Question 2. the strength of a particular type of cloth. Because there might be variability from one bolt to another, the chemist decides to use a randomized block design, with the bolts of cloth considered as blocks. She selects five bolts and applies all four chemicals in random order to each bolt. The resulting tensile strengths follow. Analyze the data from this experiment (use a = 0.05) and draw appropriate conclusions. The data are as follows: replace x with the last two digit of your student id (For example if your id is 12345, then x is 45)Use a=0.05. An industrial engineer wishes to test the effect of four chemical agents on bolt Chemical 2 4 1 8. 4 5 14 6. 14 6. 9 3 6 Solve the following questions (No software plot or solution): Prepare ANOVA showing all calculation Is there any significant factor? Explain? Plot the residual plots vs predicted, comment on the figure Plot the residual plots vs order, comment on the figure b) c) d)
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.
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