Two boats are competing for a spot in an upcoming race. They race over a part of the course several times. Boat A had 10 sample times with a sample mean of 12.17 minutes and a sample standard deviation of 1.056. Boat B had 12 sample times with a sample mean of 13.355 minutes and a sample standard deviation of 1.92. Assume the samples are drawn from normally distributed populations with equal population variances. At the 0.01 significance level, can we conclude that Boat A has a faster mean time?Find the p-value for the appropriate hypothesis test. Do not round intermediate calculations. Round your answer to four decimal places. Include the leading zero.Format:0.0000