a) Perform an appropriate hypotheses test at the 5% level, to determine if Wrigley’s claim for the proportion of yellow skittles is correct. b) Describe, in context, the ways you can increase power in your test from part a. c) Use your knowledge of confidence intervals to support the argument you found in part a.
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.
The Wrigley Company, makers of Skittles candy, claims that they produce Skittles with the following distributions: 20% purple, 18% red, 14% yellow, 24% green, and 24% orange. You want to determine if the Wrigley Company’s claim for the proportion of yellow Skittles is correct. You randomly select a bag of plain Skittles from the grocery store shelf and count 15 yellow Skittles out of 75 total Skittles. a) Perform an appropriate hypotheses test at the 5% level, to determine if Wrigley’s claim for the proportion of yellow skittles is correct. b) Describe, in context, the ways you can increase power in your test from part a. c) Use your knowledge of confidence intervals to support the argument you found in part a.
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