The NFL needs to buy a new batch of official coins for the pre-game coin flip. They get 3 sample coins f manufacturer based in Sweden, and tell their intern to flip all 3 coins simultaneously multiple times and the number of heads each time. The intern gets: 0 heads 6 times; 1 head 8 times; 2 heads 8 times; and 3 11 times. Should the NFL buy coins from that manufacturer, i.e., are the coins fair or not? Calculate the test statistic. X? number (rtol=0.1, atol=0.0001) Calculate the p-value at a = 0.1. p_val number (rtol=0.01, atol=0.0001) State your decision. O (a) Reject HO O (b) Cannot Reject HO
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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