In: Statistics and Probability
The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.01 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.
Magnitude of Earthquake
| 0.69 | 
| 0.74 | 
| 0.64 | 
| 0.39 | 
| 0.7 | 
| 2.2 | 
| 1.98 | 
| 0.64 | 
| 1.22 | 
| 0.2 | 
| 1.64 | 
| 1.33 | 
| 2.95 | 
| 0.9 | 
| 1.76 | 
| 1.01 | 
| 1.26 | 
| 0 | 
| 0.65 | 
| 1.46 | 
| 1.62 | 
| 1.83 | 
| 0.99 | 
| 1.56 | 
| 0.38 | 
| 1.28 | 
| 0.83 | 
| 1.34 | 
| 0.54 | 
| 1.25 | 
| 0.92 | 
| 1 | 
| 0.79 | 
| 0.79 | 
| 1.44 | 
| 1 | 
| 2.24 | 
| 2.5 | 
| 1.79 | 
| 1.25 | 
| 1.49 | 
| 0.84 | 
| 1.42 | 
| 1 | 
| 1.25 | 
| 1.42 | 
| 1.35 | 
| 0.93 | 
| 0.4 | 
| 1.39 | 
Identify the test statistics please
P-value
and if it Fail to reject or not? Thank you