Normal distribution problem: Mean = 10; SD = 2; X=8, X=12 A farmer believes that the yields of his tomato plants have a normal distribution with an average yield of 10 lbs. and a standard deviation of 2 lbs. The farmer would like to identify the plants which yield the highest 5% and save them for breeding purposes. Calculate the yield which separates the highest 5% of yields from the lowest 95% of yields. Q: Do I use a Norm.Dist function in Excel to calculate the highest 5% and the lowest 95%? Thanking you in advance for your help!
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.
A farmer believes that the yields of his tomato plants have a normal distribution with an average yield of 10 lbs. and a standard deviation of 2 lbs. The farmer would like to identify the plants which yield the highest 5% and save them for breeding purposes. Calculate the yield which separates the highest 5% of yields from the lowest 95% of yields.
Q: Do I use a Norm.Dist
Thanking you in advance for your help!
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