Assume that the differences are normally distributed. Complete parts (a) through (d) below.
Observation 1 2 3 4 5 6 7 8
Xi 45.3 45.8 46.6 44.1 44.4 46.4 46.9 44.9
Yi 47.6 46.6 48.7 49.2 45.3 48.8 49.3 45.4
(a) Determine di = Xi - Yi for each pair of data.
Observation 1 2 3 4 5 6 7 8
di -2.3 -0.8 -2.1 -5.1 -0.9 -2.4 -2.4 -0.5
(b) Compute d and sd.
d = -2.063
sd = 1.459
(c) Test if μd < 0 at the α = 0.05 level of significance.
What are the correct null and alternative hypotheses?
A. H0: μd < 0, H1: μd > 0
B. H0: μd = 0, H1: μd < 0
C. H0: μd > 0, H1: μd < 0
D. H0: μd < 0, H1: μd = 0
P-value =