Problem 1. An advertisement for a new toothpaste claims that it reduces cavities of children in their cavity-prone years. Cavities per year for their age group are normal with mean 3 and standard deviation 1. A study of 2500 children who used their toothpaste found an average of 2.95 cavities per child. Assume that the standard deviation of the number of cavities of a child using this new toothpaste remains equal to 1. (a) Are these data strong enough, at the 5 percent level of significance, to establish the claim of the toothpaste advertisement? Use the test statistic approach. (b) Without doing any recalculation, do you think there would be a change in the conclusion in part (a) if you decrease the level of significance to 1 percent? Explain your answer.

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
Question
An advertisement for a new toothpaste claims that it reduces cavities of children in their
cavity-prone years. Cavities per year for their age group are normal with mean 3 and standard deviation
1. A study of 2500 children who used their toothpaste found an average of 2.95 cavities per child. Assume
that the standard deviation of the number of cavities of a child using this new toothpaste remains equal
Problem 1.
to 1.
(a) Are these data strong enough, at the 5 percent level of significance, to establish the claim of the
toothpaste advertisement? Use the test statistic approach.
(b) Without doing any recalculation, do you think there would be a change in the conclusion in part (a)
if you decrease the level of significance to 1 percent? Explain your answer.
Transcribed Image Text:An advertisement for a new toothpaste claims that it reduces cavities of children in their cavity-prone years. Cavities per year for their age group are normal with mean 3 and standard deviation 1. A study of 2500 children who used their toothpaste found an average of 2.95 cavities per child. Assume that the standard deviation of the number of cavities of a child using this new toothpaste remains equal Problem 1. to 1. (a) Are these data strong enough, at the 5 percent level of significance, to establish the claim of the toothpaste advertisement? Use the test statistic approach. (b) Without doing any recalculation, do you think there would be a change in the conclusion in part (a) if you decrease the level of significance to 1 percent? Explain your answer.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
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