Question

The accompanying data table lists the magnitudes of

5050

earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than

1.001.00.

Use a

0.010.01

significance level. Identify the null​ hypothesis, alternative​ hypothesis, test​statistic, P-value, and conclusion for the test. Assume this is a simple random sample.

0.720
0.740
0.640
0.390
0.700
2.200
1.980
0.640
1.220
0.200
1.640
1.320
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
1.320
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.

Upper H 0H0​:

muμequals=1.001.00

in magnitude

Upper H 1H1​:

muμless than<1.001.00

in magnitude

B.

Upper H 0H0​:

muμnot equals≠1.001.00

in magnitude

Upper H 1H1​:

muμequals=1.001.00

in magnitude

C.

Upper H 0H0​:

muμequals=1.001.00

in magnitude

Upper H 1H1​:

muμgreater than>1.001.00

in magnitude

D.

Upper H 0H0​:

muμequals=1.001.00

in magnitude

Upper H 1H1​:

muμnot equals≠1.001.00

in magnitude

Identify the test statistic.

tequals=nothing

​(Round to two decimal places as​ needed.)

Identify the​ P-value.

The​ P-value is

nothing.

​(Round to three decimal places as​ needed.)

Choose the correct answer below.

A.

RejectReject

Upper H 0H0.

There is

sufficientsufficient

evidence to conclude that the population of earthquakes has a mean magnitude greater than

1.001.00.

B.

Fail to rejectFail to reject

Upper H 0H0.

There is

sufficientsufficient

evidence to conclude that the population of earthquakes has a mean magnitude greater than

1.001.00.

C.

RejectReject

Upper H 0H0.

There is

insufficientinsufficient

evidence to conclude that the population of earthquakes has a mean magnitude greater than

1.001.00.

D.

Fail to rejectFail to reject

Upper H 0H0.

There is

insufficientinsufficient

evidence to conclude that the population of earthquakes has a mean magnitude greater than

1.001.00.

Answer 1