A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. A random sample of 12 bottles of regular cola has a mean of 500.6 mL of soda with a standard deviation of 2.6 mL. A random sample of 19 bottles of diet cola has a mean of 498.4 mL of soda with a standard deviation of 4.4 mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a 0.05 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to fill bottles of regular cola and diet cola. Let bottles of regular cola be Population 1 and let bottles of diet cola be Population 2. Step 3 of 3: Draw a conclusion and interpret the decision. Answer 国 Tables E Keypad Keyboard Shortcuts We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to say there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to say that there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to say that there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to say that there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola.

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
A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet
cola. A random sample of 12 bottles of regular cola has a mean of 500.6 mL of soda with a standard deviation of 2.6 mL. A random sample of 19 bottles of diet cola has
a mean of 498.4 mL of soda with a standard deviation of 4.4 mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a
0.05 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to
fill bottles of regular cola and diet cola. Let bottles of regular cola be Population 1 and let bottles of diet cola be Population 2.
Step 3 of 3: Draw a conclusion and interpret the decision.
Answer
E Tables
I Keypad
Keyboard Shortcuts
We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to say there is a difference between the mean amounts of
soda put in bottles of regular cola and diet cola.
We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to say that there is a difference between the mean
amounts of soda put in bottles of regular cola and diet cola.
We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to say that there is a difference between the mean
amounts of soda put in bottles of regular cola and diet cola.
We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to say that there is a difference between the mean amounts of
soda put in bottles of regular cola and diet cola.
Transcribed Image Text:A manufacturer fills soda bottles. Periodically the company tests to see if there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. A random sample of 12 bottles of regular cola has a mean of 500.6 mL of soda with a standard deviation of 2.6 mL. A random sample of 19 bottles of diet cola has a mean of 498.4 mL of soda with a standard deviation of 4.4 mL. Test the claim that there is a difference between the mean fill levels for the two types of soda using a 0.05 level of significance. Assume that both populations are approximately normal and that the population variances are not equal since different machines are used to fill bottles of regular cola and diet cola. Let bottles of regular cola be Population 1 and let bottles of diet cola be Population 2. Step 3 of 3: Draw a conclusion and interpret the decision. Answer E Tables I Keypad Keyboard Shortcuts We reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to say there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to say that there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level of significance to say that there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.05 level of significance to say that there is a difference between the mean amounts of soda put in bottles of regular cola and diet cola.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 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