Your company sells 3 lb. bags of chocolate chips to retailers in Oakland. Recently there have been complaints from one chain of stores that customers have been returning opened bags that weigh significantly less than the label indicated. You want to test the null hypothesis that the weight of the bags are indeed 3 Ibs. against the one-sided alternative that they are instead less than 3 Ibs. You randomly sample 225 bags from your factory. The average weight of the bags that you sample is 2.92 lbs. with a standard deviation of 0.80 lbs. What is the t-statistic for this test? (Note: Write answer out to the hundredths place.) Can you reject the null hypothesis in favor of the alternative at a 5% significance level? (Yes or No) Can you reject the null hypothesis in favor of the alternative at a 10% significance level? (Yes or No) What is the p-value for this test? (Note: Write answer in percentage terms to the hundredths place.) Construct a 95% confidence interval for the true weight of the bags that you are shipping out? (Note: Write the lower and upper bound of the confidence interval below, each to the hundredths place.) Lower Bound: Upper Bound:

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
Your company sells 3 lb. bags of chocolate chips to retailers in Oakland. Recently there have been complaints from one chain of stores that customers have been returning opened bags that weigh significantly less than the
label indicated. You want to test the null hypothesis that the weight of the bags are indeed 3 Ibs. against the one-sided alternative that they are instead less than 3 Ibs. You randomly sample 225 bags from your factory.
The average weight of the bags that you sample is 2.92 Ibs. with a standard deviation of 0.80 Ibs.
What is the t-statistic for this test? (Note: Write answer out to the hundredths place.)
Can you reject the null hypothesis in favor of the alternative at a 5% significance level?
(Yes or No)
Can you reject the null hypothesis in favor of the alternative at a 10% significance level?
(Yes or No)
What is the p-value for this test? (Note: Write answer i
percentage terms to the hundredths place.)
%
Construct a 95% confidence interval for the true weight of the bags that you are shipping out? (Note: Write the lower and upper bound of the confidence interval below, each to the hundredths place.)
Lower Bound:
Upper Bound:
Transcribed Image Text:Your company sells 3 lb. bags of chocolate chips to retailers in Oakland. Recently there have been complaints from one chain of stores that customers have been returning opened bags that weigh significantly less than the label indicated. You want to test the null hypothesis that the weight of the bags are indeed 3 Ibs. against the one-sided alternative that they are instead less than 3 Ibs. You randomly sample 225 bags from your factory. The average weight of the bags that you sample is 2.92 Ibs. with a standard deviation of 0.80 Ibs. What is the t-statistic for this test? (Note: Write answer out to the hundredths place.) Can you reject the null hypothesis in favor of the alternative at a 5% significance level? (Yes or No) Can you reject the null hypothesis in favor of the alternative at a 10% significance level? (Yes or No) What is the p-value for this test? (Note: Write answer i percentage terms to the hundredths place.) % Construct a 95% confidence interval for the true weight of the bags that you are shipping out? (Note: Write the lower and upper bound of the confidence interval below, each to the hundredths place.) Lower Bound: Upper Bound:
Expert Solution
steps

Step by step

Solved in 5 steps with 7 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