The density of the earth relative to the density of water is known to be 5.517 g/cm3. Henry Cavendish, an English chemist and physicist (1731€“1810), was the first scientist to accurately measure the density of the earth. Following are 29 measurements taken by Cavendish in 1798 using a torsion balance.

a. What evidence do you have that the assumption of normality is reasonable? Explain.
b. Is the mean of Cavendish€™s data significantly less than today€™s recognized standard? Use a 0.05 level of significance.

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5.50 5.6 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