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. E Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. Probability Distribution for x (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. Number of Girls x P(x) 0.001 0.025 (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? 0.109 0.188 0.354 0.188 O A. The result from part a, since it less than the probability of the given or more extreme result. 3 4 O B. The result from part b, since it is the complement of the result of part a. 5 OC. The result from part b, since it is the probability of the given or more extreme result. 6 0.109 0.025 O D. The result from part a, since it is the exact probability being asked. 0.001 d. Is 6 a significantly high number of girls in 8 births? Why or why not? Use 0.05 as the threshold for a significant event. O A. Yes, since the appropriate probability is greater than 0.05, it is a significantly high number. O B. No, since the appropriate probability is greater than 0.05, it is not a significantly high number. Print Done OC. No, since the appropriate probability is less than 0.05, it is not a significantly high number. O D. Yes, since the appropriate probability is less than 0.05, it is a significantly high number.
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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