Question

Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...

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. For a random sample of years, one plot gave the following annual wheat production (in pounds).

3.75 4.20 3.90 3.66 3.63 3.79 4.09 4.42
3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39

Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.312.

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

3.52 3.52 4.09 3.73 4.03 3.72 4.13 4.01
3.59 4.29 3.78 3.19 3.84 3.91 3.66 4.35

Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.095.

Test the claim that the population variance of annual wheat production for the first plot is larger than that for the second plot. Use a 1% level of significance

Homework Answers

Answer #1

H0:

H1:

The test statistic F = s1^2/s2^2

                              = 0.312/0.095 = 3.28

P-value = P(F > 3.28)

             = 0.0138

Since the P-value is greater than the significance level(0.0138 > 0.01), so we should not reject H0.

At 1% significance level, there is not sufficient evidence to support the claim that the population variance of annual wheat production for the first plot is larger than the second plot.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 4.17 4.17 3.99 3.63 3.69 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 3.66 3.72 4.29 3.87 4.11 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 4.02 4.02 4.17 4.20 3.63 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 3.99 3.63 3.69 3.60 3.75 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 3.66 4.29 3.75 3.69 4.26 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 3.87 4.08 3.60 3.84 3.81 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 4.11 3.72 4.02 3.96 3.81 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 3.93 4.11 4.20 4.29 3.60 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 4.08 3.66 4.20 4.29 3.87 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of...
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. For a random sample of years, one plot gave the following annual wheat production (in pounds). 3.69 3.72 4.17 4.14 3.69 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Consider insertsort. Suppose that the input array A has 1% probability to be monotonically decreasing. Show...
    asked 7 minutes ago
  • Your company is thinking of introducing a Bring Your Own Device (BYOD) policy. You have been...
    asked 13 minutes ago
  • Attached is the file GeometricObject.java. Include this in your project, but do not change. Create a...
    asked 15 minutes ago
  • Suppose the number of cars in a household has a binomial distribution with parameters n =...
    asked 18 minutes ago
  • HR needs some information on the new interns put into a database. Given an id, email,...
    asked 39 minutes ago
  • Problem solving strategies Questions years = input("Enter a number of years and I'll tell you how...
    asked 44 minutes ago
  • Calculate ?Hrxn for the following reaction: CH4(g)+4Cl2(g)?CCl4(g)+4HCl(g) Use the following reactions and given ?H?s. C(s)+2H2(g)?CH4(g)?H=?74.6kJC(s)+2Cl2(g)?CCl4(g)?H=?95.7kJH2(g)+Cl2(g)?2HCl(g)?H=?184.6kJ Express...
    asked 50 minutes ago
  • ASCII (American Standard Code for Information Interchange) has an encoding for every character of the alphabet,...
    asked 1 hour ago
  • Is home confinement with electronic monitoring a deterrent? Are there negatives to being confined to one’s...
    asked 1 hour ago
  • Social hostility can have severe lasting effects of interperpersonal relationship during our adolescence years, which if...
    asked 1 hour ago
  • - A series RLC circuit has R=15 ?, L=1.5 H, and C=15 ?F. (a) For what...
    asked 1 hour ago
  • TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-screen televisions in...
    asked 1 hour ago