B. George takes his friend Chloe to "Old Guts And Glory"- a popular restaurant chain. The specialty on the menu goes under the ominous title "Lethal Burger" and its lethal statistics are proudly displayed: Total Number of Food Food Poisoned Customers who Food Poisoned Customers who got sick after Lethal Burger got sick after ordering another item from OGAG menu Poisonings within OGAG chain 7,419 5,236 2,183 George orders the Lethal Burger for Chloe, exclaiming with a smile "Try it! It's the best thing on the menu!" Thereupon Chloe gets extremely irritated and upset: "You are trying to make me sick! If I eat the Burger, my chances of getting acutely ill are over 70%. l don't want to talk to you ever again!" (a) Do you agree with Chloe's reasoning? Explain. (b) Suppose that OGAG had 6,211,381 customers this season, 5, 267, 490 of which have eaten the Lethal Burger. What is one's probability of getting food poisoning after eating the LB?
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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