Following are the protein contents measured in two types of species: Species 1: 0.72 1.12 0.81 0.89 0.72 0.81 1.01 0.75 0.83 Species 2: 1.21 0.93 0.80 1.12 1.22 0.94 0.87 i) Assuming normality, test the hypothesis that the two species have the same average protein contents by using 5-step hypothesis testing procedure at 5 % level of significance, and using the critical values approach. ii) Calculate the p-value of this test and make decision. iii) Write down the standard error of this test and calculate its numerical value ?
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.
Following are the protein contents measured in two types of species:
Species 1: 0.72 1.12 0.81 0.89 0.72 0.81 1.01 0.75 0.83
Species 2: 1.21 0.93 0.80 1.12 1.22 0.94 0.87
i) Assuming normality, test the hypothesis that the two species have the same
average protein contents by using 5-step hypothesis testing procedure at 5 %
level of significance, and using the critical values approach.
ii) Calculate the p-value of this test and make decision.
iii) Write down the standard error of this test and calculate its numerical value ?
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