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A paint manufacturer wishes to compare the drying times of two different types of paint. Independent...

A paint manufacturer wishes to compare the drying times of two different types of paint. Independent 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
Mean 76.8 hours 66.1 hours
Standard Deviation 4.5 hours 5.1 hours
Sample size 11 9

Use a significant level of 0.05 to test this paint manufacturer's claim that the mean drying time for all type A paint and type B paint are the same. The P-value and conclusion are

0.01 and reject null hypothesis

0.0001 and reject alternative hypothesis

0.0001 and reject null hypothesis

0.0001 and fail reject alternative hypothesis

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