26. Suppose that in a certain forest, 25% of the trees have squirrel nests. It turns out that the sampling distribution for the proportion of trees with squirrels in samples of 50 trees approximately Normally distributed with a mean of 25% and a standard deviation of 6%. If you take a sample of 50 trees from this forest, what is the probability that fewer than 15% of the trees in you sample have squirrel nests? (a) 0.025 (b) 0.048 (c) 0.452 (d) 0.548 (e) 0.952
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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