The data in the table below presents the hourly quantity of production for three lines of production processes over the first 4 days in XYZ Company. Answer the questions based on the Excel Output given below. Day Process 1 Process 2 Process 3 1 33 33 28 2 30 35 36 3 28 30 30 4 29 38 34 ANOVA: Single Factor SUMMARY Groups Process 1 Process 2 Process 3 ANOVA Source of Variation Between Groups Within Groups Total Count 4 4 4 SS 32 88 120 Sum 120 136 128 Average 30 34 32 Variance 4.66667 11.3333 13.3333 df ? ? 11 MS ? ? F ? P value . State the decision rule (α = 0.05).
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.
The data in the table below presents the hourly quantity of production for three lines of production processes over the first 4 days in XYZ Company. Answer the questions based on the Excel Output given below.
Day Process 1 Process 2 Process 3
1 33 33 28 2 30 35 36 3 28 30 30 4 29 38 34
ANOVA: Single Factor SUMMARY
Groups
Process 1
Process 2
Process 3 ANOVA
Source of Variation
Between Groups Within Groups
Total
Count
4 4 4
SS
32 88
120
Sum
120 136 128
Average
30 34 32
Variance
4.66667 11.3333 13.3333
df
? ?
11
MS
? ?
F
?
P value
. State the decision rule (α = 0.05).
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