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