A researcher constructed a 95 percent confidence interval for the mean number of alfalfa weevils on an alfalfa plant within a field. Based on 80 randomly selected alfalfa plants, the researcher found an average of 2.5 alfalfa weevils per plant and computed the 95 percent confidence interval to be 1.50 to 3.50. Which of the following statements is a correct interpretation of the 95 percent confidence level?
A researcher constructed a 95 percent confidence interval for the mean number of alfalfa weevils on an alfalfa plant within a field. Based on 80 randomly selected alfalfa plants, the researcher found an average of 2.5 alfalfa weevils per plant and computed the 95 percent confidence interval to be 1.50 to 3.50. Which of the following statements is a correct interpretation of the 95 percent confidence level?
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:例题7
A researcher constructed a 95 percent confidence interval for the mean number of
alfalfa weevils on an alfalfa plant within a field. Based on 80 randomly selected
alfalfa plants, the researcher found an average of 2.5 alfalfa weevils per plant and
computed the 95 percent confidence interval to be 1.50 to 3.50. Which of the
following statements is a correct interpretation of the 95 percent confidence level?
(A) Approximately 95 percent of alfalfa fields sampled will have an average of 1.50
to 3.50 alfalfa weevils per plant, but nothing can be said about the sample mean
number of alfalfa weevils for this or any other field.
(B) Approximately 95 percent of alfalfa fields sampled will have an average of 1.50
to 3.50 alfalfa weevils per plant. The sample mean for this field was 2.50 alfalfa
weevils per plant, but the sample means for other fields may be different.
(C) If we repeatedly sampled this field, taking samples of 80 plants and constructing
95% confidence intervals, then, approximately 95 percent of these intervals would
include 2.5, the mean for the sample described above.
(D) If we repeatedly sampled this field, taking samples of 80 plants and constructing
95% confidence intervals, then, approximately 95 percent of these intervals would
include the population mean number of alfalfa weevils on an alfalfa plant in this field.
(E) If we repeatedly sampled this field, taking samples of 80 plants and constructing
95% confidence intervals, then, approximately 95 percent of these intervals would
include the sample mean for that sample.
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

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