The data given to the right includes data from 38 candies, and 6 of them are red. The company that makes the candy claims that 33% 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 33%? Weights (g) of a Sample Bag of Candy Red Blue Brown Green 0.956 Yellow 0.958 0.723 0.918 0.766 0.718 0.931 0.932 0.921 Construct a 90% confidence interval estimate of the population percentage of candies that are red. 0.745 0.759 0.921 0.827 0.822 0.947 0.897 0.888 0.862 0.989 0.736 D%
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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