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Chapter 3: Q. 3.124 (page 123)
The data set has size . Approximately how many observations lie within two standard deviations to either side of the mean?
The observations that lie within two standard deviations to either side of the mean approximately are.
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Copperhead and Tiger Snakes. S. Fearn et al. compare two types of snakes in the article 鈥淏ody Size and Trophic Divergence of Two Large Sympatric Elapic Snakes in Tasmania鈥� (Australian Journal of Zoology, Vol. 60, No. 3, pp. 159-165). Tiger snakes and lowland copperheads are both large snakes confined to the cooler parts of Tasmania. The weights of the male lowland copperhead in Tasmania have a mean of 812.07 g and a standard deviation of 330.24 g; the weights of the male tiger snake in Tasmania have a mean of 743.65 g and a standard deviation of 336.36 g.
a. Determine the z-scores for both a male lowland copperhead snake and a male tiger snake whose weights are 850 g.
b. Under what conditions would it be reasonable to use z-scores to compare the relative standings of the weights of the two snakes?
c. Assuming that a comparison using z-scores is legitimate, relative to the other snakes of its type, which snake is heavier?
Find the
a. Mean b. median c. models
For the mean and the median, round each answer to one more decimal place than that used for the observations.
Amphibian Embryos. In a study of the effects of radiation on amphibian embryos titled "Shedding Light on Ultraviolet Radiation and Amphibian Embryos" L. Licht recorded the time it took for a sample of seven different species of frogs' and toads' eggs to hatch. The following table shows the times to hatch, in days.
We have provided simple data set for you to practices the basics of finding measures of center. For each data set determine the:
a) Mean
b)Median
c) Mode.
The given data set is
Identify an advantage that the median and interquartile range have over the mean and standard deviation, respectively.
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.
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