State What the Given Confidence Interval Suggests About the Two

question 29

Multiple Choice

State what the given confidence interval suggests about the two population means.
-A paint manufacturer wanted to compare the drying times of two different types of paint. Independent simple random samples of 11 cans of type A and 9 cans of type B were selected and applied to similar surfaces. The Drying times, in hours, were recorded. The summary statistics are as follows.
$$\begin{array} { | c | c | } \hline \text { Type A } & \text { Type B } \\\bar { x } _ { 1 } = 71.5 \mathrm { hr } & \bar { x } _ { 2 } = 68.5 \mathrm { hr } \\\mathrm { s } _ { 1 } = 3.4 \mathrm { hr } & \mathrm { s } _ { 2 } = 3.6 \mathrm { hr } \\\mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 9 \\\hline\end{array}$$
Construct a 99% confidence interval for $\mu _ { 1 } - \mu _ { 2 }$ the difference between the mean drying time for paint type A And the mean drying time for paint type B.

• A) \(- 0.14 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 6.14\) hours
• B) \(- 1.51 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 7.51 \mathrm { hrs }\)
• C) \(- 2.24 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 8.24 \mathrm { hrs }\)
• D) \(- 1.00 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 7.00 \mathrm { hrs }\)

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Definitions:

Financing Statement

A document prepared by a secured creditor and filed with the appropriate government official to give notice to the public that the creditor claims an interest in collateral belonging to the debtor named in the statement. The financing statement must contain the names and addresses of both the debtor and the creditor, and describe the collateral by type or item.

Trade Name

The name under which a business operates and is known to the public, distinct from the legal name of the business entity.

Perfection

The legal process by which secured parties protect themselves against the claims of third parties who may wish to have their debts satisfied out of the same collateral; usually accomplished by the filing of a financing statement with the appropriate government official.

Binding Agreement

A legally enforceable contract between parties that requires the fulfillment of certain obligations.