The following two samples were collected as matched pairs Co

The following two samples were collected as matched pairs. Complete parts (a) through (d) below. a. State the null and alternative hypotheses to test if a difference in means exists between the populations represented by Samples 1 and 2. Let m1 be the population mean for Sample 1 and let mu2 be the population mean for Sample 2, where mud = . Choose the correct answer below. b. Calculate the appropriate test statistic and interpret the results of the hypothesis test using a = 0.10. The test statistic is (Round to two decimal places as needed.)

Solution

sample size,n = 7
sample mean,dbar = 2
standard deviation,Sd = 1.7321
alpha,a = 0.10

test statistic, t = dbar/(Sd/sqrt(n))
t = 2 / (1.7321/sqrt(7))
= 3.05