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 = 58.5 words, s= 15.5 words. Given that this dictionary has 1460 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 47.9 words. Use a 0.05 significance level to test the claim that the mean number of words per page is greater than 47.9 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
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 = 58.5 words, s = 15.5 words. Given that this dictionary has 1460 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 47.9 words. Use a 0.05 significance level to test the claim that the mean number of words per page is
greater than 47.9 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?
O A. Ho: u>47.9 words
H:µ<47.9 words
O B. Ho: H = 47.9 words
H: µ>47.9 words
OC. Ho: H= 47.9 words
O D. Ho: H= 47.9 words
H:µ<47.9 words
H1: µ#47.9 words
Determine the test statistic.
(Round to two decimal places as needed.)
Determine the P-value.
(Round to three decimal places as needed.)
State the final conclusion that addresses the original claim.
Ho. There is
evidence to support the claim that there
70,000 defined words in the dictionary.
Transcribed Image Text: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 = 58.5 words, s = 15.5 words. Given that this dictionary has 1460 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 47.9 words. Use a 0.05 significance level to test the claim that the mean number of words per page is greater than 47.9 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? O A. Ho: u>47.9 words H:µ<47.9 words O B. Ho: H = 47.9 words H: µ>47.9 words OC. Ho: H= 47.9 words O D. Ho: H= 47.9 words H:µ<47.9 words H1: µ#47.9 words Determine the test statistic. (Round to two decimal places as needed.) Determine the P-value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim. Ho. There is evidence to support the claim that there 70,000 defined words in the dictionary.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman