Background: Henry Cavendish carried out a series of experiments in 1798 to determine the mean density of the earth, as an indirect means to calculate the gravitational constant. A measurement of 5.5 indicates the earth's density is 5.5 times that of water. 1.Perform the significance test. A.H0: μ=5.513 Ha: μ>5.513 B.H0: μ=5.513 Ha: μ<5.513 C.H0: μ=5.513 Ha: μ≠5.513 D. H0: μ≠5.513 Ha: μ=5.513 2.Compute the test statistic. Round your answer to 4 decimal places. 3.Compute the p-value

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Background: Henry Cavendish carried out a series of experiments in 1798 to determine the mean density of the earth, as an indirect means to calculate the gravitational constant. A measurement of 5.5 indicates the earth's density is 5.5 times that of water.

1.Perform the significance test.

A.H0: μ=5.513
Ha: μ>5.513

B.H0: μ=5.513
Ha: μ<5.513

C.H0: μ=5.513
Ha: μ≠5.513

D. H0: μ≠5.513
Ha: μ=5.513

2.Compute the test statistic. Round your answer to 4 decimal places.

3.Compute the p-value. Round your answer to 4 decimal places.

### Density Values

The table below lists the observed density values:

- 5.5
- 5.47
- 5.42
- 5.51
- 5.63
- 5.47
- 4.88
- 5.62
- 5.73
- 5.07
- 5.39
- 5.34
- 5.36
- 5.44
- 5.46
- 5.45
- 5.44
- 5.3
- 5.36
- 5.69
- 5.75
- 5.39
- 5.0
- 5.68
- 5.58
- 5.27
- 5.75
- 5.65
- 5.29

These data points reflect various measurements of density within a specified context. The range of values begins from a minimum of 4.88 to a maximum of 5.75. This information can be used to analyze trends, calculate averages, or conduct further statistical analysis.
Transcribed Image Text:### Density Values The table below lists the observed density values: - 5.5 - 5.47 - 5.42 - 5.51 - 5.63 - 5.47 - 4.88 - 5.62 - 5.73 - 5.07 - 5.39 - 5.34 - 5.36 - 5.44 - 5.46 - 5.45 - 5.44 - 5.3 - 5.36 - 5.69 - 5.75 - 5.39 - 5.0 - 5.68 - 5.58 - 5.27 - 5.75 - 5.65 - 5.29 These data points reflect various measurements of density within a specified context. The range of values begins from a minimum of 4.88 to a maximum of 5.75. This information can be used to analyze trends, calculate averages, or conduct further statistical analysis.
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