Assume that two samples are independent simple random samplesselected from normally distributed populations. Do not assume thatthe population standard deviations are equal.
A paint manufacturer wished to compare the drying times of twodifferent types of paint. Independent simple random samples of 11cans of type A and 14 cans of type B were selected and applied tosimilar surfaces. The​ drying​ times,​ in​ hours, were recorded.The summary statistics are below.
Type​ A:  
x overbar 1 equals 75.7x1 = 75.7
hours​,
s 1 equals 4.5s1 = 4.5
​hours, n 1 equals 11n1 = 11Type​ B:
x overbar 2 equals 72.7x2 = 72.7
hours​,
s 2 equals 4.7s2 = 4.7
​hours, n 2 equals 14n2 = 14
Test the claim that there is a difference between the meandrying times of the two types of paint.
Give the​ p-value. Round to four decimal places.
