Perform a complete hypothesis test to see if there is a difference in bacterial colonies between the soap and control dishes. Again - notice that you are given no advice. You need to figure this out on your own,
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.
5) You want to determine the effect of soap on bacterial colonies. In order to make sure that the environment does not affect your experiment, you divide 13 different petri dishes in half - one side is exposed to soap, the other is a control.
You measure the number of colonies that grow in each petri dish and come up with the following results:
petri dish soap control
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Perform a complete hypothesis test to see if there is a difference in bacterial colonies between the soap and control dishes.
Again - notice that you are given no advice. You need to figure this out on your own, although this one should be a bit easier than (4). Feel free to use R to solve this problem, just make sure you don't just hand in a printout.
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