The accompanying data table lists the magnitudes of 50earthquakes 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. What are the hypotheses? A. H0:μ=1.00In magnitude H1:μ≠1.00in magnitude B. H0:μ≠1.00in magnitude H1:μ=1.00in magnitude C. H0:μ=1.00in magnitude H1:μ>1.00in magnitude D. H0:μ=1.00in magnitude H1:μ<1.00 in magnitude 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.) 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. Fail to reject H0. There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. D.Reject H0.There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. 1: Magnitudes of 50 earthquakes Magnitude of Earthquake 0.690 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 0.390 1.280 0.830 1.330 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 50earthquakes 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. What are the hypotheses? A. H0:μ=1.00In magnitude H1:μ≠1.00in magnitude B. H0:μ≠1.00in magnitude H1:μ=1.00in magnitude C. H0:μ=1.00in magnitude H1:μ>1.00in magnitude D. H0:μ=1.00in magnitude H1:μ<1.00 in magnitude 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.) 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. Fail to reject H0. There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. D.Reject H0.There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00. 1: Magnitudes of 50 earthquakes Magnitude of Earthquake 0.690 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 0.390 1.280 0.830 1.330 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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The accompanying data table lists the magnitudes of 50earthquakes 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.
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.
What are the hypotheses?
H0:μ=1.00In magnitude
H1:μ≠1.00in magnitude
H0:μ≠1.00in magnitude
H1:μ=1.00in magnitude
H0:μ=1.00in magnitude
H1:μ>1.00in magnitude
H0:μ=1.00in magnitude
H1:μ<1.00 in magnitude
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.)Choose the correct answer below.
Fail to reject H0. There is insufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.
Fail to reject H0. There is sufficient evidence to conclude that the population of earthquakes has a mean magnitude greater than 1.00.
1: Magnitudes of 50 earthquakes
|
Magnitude of Earthquake
|
|||||||||
|
0.690
|
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
|
0.390
|
1.280
|
0.830
|
1.330
|
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
|
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