.3 Testing a Claim About a Mean 9 of 10 (9 complete) ▼ HW Sco O Magnitudes of 50 earthquakes nd Magnitude of Earthquake O 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 la 1.830 0.990 1.560 0.410 1.280 0.830 1.330 0.540 1.250 1.620 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 we Print Done nonsanhaltons.

Name: The accompanying data table lists the magnitudes of 50 earthquakes mea
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Description: 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,

Solution: State the hypotheses. Null hypothesis: That is, the population of earthquakes has mean…

Answered: .3 Testing a Claim About a Mean 9 of 10 (9 complete) ▼ HW Sco O Magnitudes of 50 earthquakes nd Magnitude of Earthquake O 0.720 0.740 0.640 0.390 0.700 2.200…

MATLAB: An Introduction with Applications

6th Edition

ISBN: 9781119256830

Author: Amos Gilat

Publisher: John Wiley & Sons Inc

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Question

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.

.3 Testing a Claim About a Mean
9 of 10 (9 complete) ▼
HW Sco
O Magnitudes of 50 earthquakes
nd
Magnitude of Earthquake O
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
la
1.830
0.990
1.560
0.410
1.280
0.830
1.330
0.540
1.250
1.620
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
we
Print
Done
nonsanhaltons.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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