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 |
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0.0001 and reject alternative hypothesis |
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0.0001 and reject null hypothesis |
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0.0001 and fail reject alternative hypothesis |
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