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. 7.10 6.05 7.10 5.91 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 ≈ 0.374. Another random sample of years for a second plot gave the following annual wheat production (in pounds). 7.03 5.77 6.12 5.91 7.22 5.58 5.47 5.86 Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.427. 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?   (b) Find the value of the sample F statistic. (Use 2 decimal places.) What are the degrees of freedom? dfN   dfD

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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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.

7.10 6.05 7.10 5.91 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 ≈ 0.374.

Another random sample of years for a second plot gave the following annual wheat production (in pounds).

7.03 5.77 6.12 5.91 7.22 5.58 5.47 5.86

Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.427.

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?
 
(b) Find the value of the sample F statistic. (Use 2 decimal places.)


What are the degrees of freedom?
dfN  
dfD  
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