Henry Cavendish (1731-1810) provided direct experimental evidence of Newton's law of universal gravitation, which specifies the force of attraction between two masses. In an experiment with known masses determined by weighing, the measured force can also be used to calculate a value for the density of the earth. The values of the earth's density from Cavendish's renowned experiment in time order by column are

[These data were published in Philosophical Transactions, 17(1798), p. 469.] Find a 99% confidence interval for the density of the earth.

Transcribed Image Text:

5.36 5.62 5.27 5.46 5.29 5.295.39 5.30 5.58 5.445.42 5.75 5.65 5.34 5.47 5.68 5.57 5.795.635.85 5.53 5.105.34