Posted by **tracy10** on Monday, June 24, 2013 at 5:39pm.

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

Complete the hypothesis test with alternative hypothesis d < 0 based on the paired data that follow and d = M - N. Use = 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.)

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**Kuai **, Monday, June 24, 2013 at 9:04pm
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

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**Kuai **, Monday, June 24, 2013 at 9:10pm
To get critical value look t table

Degree of freedom D = 5

ta/2 = 0.02

Critical value is 3.37

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**tracy**, Monday, June 24, 2013 at 10:35pm
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.

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**Kuai **, Tuesday, June 25, 2013 at 1:36pm
t = 3.80

P-value = 0.0063

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**Tracy 10**, Tuesday, June 25, 2013 at 3:17pm
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.

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