Question

In: Statistics and Probability

March 17-April 1 -2.05 March 18 - April 2 -2.0 March 19 - April 4 -2.02...

March 17-April 1 -2.05
March 18 - April 2 -2.0
March 19 - April 4 -2.02
March 20 - April 5 -2.03
March 22 - April 6 -1.77
March 24 - April 10 -1.41
March 25 - April 12 -1.6
March 27 - April 13 -1.38
March 28 - April 15 -1.38
March 30 - April 16 -1.16
Mean = -1.68
Standard Deviation = 0.34

Do the following.

d) For each country test at 5% level if the mean for March is different from the mean for April using 10 paired samples.

Solutions

Expert Solution

using excel>addin>phstat>two sample test >paired t

we have

Paired t Test
Data
Hypothesized Mean Difference 0
Level of significance 0.05
Intermediate Calculations
Sample Size 10
DBar -1.6800
Degrees of Freedom 9
SD 0.3359
Standard Error 0.1062
t Test Statistic -15.8181
Two-Tail Test
Lower Critical Value -2.2622
Upper Critical Value 2.2622
p-Value 0.0000
Reject the null hypothesis

since p value is less than 0.05 fo rgiven data so we can say that  the mean for March is different from the mean for April


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