The data given to the right includes data from 41 candies, and 10 of them are red. The company that makes the candy claims that 29% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 29%? Weights (g) of a Sample Bag of Candy Red Blue Brown Green Yellow 0.783 0.803 0.744 0.901 0.864 0.768 0.881 0.718 0.812 0.777 0.982 0.966 0.736 Construct a 90% confidence interval estimate of the population percentage of candies that are red. 0.701 0.836 0.999 0.947 0.717 0.716 0.704 0.792 0.864 0.711 %
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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