A marketing company has randomly surveyed 194 men who watch professional sports. The men were separated according to their educational level (college degree or not) and whether they preferred the NBA or the National Football League (NFL). The results of the survey are shown to the right. Complete parts a through d. Sports Preference NBA College Degree 37 No College o Degree 52 NFL 10 95 a. What is the probability that a randomly selected survey participant prefers the NFL? (Round to four decimal places as needed.) b. What is the probability that a randomly selected survey participant has a college degree and prefers the NBA? (Round to four decimal places as needed.) c. Suppose a survey participant is randomly selected and you are told that he has a college degree. What is the probability that this man prefers the NFL? (Round to four decimal places as needed.) d. Is a survey participant's preference for the NBA independent of having a college degree? No. The two events are not independent. O Yes. The two events are independent.
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.
Please make sure to round the results to four decimal places.
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