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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