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State What the Given Confidence Interval Suggests About the Two

Question 123

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.
 Type A  Type B xˉ1=71.5hrxˉ2=68.5hrs1=3.4hrs2=3.6hrn1=11n2=9\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 μ1μ2\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) 0.14hrs<μ1μ2<6.14- 0.14 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 6.14 hours
B) 1.51hrs<μ1μ2<7.51hrs- 1.51 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 7.51 \mathrm { hrs }
C) 2.24hrs<μ1μ2<8.24hrs- 2.24 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 8.24 \mathrm { hrs }
D) 1.00hrs<μ1μ2<7.00hrs- 1.00 \mathrm { hrs } < \mu _ { 1 } - \mu _ { 2 } < 7.00 \mathrm { hrs }

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