Concept explainers
(a)
To explain: how to satisfy the random condition in the study.
(a)
Explanation of Solution
Given Information:
The following table displays the data on the yield for each pair regular barley seeds were planted in one plot and kiln dried seeds were planted on the other is given.
In each pair of plots the plots are randomly allocated. One plot is allocated for planting the regular barley seeds while the adjacent plot is allocated for the plantation of kiln dried seeds.
(b)
To explain: which the appropriate test must be performed to help meet the random condition.
(b)
Explanation of Solution
Given Information:
The data on yield is given for the given data first find the difference in the yield as follows.
Plot | Regular | Kiln | Difference |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
| | | |
The table shows the difference in the yield
Calculate the mean
Formula used:
Calculations:
Calculate the standard deviation by taking the square root of variance.
The value of standard deviation
Simplify to get
The null hypothesis and the alternate hypothesis are described as follows
The null hypothesis
The alternate hypothesis
where
Formula used:
Describe the test statistics
Calculations:
The value of test statistics
The p value is
Interpretations:
Use the test statistics to find the p- value. The p- value gives the evidence whether to accept or reject the null hypothesis.
The degree of freedom is given by
Using tables, write the value at
Use the table and check if the probability lies between
Result:
Reject null hypothesis if the level of significance is more than p- value.
Here level of significance
The p- value do not lie in
Accept null hypothesis
This implies that there is no convincing evidence to prove that the random condition is met
Chapter 9 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Elementary Statistics: Picturing the World (6th Edition)
Introductory Statistics
Statistical Reasoning for Everyday Life (5th Edition)
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman