Given that a distribution on a test has a mean of 70 and a standard deviation of 12 A. Find the probability that a single score drawn at random will be greater than 80 B. Find the probability that a sample of 25 scores will have a mean greater than 80 C. Find the probability that a sample of 64 scores will have a mean greater than 80 *Please do not solve using Microsoft Excel. My professor is not teaching using excel. I would like to see the steps involved to solving the problem for my own study reference for exams.*
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.
Given that a distribution on a test has a
A. Find the
B. Find the probability that a sample of 25 scores will have a mean greater than 80
C. Find the probability that a sample of 64 scores will have a mean greater than 80
*Please do not solve using Microsoft Excel. My professor is not teaching using excel. I would like to see the steps involved to solving the problem for my own study reference for exams.*
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