The accompanying summary data on CeO2 particlesizes (nm) under certain experimental

Chapter 1, Problem 12

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The accompanying summary data on CeO2 particlesizes (nm) under certain experimental conditions wasread from a graph in the article NanoceriaEnergetics of Surfaces, Interfaces and WaterAdsorption (J. of the Amer. Ceramic Soc., 2011:39923999):3.0<3.5 3.5<4.0 4.0<4.5 4.5<5.0 5.0<5.5 5 15 27 34 225.5<6.0 6.0<6.5 6.5<7.0 7.0<7.5 7.5<8.0 14 7 2 4 1a. What proportion of the observations are less than 5?b. What proportion of the observations are at least 6?c. Construct a histogram with relative frequency onthe vertical axis and comment on interesting features.In particular, does the distribution of particlesizes appear to be reasonably symmetric orsomewhat skewed? [Note: The investigators fit alognormal distribution to the data; this is discussedin Chapter 4.]d. Construct a histogram with density on the verticalaxis and compare to the histogram in (c).

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