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. 0.720 0.740 0.640 0.390 0.700 2.200 1.980 0.640 1.220 0.200 1.640 1.340 2.950 0.900 1.760 1.010 1.260 0.000 0.650 1.460 1.620 1.830 0.990 1.560 0.380 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 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.) Identify the P-value The P-value is (Round to three decimal places as needed.) 3) Choose the correct answer below. A. Fail to 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. 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.
PLEASE ONLY SELECT THE ANSWERS AS SHOWN FOR THE MULTIPLE CHOICE, SUCH AS OPTION 1, 2, ETC.
1)
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.
0.720
0.740
0.640
0.390
0.700
2.200
1.980
0.640
1.220
0.200
1.640
1.340
2.950
0.900
1.760
1.010
1.260
0.000
0.650
1.460
1.620
1.830
0.990
1.560
0.380
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
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.)
Identify the P-value
The P-value is (Round to three decimal places as needed.)
3)
Choose the correct answer below.
A.
Fail to 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.
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.
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