Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6.19 6.26 5.84 6.12 7.31 7.18 7.06 5.79 6.24 5.91 6.14 Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.302. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 6.75 6.05 7.17 6.33 7.22 5.58 5.47 5.86 Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.467. Test the claim that there is a difference (either way) in the population variance of wheat straw production for these two plots. Use a 5% level of signifcance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: ?12 = ?22; H1: ?12 > ?22Ho: ?12 > ?22; H1: ?12 = ?22 Ho: ?22 = ?12; H1: ?22 > ?12Ho: ?12 = ?22; H1: ?12 ≠ ?22 (b) Find the value of the sample F statistic. (Use 2 decimal places.) What are the degrees of freedom? dfN dfD What assumptions are you making about the original distribution? The populations follow dependent normal distributions. We have random samples from each population.The populations follow independent normal distributions. We have random samples from each population. The populations follow independent normal distributions.The populations follow independent chi-square distributions. We have random samples from each population. (c) Find or estimate the P-value of the sample test statistic. (Use 4 decimal places.) p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.020 < p-value < 0.0500.002 < p-value < 0.020p-value < 0.002
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows. 6.19 6.26 5.84 6.12 7.31 7.18 7.06 5.79 6.24 5.91 6.14 Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.302. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 6.75 6.05 7.17 6.33 7.22 5.58 5.47 5.86 Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.467. Test the claim that there is a difference (either way) in the population variance of wheat straw production for these two plots. Use a 5% level of signifcance. (a) What is the level of significance? State the null and alternate hypotheses. Ho: ?12 = ?22; H1: ?12 > ?22Ho: ?12 > ?22; H1: ?12 = ?22 Ho: ?22 = ?12; H1: ?22 > ?12Ho: ?12 = ?22; H1: ?12 ≠ ?22 (b) Find the value of the sample F statistic. (Use 2 decimal places.) What are the degrees of freedom? dfN dfD What assumptions are you making about the original distribution? The populations follow dependent normal distributions. We have random samples from each population.The populations follow independent normal distributions. We have random samples from each population. The populations follow independent normal distributions.The populations follow independent chi-square distributions. We have random samples from each population. (c) Find or estimate the P-value of the sample test statistic. (Use 4 decimal places.) p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.020 < p-value < 0.0500.002 < p-value < 0.020p-value < 0.002
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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Question
Two plots at Rothamsted Experimental Station were studied for production of wheat straw. For a random sample of years, the annual wheat straw production (in pounds) from one plot was as follows.
6.19 | 6.26 | 5.84 | 6.12 | 7.31 | 7.18 |
7.06 | 5.79 | 6.24 | 5.91 | 6.14 |
Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.302.
Another random sample of years for a second plot gave the following annual wheat production (in pounds).
6.75 | 6.05 | 7.17 | 6.33 | 7.22 | 5.58 | 5.47 | 5.86 |
Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.467.
Test the claim that there is a difference (either way) in the population variance of wheat straw production for these two plots. Use a 5% level of signifcance.
(a) What is the level of significance?
State the null and alternate hypotheses.
(b) Find the value of the sample F statistic. (Use 2 decimal places.)
What are the degrees of freedom?
What assumptions are you making about the original distribution?
(c) Find or estimate the P-value of the sample test statistic. (Use 4 decimal places.)
State the null and alternate hypotheses.
Ho: ?12 = ?22; H1: ?12 > ?22Ho: ?12 > ?22; H1: ?12 = ?22 Ho: ?22 = ?12; H1: ?22 > ?12Ho: ?12 = ?22; H1: ?12 ≠ ?22
(b) Find the value of the sample F statistic. (Use 2 decimal places.)
What are the degrees of freedom?
dfN | |
dfD |
The populations follow dependent normal distributions. We have random samples from each population.The populations follow independent normal distributions. We have random samples from each population. The populations follow independent normal distributions.The populations follow independent chi-square distributions. We have random samples from each population.
(c) Find or estimate the P-value of the sample test statistic. (Use 4 decimal places.)
p-value > 0.2000.100 < p-value < 0.200 0.050 < p-value < 0.1000.020 < p-value < 0.0500.002 < p-value < 0.020p-value < 0.002
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