A manufacturer claims that drinking a particular type of tea daily will reduce the weight of a population by 12% over a fixed period. 70 people were recruited from the population to test the manufacturer's claim. The weight of each participant was measured at the start and the end of the study. The mean weight loss of the participants was found to be 8.1% with a standard deviation of 6.5%. Is the manufacturer's claim valid at a 1% level of significance? State clearly: (c) i. the null hypothesis and the alternative hypothesis, ii. whether a one-tailed or two-tailed test should be used and why, ii. which distribution table should be used and why, and iv. the degrees of freedom.

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
(c)
A manufacturer claims that drinking a particular type of tea
daily will reduce the weight of a population by 12% over a
fixed period. 70 people were recruited from the population
to test the manufacturer's claim. The weight of each
participant was measured at the start and the end of the
study. The mean weight loss of the participants was found
to be 8.1% with a standard deviation of 6.5%. Is the
manufacturer's claim valid at a 1% level of significance?
State clearly:
i. the null hypothesis and the alternative hypothesis,
ii. whether a one-tailed or two-tailed test should be used
and why,
iii. which distribution table should be used and why, and
iv. the degrees of freedom.
Transcribed Image Text:(c) A manufacturer claims that drinking a particular type of tea daily will reduce the weight of a population by 12% over a fixed period. 70 people were recruited from the population to test the manufacturer's claim. The weight of each participant was measured at the start and the end of the study. The mean weight loss of the participants was found to be 8.1% with a standard deviation of 6.5%. Is the manufacturer's claim valid at a 1% level of significance? State clearly: i. the null hypothesis and the alternative hypothesis, ii. whether a one-tailed or two-tailed test should be used and why, iii. which distribution table should be used and why, and iv. the degrees of freedom.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
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