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.

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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PLEASE ONLY SELECT THE ANSWERS AS SHOWN FOR THE MULTIPLE CHOICE, SUCH AS OPTION 1, 2, ETC.

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?

H0: μ=1.00 in magnitude

H1: μ>1.00 in magnitude

H0: μ=1.00 in magnitude

H1: μ<1.00 in magnitude

H0: μ≠1.00 in magnitude

H1: μ=1.00 in magnitude

H0: μ=1.00 in 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.

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

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.

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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