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