Coin tosses In a large class of introductory Statistics stu-dents, the professor has each person toss a coin 16 times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the pro-fessor plots a histogram of these several proportions. a) What shape would you expect this histogram to be? Why?b) Where do you expect the histogram to be centered?c) How much variability would you expect among theseproportions?d) Explain why a Normal model should not be used here.
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.
dents, the professor has each person toss a coin 16 times
fessor plots a histogram of these several proportions.
b) Where do you expect the histogram to be centered?c) How much variability would you expect among these
proportions?
d) Explain why a Normal model should not be used here.
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