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A Grass Seed Company Conducts a Study to Determine the Relationship

question 1

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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.Find a 99% confidence interval for the mean lawn
Quality of all lawns sown with a seed density of 2.5.  Variable  Count  Mean  StdDev  Seed Density 82.750.49099 Lawn Quality 845.6253.712611\begin{array} { l l l l } \text { Variable } & \text { Count } & \text { Mean } & \text { StdDev } \\ \text { Seed Density } & 8 & 2.75 & 0.49099 \\ \text { Lawn Quality } & 8 & 45.625 & 3.712611 \end{array}
Dependent variable is: Lawn Quality
RR squared =36.0%= 36.0\%
s=9.073602s = 9.073602 with 82=68 - 2 = 6 degrees of freedom
 Variable  Coefficient  s.e. of Coeff  t-ratio  prob  Constant 31.148157.5107574.4134230.004503 Seed Density 4.5370372.4695221.8372130.115825\begin{array} { l l l l l } \text { Variable } & \text { Coefficient } & \text { s.e. of Coeff } & \text { t-ratio } & \text { prob } \\ \text { Constant } & 31.14815 & 7.510757 & 4.413423 & 0.004503 \\ \text { Seed Density } & 4.537037 & 2.469522 & 1.837213 & 0.115825 \end{array}


Definitions:

Standing-room-only Close

A sales tactic implying limited availability or space to pressure a decision, suggesting that immediate action is needed or an opportunity will be missed.

Closing Purpose

The primary goal of concluding a sale or negotiation, typically involving securing agreement or commitment from the other party.

Summary-of-benefits Close

A sales technique that highlights the advantages or positive outcomes of a product or service, leading to a close.

Alternative-choice Close

A sales technique where the customer is given a choice between two options, both leading to a sale, making it easier for them to make a decision without feeling pressured.

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