Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, critical​ value(s), and state the final conclusion that addresses the original claim.   A simple random sample of pages from a dictionary is obtained. Listed below are the numbers of words defined on those pages. Given that this dictionary has 1459 pages with defined​ words, the claim that there are more than​ 70,000 defined words is the same as the claim that the mean number of defined words on a page is greater than 48.0. Use a 0.10 level significance level to test this claim. What does the result suggest about the claim that there are more than​ 70,000 defined words in the​ dictionary? words in the​ dictionary? 64      33      68      57      57      64      47      38      68      84   1. Identify the test statistic.   ​(Round to three decimal places as​ needed.)     2.Identify the critical​ value(s).   ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)       3. Do the results suggest that there are more than​ 70,000 defined words in the​ dictionary?   A. Since many pages that were sampled have more than 48​ words, there must be more than​ 70,000 words in the dictionary.   B. There is not sufficient evidence to support the claim that there are more than​ 70,000 words in the dictionary.   C. There is sufficient evidence to support the claim that there are more than​ 70,000 words in the dictionary. D.The results are inconclusive.

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
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, critical​ value(s), and state the final conclusion that addresses the original claim.
 
A simple random sample of pages from a dictionary is obtained. Listed below are the numbers of words defined on those pages. Given that this dictionary has 1459 pages with defined​ words, the claim that there are more than​ 70,000 defined words is the same as the claim that the mean number of defined words on a page is greater than 48.0. Use a 0.10
level significance level to test this claim. What does the result suggest about the claim that there are more than​ 70,000 defined words in the​ dictionary?
words in the​ dictionary?
64     
33     
68     
57     
57     
64     
47     
38     
68     
84
 
1. Identify the test statistic.
 
​(Round to three decimal places as​ needed.)
 
 
2.Identify the critical​ value(s).
 
​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)
 
 
 
3. Do the results suggest that there are more than​ 70,000 defined words in the​ dictionary?
 
A. Since many pages that were sampled have more than 48​ words, there must be more than​ 70,000 words in the dictionary.
 
B. There is not sufficient evidence to support the claim that there are more than​ 70,000 words in the dictionary.
 
C. There is sufficient evidence to support the claim that there are more than​ 70,000 words in the dictionary.
D.The results are inconclusive.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 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
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