a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 20. The value of the mean is u = 15 peas. (Type an integer or a decimal. Do not round.) The value of the standard deviation is o = 1.9 peas. (Round to one decimal place as needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of 11.1 peas or fewer are significantly low. (Round to one decimal place as needed.) Values of 18.8 peas or greater are significantly high. (Round to one decimal place as needed.) c. Is a result of 7 peas with green pods a result that is significantly low? Why or why not? The result is significantly low, because 7 peas with green pods is less than 11.1 peas. (Round to one decimal place as needed.)
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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