The favorite sports of students in a statistics class are shown in the following fable. Students' Favorite Sports 5. Gerardo 6. Marissa 7. Angelica 8. Harold Soccer 9. Anas None 1. Calvin 2. Damon 3. Amy 4. Frank Complete parts (a) through (c) below. Football Hockey Hockey 10. Kat 11. Craig 12. Keith None None Football None None Baseball Hockey a Suppose technology randomly selects the following values: 3, 2, 12, 10, 6. 11. Use this random sample to find the proportion of students who prefer none. LType an integer or a simplified fraction.) b. Suppose technology randomly selects the following values: 3, 6, 5, 10, 2, 7. Use this random sample to find the proportion of students who prefer none. Type an integer or a simplified fraction.) c. Are the results in parts (a) and (b) equal? If yes, would all randomly selected samples of size 6 give the same results? If not, explain why this happened. O A. They are equal, because by definition all random samples must be. O B. They are not equal, because if two simple random samples have the same proportion, they cannot be different samples. OC. They are equal, although not all simple random samples must be. O D. They are not equal, because using simple random samples can lead to different samples being collected.

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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.