Please use the accompanying Excel data set or accompanying An article in the Journal of Agricultural Science ["The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic and Nitrogen Fertilizer Effects" (1997, Vol. 128, pp. 135-142)] investigated means of wheat grain crude protein content (CP) and Hagberg falling number (HFN) surveyed in the UK. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature ("C), and total monthly rainfall (mm). The data shown below describe temperatures for wheat grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follows: 13.6 120 121 132 16.0 13.4 13.2 13.0 13.7 14.9 12.3 Assume that the population has a normal distribution and the standard deviation is known to be a = 0.4. (a) Construct a 99% two-sided confidence interval on the mean temperature. Round to two decimal places (eg. 98.76). sps (b) Construct a 95% lower-confidence bound on the mean temperature. Round to two decimal places (e.g. 98.76). sp (c) Suppose that we wanted to be 95% confident that the error in estimating the mean temperature is less than 2 degrees Celsius. What sample size should be used? no Suppose that we wanted the total width of the two-sided confidence interval on mean temperature to be 1.5 degrees Celsius at ld be used?
Please use the accompanying Excel data set or accompanying An article in the Journal of Agricultural Science ["The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of Wheat with Variety, Climatic and Nitrogen Fertilizer Effects" (1997, Vol. 128, pp. 135-142)] investigated means of wheat grain crude protein content (CP) and Hagberg falling number (HFN) surveyed in the UK. The analysis used a variety of nitrogen fertilizer applications (kg N/ha), temperature ("C), and total monthly rainfall (mm). The data shown below describe temperatures for wheat grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follows: 13.6 120 121 132 16.0 13.4 13.2 13.0 13.7 14.9 12.3 Assume that the population has a normal distribution and the standard deviation is known to be a = 0.4. (a) Construct a 99% two-sided confidence interval on the mean temperature. Round to two decimal places (eg. 98.76). sps (b) Construct a 95% lower-confidence bound on the mean temperature. Round to two decimal places (e.g. 98.76). sp (c) Suppose that we wanted to be 95% confident that the error in estimating the mean temperature is less than 2 degrees Celsius. What sample size should be used? no Suppose that we wanted the total width of the two-sided confidence interval on mean temperature to be 1.5 degrees Celsius at ld be used?
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
![Current Altempt in Progress
Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise.
An article in the Journal of Agricultural Science ["The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of
Wheat with Variety, Climatic and Nitrogen Fertilizer Effects" (1997, Vol. 128, pp. 135-142)] investigated means of wheat grain crude
protein content (CP) and Hagberg falling number (HFN) surveyed in the UK. The analysis used a variety of nitrogen fertilizer
applications (kg N/ha), temperature (°C), and total monthly rainfall (mm). The data shown below describe temperatures for wheat
grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follows:
13.6 120 121 13.2 16.0 13.4
13.2 13.0 13.7 14.9 12.3
Assume that the population has a normal distribution and the standard deviation is known to be a = 0.4.
(a) Construct a 99% two-sided confidence interval on the mean temperature. Round to two decimal places (e.g. 98.76).
sps
(b) Construct a 95% lower-confidence bound on the mean temperature. Round to two decimal places (e.g. 98.76).
sp
(c) Suppose that we wanted to be 95% confident that the error in estimating the mean temperature is less than 2 degrees Celsius.
What sample size should be used?
n=
(d) Suppose that we wanted the total width of the two-sided confidence interval on mean temperature to be 1.5 degrees Celsius at
95% confidence. What sample size should be used?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7666ed16-5255-4824-bf84-ee059b7f8253%2F83792169-dfad-4587-acb0-adb1a81e33c3%2Fyobeil_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Current Altempt in Progress
Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise.
An article in the Journal of Agricultural Science ["The Use of Residual Maximum Likelihood to Model Grain Quality Characteristics of
Wheat with Variety, Climatic and Nitrogen Fertilizer Effects" (1997, Vol. 128, pp. 135-142)] investigated means of wheat grain crude
protein content (CP) and Hagberg falling number (HFN) surveyed in the UK. The analysis used a variety of nitrogen fertilizer
applications (kg N/ha), temperature (°C), and total monthly rainfall (mm). The data shown below describe temperatures for wheat
grown at Harper Adams Agricultural College between 1982 and 1993. The temperatures measured in June were obtained as follows:
13.6 120 121 13.2 16.0 13.4
13.2 13.0 13.7 14.9 12.3
Assume that the population has a normal distribution and the standard deviation is known to be a = 0.4.
(a) Construct a 99% two-sided confidence interval on the mean temperature. Round to two decimal places (e.g. 98.76).
sps
(b) Construct a 95% lower-confidence bound on the mean temperature. Round to two decimal places (e.g. 98.76).
sp
(c) Suppose that we wanted to be 95% confident that the error in estimating the mean temperature is less than 2 degrees Celsius.
What sample size should be used?
n=
(d) Suppose that we wanted the total width of the two-sided confidence interval on mean temperature to be 1.5 degrees Celsius at
95% confidence. What sample size should be used?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 1 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