A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is greater than the mean of WaxCo.
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.
Let denotes the population mean of WaxWin, and denotes the population mean of WaxCo.
The claim of the test is that the mean of WaxWin is greater than the mean of WaxCo. The hypothesis is,
Null hypothesis:
Alternative hypothesis:
Correct Answer: Option 1.
The sample size of WaxWin is 40 with mean 26.3 and population standard deviation is 7.1, the sample size of WaxCo is 43 with mean 28, and population standard deviation is 6.1.
Step by step
Solved in 2 steps
