# Refer to the data in Exercise

Refer to the data in Exercise 42 of Section 7.4.

a. Use a smoothing parameter of   .5 to create a kernel density plot for this data.

b. Repeat part (a) using a smoothing parameter of   .3.

c. Which of the plots in parts (a) and (b) appears to fit the data better?

Exercise 42

The article “Measuring and Understanding the Aging of Kraft Insulating Paper in Power Transformers” (IEEE Electrical Insul. Mag., 1996: 28–34) contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain range:

a. Construct a boxplot of the data and comment on any interesting features.

b. Is it plausible that the given sample observations were selected from a normal distribution?

c. Calculate a two-sided 95% confidence interval for true average degree of polymerization (as did the authors of the article). Does the interval suggest that 440 is a plausible value for true average degree of polymerization? What about 450?

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# Refer to the data in Exercise

Refer to the data in Exercise 46 of Section 7.4.

a. Use a smoothing parameter of   .5 to create a kernel density plot for this data.

b. Repeat part (a) using a smoothing parameter of   .3.

c. Which of the plots in parts (a) and (b) appears to fit the data better?

Exercise 46

A study of the ability of individuals to walk in a straight line (“Can We Really Walk Straight?” Amer. J. of Physical Anthro., 1992: 19–27) reported the accompanying data on cadence (strides per second) for a sample of n  20 randomly selected healthy men:

A normal quantile plot gives substantial support to the assumption that the population distribution of cadence is approximately normal. A descriptive summary of the data from Minitab follows:

a. Calculate and interpret a 95% confidence interval for population mean cadence.

b. Calculate and interpret a 95% prediction interval for the cadence of a single individual randomly selected from this population.

c. Calculate an interval that includes at least 99% of the cadences in the population distribution using a confidence level of 95%.

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