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Your organization purchases bottles of a popular commercial solvent for resale. Each bottle is labeled as containing 32 fluid ounces of the solvent. Your contract specifies that each bottle must contain 32 ± .125 ounces of the specified solvent. Recently, you have noticed that some bottles appear to be out of specification. Obviously, the most significant problem is bottles do not contain at least 31.875 ounces of solvent. The results of a study of the bottle-filling process indicate an average of 31.995 ounces of solvent in each bottle with a standard deviation of approximately .075 ounces. Based on this information, what proportion of filled bottles are out of specification?
Analytical Approach We will illustrate this through an example. Example 1 A firm sells a product in a market with a few competitors. The average price charged by the
TYPE I AND II Errors If a statistical hypothesis is tested, we may get the following four possible cases: The null hypothesis is true and it is accepted; The
Suppose the money supply process is now represented by the following function: where m measures the sensitivity of money supply with respect to the interest rate. (i) Us
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Scatter Diagram The first step in correlation analysis is to visualize the relationship. For each unit of observation in correlation analysis there is a pair of numerical value
The Elementary Teachers' Federation of Ontario make the following claim on their website as of February 13, 2013: For years, the Elementary Teachers' Federation of Ontario (ETFO
Variance The term variance was used to describe the square of the standard deviation by R.A.Fisher. The concept of variance is highly important in areas where it is possible to
Multi stage or Cluster Random sampling Under this method, the random selection is made of primary, intermediate and final units from a given population. The area of investigat
Cluster Sampling Here the population is divided into clusters or groups and then Random Sampling is done for each cluster. Cluster Sampling differs from Stratified Sampl
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