In 1798 the English scientist Henry Cavendish measured the density of the Earth with great care. It is common practice to repeat careful measurements many times. Cavendish repeated hiswork 29 times. Here are his results (the data give the density of the Earth as a multiple of the density of water):
5.50 5.61 4.88 5.07 5.26 5.55 5.36 5.29
5.58 5.65 5.57 5.53 5.62 5.29 5.44 5.34
5.79 5.10 5.27 5.39 5.42 5.47 5.63 5.34
5.46 5.30 5.75 5.68 5.85
If Cavendish's measurements had no bias, the mean of all measurements he could have made would be the true density of the Earth. The modern figure for the density of the Earth is 5.517 times the density of water. Is there enough evidence to believe that the mean of all measurements that Cavendish could have made differs from 5.517?