Question: 3.43 Are the data Normal? Acidity of rainfall. Exercise 3.27 concerns the acidity (measured by pH) of rainfall. A sample of 105 rainwater specimens had

3.43 Are the data Normal? Acidity of rainfall. Exercise 3.27 concerns the acidity (measured by pH) of rainfall. A sample of 105 rainwater specimens had mean pH 5.43, standard de viation 0.54, and five-number summary 4.33, 5.05, 5.44, 5.79, 6.81.'°

(a) Compare the mean and median and also the distances of the two quartiles from the median. Does it appear that the dis tribution is quite symmetric? Why?

(b) If the distribution is really N(5.43, 0.54), what proportion of observations would be less than 5.05? Less than 5.79? Do these proportions suggest that the distribution is close to Nor mal? Why?

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