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NEW QUESTION # 246
A candy company produces a particular product in which the pieces come in 4 colors and are bagged according to the distribution of red = 10%, green = 20%, yellow = 30%, and brown = 40%. Inspectors take a sample of bags from the end of the packing line and count the colors to confirm distribution. What statistical test should the inspectors use?
Answer: D
Explanation:
The correct answer is A. Chi square . The CSSBB supplemental material states that one important use of the chi-square test is the goodness-of-fit test of observed data to hypothetical distributions . That is exactly the situation here. The company already has an expected categorical distribution of colors: 10%, 20%, 30%, and 40%. The inspectors then collect observed counts from sampled bags and need to test whether those observed counts fit the expected distribution.
This is a classic chi-square goodness-of-fit problem because the data are categorical counts , not continuous measurements. A Pareto chart is only a display tool and does not test statistical fit. Two-way ANOVA is for comparing means across factors, and regression analysis is for modeling relationships among quantitative variables. Since the purpose is to compare observed frequencies of colors against expected percentages, the correct statistical method is the chi-square test . Therefore, the verified CSSBB answer is A .
NEW QUESTION # 247
A company has two facilities that ship the same product. The following table shows the number of defectives and the total volume for the facilities, per month.
There is one opportunity per unit. What is the PPM for Facility X for March?
Answer: B
Explanation:
PPM means parts per million and is calculated by dividing the number of defectives by the total number of units, then multiplying by 1,000,000. In the table, Facility X for March shows 124 defectives and a volume of
20,000 units. Since there is one opportunity per unit, the calculation is straightforward:
PPM = (124 / 20,000) × 1,000,000
PPM = 0.0062 × 1,000,000
PPM = 6,200
This is a standard Measure Phase calculation because it converts raw defect data into a normalized metric that allows comparison across different time periods, processes, or facilities. Black Belts use PPM and related defect measures to establish process baselines, compare operational performance, and monitor quality trends over time. Since the opportunity count is one per unit, no further adjustment for multiple opportunities is needed. The resulting PPM shows how many defective units would be expected per million units under the same defect rate. Therefore, the correct answer is C, 6,200, because that is the calculated PPM for Facility X in March.
NEW QUESTION # 248
A Personal Trainer was assessing her workout class participants for their body fat content and had to include data for her analysis. One of the columns listed the range of weight of the people included in the studies. This required plotting a Histogram of the weight of the people assessed for their body fat content.
While drawing the Histogram the x-axis contained a certain scale of data. Pick the scale of data that is appropriate for Histograms.
Answer: D
NEW QUESTION # 249
A team has been asked to reduce the cycle time for a process. The team decides to collect baseline data. It will do this by:
Answer: B
NEW QUESTION # 250
The mean, median and mode of a distribution have the same value. What can be said about the distribution:
Answer: A
NEW QUESTION # 251
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