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.

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	1.310	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	1.330	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

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=1.00 in magnitude

D. H0: μ=1.00 in magnitude

H1: μ<1.00 in magnitude

2. Identify the test statistic.

t = _________(Round to two decimal places as needed.)

3. Identify the P-value.

The P-value is _________ (Round to three decimal places asneeded.)

4. Choose the correct answer below.

A. Reject H0 There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.

B. Reject H0 There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.

C. Fail to reject H0 There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.

D. Fail to reject H0 There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.

Answer rating: 100% (QA)

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