Could someone work a problem like this one, for an example.

Question

Complete the hypothesis test with alternative hypothesis ìd < 0 based on the paired data that follow and d = M - N. Use á = 0.02. Assume normality.

M 49 67 45 57 57 48
N 57 68 47 60 64 55

(a) Find t. (Give your answer correct to two decimal places.)


(ii) Find the p-value. (Give your answer correct to four decimal places.)

Answer 1

M 49 67 45 57 57 48
N 57 68 47 60 64 55
d 8 1 2 3 7 7

dbar = (8+ 1+ 2 +3 +7 +7)/6 = 28/6

sd = sqrt ((8-28/6)^2 + (1-28/6)^2 + (2-28/6)^2 +(3-28/6)^2 +(7-28/6)^2 + (7-28/6)^2 )/5))

Sd = sqrt(132/3/5)) = 3.011

t = (dbar-0)/sd

t = 4.667/3.011 = 1.55

Answer 2

To get critical value look t table
Degree of freedom D = 5
ta/2 = 0.02

Critical value is 3.37

Answer 3

I have worked it out and found the t value as 3.80 and that came out right but the p value is not coming out right.

Answer 4

t = 3.80
P-value = 0.0063

Answer 5

Thank you, I keep missing my p-values, and I am not sure why. I look them up on the chart, I have done everything the example says to but mine always come up wrong.