Question

I know this is a T- statistics test. Do you use this formula: .

t=_ tSIn There is an earthquake classification system with 4 kinds of earthquakes using the system. Taking the average magnitude of earthquakes over 3 month time periods in a region around Shanghai we find the table below describes the average magnitude and standard deviation of that average. For each average 192 time periods where 3) measured 3 Class of earthquake magnitude Sqrt (count) 5.02 1.08 3.08 0.49 4.97 1.09 3.06 0.40 Calculate each of the 6 distinct t statistics testing the differences between the means, and test if they are different at the .005 level. With 192 observations assume a normally distributed test statistic. a.

Answer 1

Giv Magnitde 3-08 5-0 2 48 Syrt (Count)-os df 382 tical O 0u5/ 382 ./t (Oritical-tQ.823џ Nesto state the NII and atte motive hyRthes泯 VS

Now to find test- Statisti c ズーオ2. 192 0-05 0 os- O oo6 0.006 t 508 Conclusion _

Vs - 005 tc2.8234 S3 502- 3-00 @.08) 2., 118 (0.4oY- I12 0 0069 .9 6 0.08 3 t 23.5e Value 0 .000 o О-005 Value 1O-0cdo

|(iii) Newt state “, critical _-1323 Now to fnd tet- statistic Xt-Xt t9 1.2 l72 .14 0 00 t0 0012 0.00 13 t-& 212 P-value 0.0000 F-voke 10.000°) <-d(0.005

Conclusioo Theneis Signifi cat evidence Pt that Claim 9rou