A senior high school student is concerned about attending college because she heard that many college students require more than 4 years to earn a bachelor’s degree. Assuming that the population is normally distributed, test the claim that the mean time to earn a bachelor’s degree is greater than 5 years. Sample data consist of mean of 5.25 years and a sample standard deviation of 1.42 years for 25 randomly selected college graduates. Use a= 0.05
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 senior high school student is concerned about attending college because she heard
that many college students require more than 4 years to earn a bachelor’s degree.
Assuming that the population is
to earn a bachelor’s degree is greater than 5 years. Sample data consist of mean of 5.25 years and a sample standard deviation of 1.42 years for 25 randomly selected college graduates. Use a= 0.05
Step by step
Solved in 3 steps