Question

In an experiment about pumpkin yield we tested 3 varieties. Each variety was assigned to 4...

In an experiment about pumpkin yield we tested 3 varieties. Each variety was assigned to 4 randomly selected plots.
SS variety = 253.85
SS error = 108.09
Average for variety A is 29.2. Average for variety B is 31.7.
Do you reject the null hypothesis that varieties A and B have the same mean yield?

What is the LSD to test for differences in yield between varieties?

0 0
Add a comment Improve this question Transcribed image text
Answer #1
SS df MS F p-value
Variety 253.85 2 126.925 3.522759 0.163201
Error 108.09 3 36.03
Total 361.94 5

Do you reject the null hypothesis that varieties A and B have the same mean yield?

No, we fail to reject the null hypothesis.

What is the LSD to test for differences in yield between varieties?

LSD = t*sqrt(MSerror(1/n1 + 1/n2) = 3.18*sqrt(36.03(1/3+1/4) = 14.59

Please give me a thumbs-up if this helps you out. Thank you!

Add a comment
Know the answer?
Add Answer to:
In an experiment about pumpkin yield we tested 3 varieties. Each variety was assigned to 4...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Let ?? be the average yield in bushels per acre of variety i of corn, i...

    Let ?? be the average yield in bushels per acre of variety i of corn, i = 1, 2, 3, 4. In order to test the hypothesis ?0: ?1 = ?2 = ?3 = ?4 at the 5% significance level, four test plots for each of the four varieties of corn are planted. Determine whether we accept or reject ?0 if the yield in bushels per acre of the four varieties of corn are, respectively, as follows: ?1: 158,167,164 ?2:...

  • A 2 x 4 factorial experiment is conducted to compare yields of 4 varieties of soybeans...

    A 2 x 4 factorial experiment is conducted to compare yields of 4 varieties of soybeans that are planted in rows either 15 inches or 30 inches apart. Two plots of ground are randomly assigned to each combination of soybean variety and row spacing. The yields of soybeans (in bushels per acre) are as follows: Rows 1 2 3 4 15" 45 46 47 46 46 46 48 43 30" 35 41 42 39 32 39 38 41 The partially...

  • An agricultural experiment designed to assess differences in yields of corn for four different varieties, using...

    An agricultural experiment designed to assess differences in yields of corn for four different varieties, using three different fertilizers, produced the results (in tonnes per acre) as shown in the table below: Fertilizer 1 = 86 88 77 84 Fertilizer 2 = 92 91 81 93 Fertilizer 3 = 75 80 83 79 (a) Prepare a two –way analysis of variance table. (b) Test at 5% level of significance the null hypothesis that the population mean yields are identical for...

  • An agricultural experiment designed to assess differences in yields of corn for four different varieties, using...

    An agricultural experiment designed to assess differences in yields of corn for four different varieties, using three different fertilizers, produced the results (in tonnes per acre) as shown in the table below: Fertilizer 1 = 86 88 77 84 Fertilizer 2 = 92 91 81 93 Fertilizer 3 = 75 80 83 79 (a) Prepare a two –way analysis of variance table. (b) Test at 5% level of significance the null hypothesis that the population mean yields are identical for...

  • Kelang e. 2 IUUIS, J9 Ulules, 15 Selurus. Question Completion Status: QUESTION 6 4 points Save...

    Kelang e. 2 IUUIS, J9 Ulules, 15 Selurus. Question Completion Status: QUESTION 6 4 points Save Answer For which of the following scenarios would an Analysis of Variance (ANOVA) be appropriate? Determining if the distribution of party affiliation (Democrat, Republican, Independent) has changed since the last election Determining if the proportion of the population that are left handed is more than 10% Determining whether Income Level (Low, Middle, High) and Credit Score (Poor, Fair, Good, Excellent) are independent Determining if...

  • A genetic engineering average more tomatoes than other varieties. A farmer wants to test the claim...

    A genetic engineering average more tomatoes than other varieties. A farmer wants to test the claim on a small sca company claims that it has developed modified tomato plant that full-scale planting. Ten genetically modified tomato plants are grown from seeds along At the season's end, the resulting yields in pound are recorded as below Sample 1 Sample 2 Modified Regular o test the claim on a small scale before committing to a own from seeds along with ten other...

  • 28 11. (10 points) Ten randomly selected families are tested for the number of gallons of...

    28 11. (10 points) Ten randomly selected families are tested for the number of gallons of water a day they use before and after viewing a conservation video. The results are shown below. Before 33 33 38 33 35 35 40 40 40 31 After 34 25 28 35 33 31 28 35 33 Assume that the paired differences are normally distributed. At the 1% significance level, do the data provide sufficient evidence to conclude that the mean amount of...

  • 35 33 34 11. (10 points) Ten randomly selected families are tested for the number of...

    35 33 34 11. (10 points) Ten randomly selected families are tested for the number of gallons of water a day they use before and after viewing a conservation video. The results are shown below. Before 33 38 33 35 40 40 40 31 After 28 25 28 35 33 31 28 35 33 Assume that the paired differences are normally distributed. At the 1% significance level, do the data provide sufficient evidence to conclude that the mean amount of...

  • 35 33 34 11. (10 points) Ten randomly selected families are tested for the number of...

    35 33 34 11. (10 points) Ten randomly selected families are tested for the number of gallons of water a day they use before and after viewing a conservation video. The results are shown below. Before 33 38 33 35 40 40 40 31 After 28 25 28 35 33 31 28 35 33 Assume that the paired differences are normally distributed. At the 1% significance level, do the data provide sufficient evidence to conclude that the mean amount of...

  • Attempts: Average: /12 ANOVA calculations and rejection of the null hypothesis Aa Aa The followin...

    Please answer all parts Attempts: Average: /12 ANOVA calculations and rejection of the null hypothesis Aa Aa The following table summarizes the results of a study on SAT prep courses, comparing SAT scores of students in a private preparation class, a high school preparation class, and no preparation class. Use the information from the table to answer the remaining questions. Number of Sum of Observations Sample Mean Squares (SS) 650 645 625 Treatment Private prep class High school prep class...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT