A Grass Seed Company Conducts a Study to Determine the Relationship

question 6

Multiple Choice

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 regression analysis and summary statistics are given below.A 99% confidence interval for the mean lawn quality of all lawns sown with a seed density of 2.9 was found to be (32.3,56.3) .Give an interpretation of this interval.
Dependent variable is: Lawn Quality
R-squared = 36.0%
S = 9.073602 with 8 - 2 = 6 degrees of freedom

• A)Based on this regression,we are 99% confident that the average lawn quality for lawns with a seed density of 2.9 pounds per 500 square feet is between 32.3 and 56.3.
• B)Based on this regression,99% of all random samples will have an average lawn quality between 32.3 and 56.3.
• C)Based on this regression,we are 99% confident that the average seed density will increase between 32.3 and 56.3 pounds per 500 square feet for each additional one-point increase in lawn quality.
• D)Based on this regression,we are 99% confident that the average lawn quality will increase between 32.3 and 56.3 points for each additional pound of seed per 500 square feet.
• E)Based on this regression,we are 99% confident that the lawn quality for a lawn with a seed density of 2.9 is between 32.3 and 56.3.

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Definitions:

Movable End

A term describing an object or part of a system that is free to move or be manipulated, often used in mechanical contexts.

Skeletal Muscle

A type of striated muscle tissue which is attached to bones and is responsible for the movement of the skeleton.

Insertion

More movable attachment point of a muscle; usually, the lateral or distal end of a muscle associated with the limbs; also called mobile end.

Insertion

The location or manner in which a skeletal muscle connects to the bone or different body part that it actuates.