Replicate Diet with Martin Grass Seeds Control Diet 8.3 11.6 4.8 4.4 13.2 2.8 5.1 12 14.7 3.8 4.4 10.3 10 7.8 11 10 5.2 12 11 11 13 12 14 13 3.4 15 14 2.1 16 15 2.2 3.3 17 16 8.8 10.8 18 17 12.5 19 18 5.2 4.8 20 19 6.8 21 20 6.2 4.8 22 21 7.7 23 22 13.2 24 23 3.8 25 24 7.2 2.4 26 25 7.7 6.9 27 26 4.4 7.8 29 27 10.2 7.8 29 28 11 2.3 20 29 8.7 2.4 31 30 14 1.8
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.
Attached is the data set:
Hint: to perform the analysis, the easiest way is to copy and paste the data into MS Excel and use the Data Analysis ToolPak to perform the requested calculations. Assume the treatment groups have equal variance.
Answer to 3 decimals unless otherwise specified.
All of these numbers are generated in the Data Analysis ToolPak:
= mean weight of treatment group
= mean weight of control group
= variance of treatment group
= variance of control group
= pooled variance
= degrees of freedom (whole number)
= calculated t statistic reported by the data analysis tool pack (NOTE: t statistic should always be a positive number)
= P value reported by the data analysis tool pack (answer to 3 significant figures)
= critical reported by the data analysis tool pack.
Based on this, would you reject or fail to reject the null hypothesis?
As a result of this experiment, researchers would or would not expect mice in fields with Martin Grass to weigh more than mice in fields without Martin Grass.
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