hypotheses.

b) Determine the test statistic.

c) Determine the P-value.

d) (reject/fail to reject). There is (sufficient/not sufficient) evidence to support the claim that there are (more than/fewer than/ are) 70,000 defined words in the dictionary.

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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