Magnitude of Earthquake 0.710 0.740 0.640 0.390 0.700 2.200 1.980 0.640 1.220 0.

Question

Magnitude of Earthquake   

0.710
0.740
0.640
0.390
0.700
2.200
1.980
0.640
1.220
0.200
1.640
1.310
2.950
0.900
1.760
1.010
1.260
0.000
0.650
1.460
1.620
1.830
0.990
1.560
0.390
1.280
0.830
1.340
0.540
1.250
0.920
1.000
0.780
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

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, altemative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample

Explanation / Answer

The statistical software output for this problem is:

One sample T hypothesis test:
: Mean of variable
H0 : = 1
HA : > 1

Hypothesis test results:

Hence,

Hypotheses:

H0 : = 1
HA : > 1

Test statistic = 2.21

P - value = 0.0158

Since p - value is less than 0.05, we reject Ho. Hence,

We have sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.

Variable Sample Mean Std. Err. DF T-Stat P-value Magnitude of Earthquake 1.1838 0.083087311 49 2.2121308 0.0158

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