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Chapter 3: Q. 3.179 (page 138)

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 1. composed of 37patients, was put on a program of dieting with exercise. Group 2. composed of 36patients, dieted only. The results for weight loss, in pounds, after 2months are summarized in the following boxplots. The top boxplot is for Group 1. and the bottom boxplot is for Group 2. Use the boxplots to compare the weight losses for the two groups, paying special attention to center and variation.

Short Answer

Expert verified

Weight loss differences in group 1are less than weight loss differences in group 2.

Step by step solution

01

Given information

We need to find out the variation of weight loss in group 1and group 2.

02

Explanation

The whiskers of the boxplot are of low and high value. The box starts at the lower quartile, ends at the upper quartile, and has a straight vertical line at the median.

In general, both groups seem to lose almost the same amount as the median is almost identical in both groups

Now, the weight loss variant in group 1is less than the weight loss variant in group 2because its boxplot is slightly wider than the boxplot of group 2.

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Most popular questions from this chapter

Fill in the following blanks.

(a) A standardized variable always has mean _____ and standard deviation _______ .

(b) The z-score corresponding to an observed value of a variable tells you ______ .

(c) A positive z-score indicates that the observation is ______ the mean, whereas a negative z-score indicates that the observation is _______ the mean.

Gestation Periods of Humans. Gestation periods of humans have a mean of 266days and a standard deviation of 16days. Let ydenote the variable "gestation period" for humans.

a. Find the standardized variable corresponding toy

b. What are the mean and standard deviation of the standardized variable?

c. Obtain the z-scores for gestation periods of 227days and 315days. 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).

Which measure of variation is preferred when

(a) the mean is used as a measure of center?

(b) the median is used as a measure of center?

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.

a) Determine the mode of the data.
b) Decide whether it would be appropriate to use either the mean or median as a measure of center. Explain your answer.

Medical School Faculty. The Association of American Medical College (AAMC) in a compiles data on medical school facility and publishes the results in AAMC Faculty Roster. The following table presents a frequency distribution of rank for medical school faculty during one year.
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