5 Brand Y kits yielded a variance of 2.30, test the claim that the two testing kits have different variances. a.What is the degrees of freedom for the numerator? b.What is the degrees of freedom for the denominator? c.What is the test statistic? Use 2 decimal places.
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.
One of the quality measures in testing is the consistency of the results. The consistency is measured by computing the variance of the results in repeated testing. Two types of blood glucose meter testing kits were tested. Blood from the one vial was used for the testing. Suppose 16 Brand X kits yielded a variance of 2.19 while 25 Brand Y kits yielded a variance of 2.30, test the claim that the two testing kits have different variances.
a.What is the degrees of freedom for the numerator?
b.What is the degrees of freedom for the denominator?
c.What is the test statistic? Use 2 decimal places.
Step by step
Solved in 3 steps with 1 images
