b A paint company has developed a new paint formula which should have a faster drying time compared to the old formula Paint

Question

b A paint company has developed a new paint formula which should have a faster drying time compared to the old formula Paint drying time is known to be normally distributed and from previous tests it is known that the original paint formula has a mean drying time of 14y 45 min 0 36 min2 The company s R D scientists believe the new formula will have a mean drying time of 2 35 min o 16 min2 that is they expect the new formula to dry an average of 10 min faster than the old formula or that 10 A scientist takes 16 samples of each paint formula and determines the mean drying time for each batch to be X 44 min and X2 36 min respectively Find a 90 confidence interval on the difference in average lifetime between the two populations 12

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