The time needed for college students to complete a certain paper-and-pencil maze follows a normal distribution with a mean of 30 seconds and a population standard deviation of 3.1 seconds. You wish to see if the mean time (u) is changed by vigorous exercise, so you have a group of 15 college students exercise vigorously for 30 minutes and then complete the maze. It takes them an average of Xbar = 29 seconds to complete the maze. Use this information to test the hypotheses H0: u = 30 HA: u does not equal 30 Conduct a test using a significance level of 0.01. (a) What is the Test Statistic? ____
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.
The time needed for college students to complete a certain paper-and-pencil maze follows a
H0: u = 30 HA: u does not equal 30
Conduct a test using a significance level of 0.01.
(a) What is the Test Statistic? ____
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