10. In arder to stady the output of a machine that fills baxes with cereal, a quality control engineer weighed 150 boxes of Brand X cereal The frequen- cy distribetion in Figure 4.20 summarizes her find- ings. Construct a histogram to represent the data. I Weight (in ounces) Number of Bores 15.3 sx<15.6 13 15.6sx<15.9 24 15.9 SI<16.2 84 16.2 sx<16.5 19 16.5s 16S 10
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.
Given Data:
| x | Number of Boxes |
| 15.3-15.6 | 13 |
| 15.6-15.9 | 24 |
| 15.9-16.2 | 84 |
| 16.2-16.5 | 19 |
| 16.5-16.8 | 10 |
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