Answered: A simple random sample of 10 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

pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results

n=10,

x=52.5

words,

s=16.1

words. Given that this dictionary has

1482

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

47.2

words. Use a

0.01

significance level to test the claim that the mean number of words per page is greater than

47.2

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.

What are the null and alternative hypotheses?

H0:

μ>47.2

words

H1:

μ<47.2

words

H0:

μ=47.2

words

H1:

μ≠47.2

words

H0:

μ=47.2

words

H1:

μ>47.2

words

H0:

μ=47.2

words

H1:

μ<47.2

words

Determine the test statistic.

nothing

(Round to two decimal places as needed.)

Identify the range of values for P-value. (You will not enter it here; you will use it to make your decsion below.)

State the final conclusion that addresses the original claim.

▼

Reject

Fail to reject

H0.

There is

▼

not sufficient

sufficient

evidence to support the claim that there

▼

are fewer than

are

are more than

70,000 defined words in the dictionary.

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