Mathematics, 25.03.2020 06:38 rachaelpovosky8

Suppose the head circumferences of adult males have a bell-shaped distribution with a mean of 55 cm and a standard deviation of 3 cm. (a) Explain whether or not it would be unusual for an adult male to have a 49-cm head circumference.

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Z scores of -2 or lower are considered unusually low. Since the z-score of a 49-cm head circunference is -2, it is an unusual measure.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Z scores of -2 or lower are considered unusually low, and zscores of 2 or higher are considered unusually high.

In this problem, we have that:

$\mu = 55, \sigma = 3$

49cm head circunference unusual?

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{49 - 55}{3}$

Z = -2

Z scores of -2 or lower are considered unusually low. Since the z-score of a 49-cm head circunference is -2, it is an unusual measure.

Answer from: Quest

answer:

payment just for service

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87.12

payment for service including tax

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94.09

explanation:

service only with 20% tip

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87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the

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so technically the answer is

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72.6

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however, the intention of the question provider may have been that your answer is to be

87.12

(

100

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94.09

to 2 decimal places.

payment just for service

→

87.12

payment for service including tax

→

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge

→

72.60

20% tip

100

72.60

14.52

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add

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