In: Statistics and Probability
| 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.
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