TABLE 17-9 The Manufacturer of Canned Food Constructed Control Charts and Analyzed

question 83

Short Answer

TABLE 17-9
The manufacturer of canned food constructed control charts and analyzed several quality characteristics. One characteristic of interest is the weight of the filled cans. The lower specification limit for weight is 2.95 pounds. The table below provides the range and mean of the weights of five cans tested every fifteen minutes during a day's production.

-Referring to Table 17-9, an R chart is to be constructed for the weight. One way to create the lower control limit involves multiplying the mean of the sample ranges by D₃. For this data set, the value of D₃ is ________.

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Definitions:

α

Typically used to denote the level of significance in hypothesis testing, representing the probability of rejecting a true null hypothesis or the threshold of rareness.

β

Often used to represent the slope coefficient in linear regression analysis, indicating the change in the dependent variable for a one-unit change in an independent variable.

Probability

The measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Critical Value

A threshold in hypothesis testing, which the test statistic must exceed in order to reject the null hypothesis, indicating a statistically significant result.