Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds): 3.06 4.97 5.01 4.13 5.02 2.91 3.88 2.55 2.91 5.18 3.68 4.54 2.65 4.14 5.11 3.19 Use a calculator to verify that the sample variance for this plot is s^2=0.923. Another random sample of years for a second plot gave the following annual wheat production (in pounds): 3.61 3.50 3.81 3.89 3.84 3.50 3.53 3.62 3.67 4.05 3.82 4.12 3.75 3.92 4.05 4.01 Use a calculator to verify that the sample variance for this plot is s^2=0.042. Suppose that we test the claim using a=0.01 that the population variance of annual wheat production for the first plot is larger than that for the second plot. State the null and alternate hypotheses. H0: 2/1=2/2 ; H1 2/1<2/2where 2/1 is the population variance of the first plot and 2/2 is the population variance of the second plot H0: 2/1<2/2 ; H1 2/1=2/2 where 2/1 is the population variance of the first plot and 2/2 is the population variance of the second plot H0:2/1=2/2 ; H1 2/1= 2/2where 2/1 is the population variance of the first plot and 2/2 is the population variance of the second plot H0: 2/1=2/2 ; H1 2/1>2/2 where 2/1 is the population variance of the first plot and 2/2 is the population variance of the second plot H0: 2/1=2/2 ; H1 2/1>2/2 where 2/1 is the population variance of the first plot and 2/2 is the population variance of the second plot
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. Suppose for a random sample of years, one plot gave the following annual wheat production (in pounds):
|
3.06 |
4.97 |
5.01 |
4.13 |
5.02 |
2.91 |
3.88 |
2.55 |
|
2.91 |
5.18 |
3.68 |
4.54 |
2.65 |
4.14 |
5.11 |
3.19 |
Use a calculator to verify that the sample variance for this plot is s^2=0.923. Another random sample of years for a second plot gave the following annual wheat production (in pounds):
|
3.61 |
3.50 |
3.81 |
3.89 |
3.84 |
3.50 |
3.53 |
3.62 |
|
3.67 |
4.05 |
3.82 |
4.12 |
3.75 |
3.92 |
4.05 |
4.01 |
Use a calculator to verify that the sample variance for this plot is s^2=0.042. Suppose that we test the claim using a=0.01 that the population variance of annual wheat production for the first plot is larger than that for the second plot.
State the null and alternate hypotheses.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
