Farmer Joe has a theory. He believes that cows produce more milk when listening to upbeat music. He wants to estimate the true mean amount of milk produced by cows while listening to upbeat music. He randomly selects 15 cows and plays upbeat music anytime he milks them that day. Here are the results in gallons per day: 8, 10, 9.5, 10.25, 8, 9.5, 10, 12, 9.5, 10.75, 12, 12.5, 9.25, 11, 10.75 He constructs and interprets a 95% confidence interval for the true mean number of gallons of milk produced by cows while listening to upbeat music. Which of the following steps, if any, contain an error? State: We want to estimate x = the mean number of gallons of milk produced by these cows while listening to upbeat music with 95% confidence. Plan: One-sample t interval for μ Random? Random sample of 15 cows. Yes! Normal/Large Sample? The sample size is small, but the dotplot doesn't show any outliers or strong skewness. 8 8 8.5 ● 9 10 10.5 11 11.5 Amount of milk produced in a day (gallons) 9.5 Two of the steps contain an error. 8 T 12 12.5 Conclude: We are 95% confident that the interval from 9.458 gallons to 10.942 gallons captures the true mean number of gallons of milk produced by cows listening to upbeat music. Do: (9.458, 10.942)
Farmer Joe has a theory. He believes that cows produce more milk when listening to upbeat music. He wants to estimate the true mean amount of milk produced by cows while listening to upbeat music. He randomly selects 15 cows and plays upbeat music anytime he milks them that day. Here are the results in gallons per day: 8, 10, 9.5, 10.25, 8, 9.5, 10, 12, 9.5, 10.75, 12, 12.5, 9.25, 11, 10.75 He constructs and interprets a 95% confidence interval for the true mean number of gallons of milk produced by cows while listening to upbeat music. Which of the following steps, if any, contain an error? State: We want to estimate x = the mean number of gallons of milk produced by these cows while listening to upbeat music with 95% confidence. Plan: One-sample t interval for μ Random? Random sample of 15 cows. Yes! Normal/Large Sample? The sample size is small, but the dotplot doesn't show any outliers or strong skewness. 8 8 8.5 ● 9 10 10.5 11 11.5 Amount of milk produced in a day (gallons) 9.5 Two of the steps contain an error. 8 T 12 12.5 Conclude: We are 95% confident that the interval from 9.458 gallons to 10.942 gallons captures the true mean number of gallons of milk produced by cows listening to upbeat music. Do: (9.458, 10.942)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:Farmer Joe has a theory. He believes that cows produce more milk when listening to upbeat music. He wants to estimate the true
mean amount of milk produced by cows while listening to upbeat music. He randomly selects 15 cows and plays upbeat music
anytime he milks them that day. Here are the results in gallons per day:
8, 10, 9.5, 10.25, 8, 9.5, 10, 12, 9.5, 10.75, 12, 12.5, 9.25, 11, 10.75
He constructs and interprets a 95% confidence interval for the true mean number of gallons of milk produced by cows while
listening to upbeat music.
Which of the following steps, if any, contain an error?
State: We want to estimate x = the mean number of gallons of milk produced by these cows while listening to upbeat
music with 95% confidence.
Plan: One-sample t interval for μ Random? Random sample of 15 cows. Yes! Normal/Large Sample? The sample size
is small, but the dotplot doesn't show any outliers or strong skewness.
8
8.5
●
O
●
T
11
10
9 9.5
10.5
Amount of milk produced in a day (gallons)
Two of the steps contain an error.
11.5 12 12.5
Conclude: We are 95% confident that the interval from 9.458 gallons to 10.942 gallons captures the true mean number
of gallons of milk produced by cows listening to upbeat music.
Do: (9.458, 10.942)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman