In: Statistics and Probability
Consider the following hypothesis statement using
alphaαequals=0.050.05
and data from two independent samples. Assume the population variances are not equal and the populations are normally distributed. Complete parts a and b.
Upper H 0 : mu 1 minus mu 2 equals 0H0: μ1−μ2=0 |
x overbar 1 equals 115.4x1=115.4 |
x overbar 2 equals 122.0x2=122.0 |
Upper H 1 : mu 1 minus mu 2 not equals 0H1: μ1−μ2≠0 |
s 1 equals 25.5s1=25.5 |
s 2 equals 14.7s2=14.7 |
n 1 equals 14n1=14 |
n 2 equals 20n2=20 |
a. Calculate the appropriate test statistic and interpret the result.