# b A paint company has developed a new paint formula which

Last updated: 4/15/2024

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 45 min The company s R D scientists believe the new formula will have a mean drying time of 235 min that is they expect the new formula to dry an average of 10 min faster than the old formula or that 10 They aren t sure what the population variances are yet but the new formula is not expected to affect the variance in drying time A scientist takes 10 samples of each paint formula and determines the mean drying time for each batch to be X 45 min and X2 34 min with sample variances equal to s 6 5 min and s 4 4 min respectively Find a 95 confidence interval on the difference in average lifetime between the two populations