Task: Look at the 60 bottles of coconut juice as consisting of 10 columns 1. and 6 rows. 2. Compute the means of the column samples. 3. What is the overall mean? This value is also an estimate of the population mean u. Sample Sample Sample Sample Sample Sample Sample Sample Sample Sample 1 3 4 7 8. 10 500 498 497 503 499 497 497 497 497 495 500 500 495 494 498 500 500 500 500 497 497 497 502 496 497 497 497 497 497 495 501 495 500 497 497 500 500 495 497 497 502 497 497 499 496 497 497 499 500 500 496 497 496 495 497 497 500 500 496 497 The mean for Sample 1 is X = 500 +500 +497 +501+502 + 496 2996 = 499.33 %3D 6. 6.
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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More on Coconut Juice
Task:
1.
Look at the 60 bottles of coconut juice as consisting of 10 columns
497+495
and 6 rows.
2.
Compute the means of the column samples.
3.
What is the overall mean? This value is also an estimate of the
population mean u.
Sample Sample Sample Sample Sample Sample Sample Sample Sample Sample
1
3
4
7
8
9.
10
500
498
497
503
499
497
497
497
497
495
500
500
495
494
498
500
500
500
500
497
497
497
502
496
497
497
497
497
497
495
501
495
500
497
497
500
500
495
497
497
502
497
497
499
496
497
497
499
500
500
496
497
496
495
497
497
500
500
496
497
ng row
The mean for Sample 1 is
2996
X = 500 +500 +497 +501 + 502 + 496
= 499.33
6.
6.
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