Chapter 3: Q. 3.154 (page 136)
Identify a use of lower and upper limits.
Short Answer
The upper and lower limits are use to detect whether the variations in the production process are out of control or not.
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Chapter 3: Q. 3.154 (page 136)
Identify a use of lower and upper limits.
The upper and lower limits are use to detect whether the variations in the production process are out of control or not.
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In this exercise, you will compare Chebyshev's rule and the empirical rule.
a. Compare the estimates given by the two rules for the percentage of observations that lie within two standard deviations to either side of the mean. Comment on the differences.
b. Compare the estimates given by the two rules for the percentage of observations that lie within three standard deviations to either side of the mean. Comment on the differences.
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.
Obesity. Researchers in obesity wanted to compare the effectiveness of dieting with exercise against dieting without exercise. Seventy-three patients were randomly divided into two groups. Group . composed of patients, was put on a program of dieting with exercise. Group . composed of patients, dieted only. The results for weight loss, in pounds, after months are summarized in the following boxplots. The top boxplot is for Group . and the bottom boxplot is for Group . Use the boxplots to compare the weight losses for the two groups, paying special attention to center and variation.

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.

Find the
a. Mean b. median c. mode
For the mean and the median, round each answer to one more decimal place than that used for the observations.
Daily Motorcycle Accidents. The Scottish Executive, Analy. tical Services Division Transport Statistics, compiles data on motor cycle accidents. During one year, the numbers of motorcycle accidents in Scotland were tabulated by day of the week for built-up roads and non-built-up roads and resulted in the following data .

a. Find the mean and median of the number of accidents for built-up roads.
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