The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. LOADING... Click the icon to view the table. a. Find the probability of getting exactly 1 girl in 8 births. nothing (Type an integer or a decimal. Do not round.) b. Find the probability of getting 1 or fewer girls in 8 births. nothing (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 1 is a significantly low number of girls in 8 births: the result from part (a) or part (b)? A. Since the probability of getting more than 1 girl is the complement of the result from part (b), this is the relevant probability. B. Since getting 0 girls is an even lower number of girls than getting 1 girl, the result from part (b) is the relevant probability. C. Since the probability of getting 0 girls is less likely than getting 1 girl, the result from part (a) is the relevant probability. D. Since the probability of getting 1 girl is the result from part (a), this is the relevant probability. d. Is 1 a significantly low number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. A. No, since the appropriate probability is less than 0.05, it is not a significantly low number. B. Yes, since the appropriate probability is greater than 0.05, it is a significantly low number. C. No, since the appropriate probability is greater than 0.05, it is not a significantly low number. D. Yes, since the appropriate probability is less than 0.05, it is a significantly low number. Probability Distribution for x Number of Girls x P(x) 0 0.002 1 0.009 2 0.105 3 0.238 4 0.292 5 0.238 6 0.105 7 0.009 8 0.002
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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Number of
Girls x
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P(x)
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---|---|---|---|
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0
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0.002
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1
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0.009
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2
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0.105
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3
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0.238
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4
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0.292
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5
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0.238
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6
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0.105
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7
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0.009
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8
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0.002
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