Chapter 2: Problem 49
Draw any dotplot to show a dataset that is Clearly skewed to the left.
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Chapter 2: Problem 49
Draw any dotplot to show a dataset that is Clearly skewed to the left.
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Each describe a sample. The information given includes the five number summary, the sample size, and the largest and smallest data values in the tails of the distribution. In each case: (a) Clearly identify any outliers, using the IQR method. (b) Draw a boxplot. Five number summary: (5,10,12,16,30)\(;\) \(n=40 .\) Tails: \(5,5,6,6,6, \ldots, 22,22,23,28,30 .\)
Multiple studies \(^{61}\) in both animals and humans show the importance of a mother's love (or the unconditional love of any close person to a child) in a child's brain development. A recent study shows that children with nurturing mothers had a substantially larger area of the brain called the hippocampus than children with less nurturing mothers. This is important because other studies have shown that the size of the hippocampus matters: People with large hippocampus area are more resilient and are more likely to be able to weather the stresses and strains of daily life. These observations come from experiments in animals and observational studies in humans. (a) Is the amount of maternal nurturing one receives as a child positively or negatively associated with hippocampus size? (b) Is hippocampus size positively or negatively associated with resiliency and the ability to weather the stresses of life? (c) How might a randomized experiment be designed to test the effect described in part (a) in humans? Would such an experiment be ethical? (d) Can we conclude that maternal nurturing in humans causes the hippocampus to grow larger? Can we conclude that maternal nurturing in animals (such as mice, who were used in many of the experiments) causes the hippocampus to grow larger? Explain.
For the datasets. Use technology to find the following values: (a) The mean and the standard deviation. (b) The five number summary. 10,11,13,14,14,17,18,20,21,25,28
Give the correct notation for the mean. The average number of television sets owned per household for all households in the US is 2.6 .
Examine issues of location and spread for boxplots. In each case, draw sideby- side boxplots of the datasets on the same scale. There are many possible answers. One dataset has median 50, interquartile range 20 , and range 40 . A second dataset has median 50, interquartile range 50 , and range 100 . A third dataset has median 50 , interquartile range 50 , and range 60 .
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