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Chapter 3: Q. 3.126 (page 123)
The data set has size. Approximately how many observations lie within three standard deviations to either side of the mean?
The observations that lie within three standard deviations to either side of the mean approximately are
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The Great Gretzky. Wayne Giretzy, a retired professional hockey player, played 20 seasons in the National Hockey League (NHL), from 1980 through 1999 , S, Berry explored some of Gretaky"s accomplishmeats in "A Statistician Reads the Sports Pages" (Chanee, Vol, 16, Ne, 1. Pp. 49-54). The following table shoras the sumber of games in which Greuky played during each of has 20 seasons in the NHL.
Gestation Periods of Humans. Gestation periods of humans have a mean of days and a standard deviation of days. Let denote the variable "gestation period" for humans.
a. Find the standardized variable corresponding to
b. What are the mean and standard deviation of the standardized variable?
c. Obtain the -scores for gestation periods of days and days. Round your answers to two decimal places.
d. Interpret your answers in part (c).
c. Construct a graph similar to Fig. 3.20 on page 146 that shows your results from parts (b) and (c).
Consider the data set 3,3,3,3,3,3.
Part (a) Guess the value of the sample standard deviation without calculating it. Explain your reasoning
Part (b) Use the defining formula to calculate the sample standard deviation.
Part (c) Complete the following statement and explain your reasoning. If all observation in a data set are equal, the sample standard deviation is
Part (d) Complete the following statement and explain your reasoning. If the sample standard deviation of a data set is 0 then...
Hospital Stays. The U.S. National Center for Health Statistics compiles data on the length of stay by patients in short-term hospitals and publishes its findings in Vital and Health Statistics, A random sample of 21 patients yielded the following data on length of stay, in days.
a. obtain and interpret the quartiles.
b. determine and interpret the interquartile range.
c. find and interpret the five-number summary:
d. identify potential outliers, if am:
e. construct and interpret a boxplot.
Consider the data set: .
a) Obtain the mean and median of the data.
b) Replace the in the data set by and again compare the mean and median. Decide which measure of the center works better here and explain your answer.
c) For the data set in part b) the mean is neither central nor typical for the data. The lack of what property of the mean accounts for this result.
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