statistics
posted by tracy10 .
Could someone work a problem like this one, for an example.
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 pvalue. (Give your answer correct to four decimal places.)

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 ((828/6)^2 + (128/6)^2 + (228/6)^2 +(328/6)^2 +(728/6)^2 + (728/6)^2 )/5))
Sd = sqrt(132/3/5)) = 3.011
t = (dbar0)/sd
t = 4.667/3.011 = 1.55 
To get critical value look t table
Degree of freedom D = 5
ta/2 = 0.02
Critical value is 3.37 
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.

t = 3.80
Pvalue = 0.0063 
Thank you, I keep missing my pvalues, 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.
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