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 0.05 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample.
Click the icon to view the sample data.
What are the hypotheses?
A. H0: μ = 1.00 in magnitude
H1: μ > 1.00 in magnitude
B. H0: μ = 1.00 in magnitude
H1: μ < 1.00 in magnitude
C. H0: μ = 1.00 in magnitude
H1: μ ā 1.00 in magnitude
D. H0: μ ā 1.00 in magnitude
H1: μ = 1.00 in magnitude
Magnitudes of 50 earthquakes
Magnitude of Earthquake
0.720 0.740 0.640 0.390 0.700 2.200 1.980 0.640 1.220 0.200
1.640 1.330 2.950 0.900 1.760 1.010 1.260 0.000 0.650 1.460
1.620 1.830 0.990 1.560 0.410 1.280 0.830 1.330 0.540 1.250
0.920 1.000 0.790 0.790 1.440 1.000 2.240 2.500 1.790 1.250
1.490 0.840 1.420 1.000 1.250 1.420 1.350 0.930 0.400 1.390