Question

Assume that two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.

A paint manufacturer wished to compare the drying times of two different types of paint. Independent simple random samples of 11 cans of type A and 14 cans of type B were selected and applied to similar 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 mean drying times of the two types of paint.

Give the​ p-value. Round to four decimal places.

Answer 1