a professor wants to know if his introductory statistics class has a good grasp of basic math. six students are chosen at random from are class and given a math proficiency test. the professor wants to be able to score above 70 on the test. the six students get scores of 62, 92, 75, 68, 83 and 95. Can the professor have 90% confidence that the mean score for the class on the test would be above 70?
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.
Step by step
Solved in 2 steps