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Chapter 3: Q 3.6. (page 100)
Complete the following statement: The descriptive measure is resistant if .......
The descriptive measure is resistant if it is not sensitive to the influence of a few extreme observation.
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Explain why minimum and maximum observations are added to the three quartiles to describe better the variation in a data set.
Sickle Cell Disease. A study published by E. Anionwu et al. in the British Medical Journal (Vol. , pp. ) examined the steady-state hemoglobin levels of patients with three different types of sickle cell disease: HB SC. HB SS. and HB ST. Use the following boxplots to compare the hemoglobin levels for the three groups of patients, paying special attention to center and variation.
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.
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.
Objects such as asteroids and comets that come into proximity with the Earth are called near-Earth objects (NEOs). The National Aeronautics and Space Administration (NASA) tracks and catalogues all NEOs that are at least kilometer wide. Data on NEOs can be found on the NASA website; The following table gives the relative velocities in kilometers per second , arranged in increasing order, for the NEO close approaches to the earth during June .
The sample mean and sample standard deviation of these velocities are and respectively.
a. Compare the percentage of the observations that actually lie within two standard deviations to either side of the mean with that given by Chebyshev's rule with
b. Repeat part (a) with
c. Interpret your results from parts (a) and (b).
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