Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A grass seed company conducts a study to determine the relationship between the density of seeds planted (in pounds per 500 sq ft) and the quality of the resulting lawn. Eight similar plots of land are selected and each is planted with a particular density of seed. One month later the quality of each lawn is rated on a scale of 0 to 100. The sample data are given below.

Seed Density Lawn Quality
1 30
1 40
2 40
3 40
3 50
3 65
4 50
5 50

Required:
At the 1% level of significance, is there evidence of an association between seed density and lawn quality?

Sagot :

fichoh

Answer:

There is no significant evidence to support the claim that an association between seed density and lawn quality exists.

Step-by-step explanation:

Given the data :

Seed Density Lawn Quality

1 30

1 40

2 40

3 40

3 50

3 65

4 50

5 50

Using technology to obtain the correlation Coefficient between seed density and lawn quality, the Coefficient, R = 0.6

H0 : Ļ = 0

H1 : Ļ ā‰  0

We can then calculate the test statistic :

Test statistic = r / āˆš(1 - rĀ²) / (n - 2)

Test statistic = 0.6 / āˆš(1 - 0.6Ā²) / (8 - 2)

Test statistic = 0.6 / 0.3265986

Test statistic = 1.837

Pvalue from test statistic : = 0.11583

Ī± = 0.01

Pvalue > Ī± ;

We fail to reject the null

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.