and insert a frequency distribution and histogram of the box weights. Use 10 classes to build the frequency distribution. Based on (a.) the descriptive statistics, (b.) the histogram, and (c.) the empirical rule, does it appear that the box weights follow a normal distribution with a symmetric bell-shaped curve? Justify your response with your data analysis.
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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- Does the data contain any outliers? If yes, should those outliers be left in the data set for analysis or removed? Explain.
- Using Excel, create and insert a frequency distribution and histogram of the box weights. Use 10 classes to build the frequency distribution.
- Based on (a.) the
descriptive statistics , (b.) the histogram, and (c.) theempirical rule , does it appear that the box weights follow a normal distribution with a symmetric bell-shaped curve? Justify your response with your data analysis. - Assuming the package weights are
normally distributed , convert the MAV value to a z-score using the formula z = (LMAV – mean)/standard deviation. What is the probability that any individual package weight will fall below the LMAV of 599.5 grams? Does this pose a risk to the company? - Based on your analysis, should management have any concerns about the packaging process being out of compliance with the government standards? Explain
- Based on your analysis, should management have any concerns about the packaging process from a business perspective? Explain.
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