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Chapter 3: Q. 3.199 (page 147)

Heights of Basketball Players. In Section 3.2, we analyzed the heights of the starting five players on each of two men's college basketball teams. The heights, in inches, of the players on Team II are 67,72,76,76and 84. Regarding the five players as a population. solve the following problems.

a. Compute the population mean height, μ.

b. Compute the population standard deviation of the heights, σ.

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Most popular questions from this chapter

What condition on a data set is required to apply the Empirical rule?

Simple data sets have been given for you to try locating the descriptive metrics mentioned in this section. For each data set separately.

(a) Calculate the quartiles,

(b) calculate the interquartile range

(c)compile a five-number summary.

1,2,3,4,5

Copperhead and Tiger Snakes. S. Fearn et al. compare two types of snakes in the article “Body Size and Trophic Divergence of Two Large Sympatric Elapic Snakes in Tasmania” (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?

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.

How many standard deviations to either side of the mean must we go to ensure that for any data set, at least 95%of the observations lie within?
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