A Manufacturing Company Produces Part A732 for the Aerospace Industry

question 82

Multiple Choice

A manufacturing company produces part A732 for the aerospace industry.This particular part can be manufactured using 3 different production processes.The management wants to know if the quality of the units of part A732 is the same for all three processes.The production supervisor obtained the following data: Process 1 had 29 defective units in 240 items,Process 2 produced 12 defective units in 180 items,and Process 3 manufactured 9 defective units in 150 items.
Chi-Square Contingency Table Test for Independence $\begin{array}{c}\begin{array}{lll}\text { } \\\text { Row 1 } \\ \text { } \\\text { } \\\text { Row 2} \\\text { } \\\text { } \\\text { Total } \\\text { } \\\text { } \\\end{array}\begin{array}{l}\text { } \\\hline \text { Observed } \\\hline \text { Expected } \\\hline(\mathrm{O}-\mathrm{E}) ^{2} / \mathrm{E} \\\hline \text { Observed } \\\hline \text { Expected } \\\hline(\mathrm{O}-\mathrm{E}) ^{2} / \mathrm{E} \\\hline \text { Observed } \\\hline \text { Expected } \\\hline(\mathrm{O}-\mathrm{E}) ^{2} / \mathrm{E}\end{array}\begin{array}{|l|}\text { Col } 1\\\hline 29 \\\hline 21.05 \\\hline 3.00 \\\hline 211 \\\hline 218.95 \\\hline 0.29 \\\hline 240 \\\hline 240.00 \\\hline 3.29 \\\end{array}\begin{array}{l}\text { Col } 2\\\hline 12 \\\hline 15.79 \\\hline 0.91 \\\hline 168 \\\hline 164.21 \\\hline 0.09 \\\hline 180 \\\hline 180.00 \\\hline 1.00 \\ \end{array}\begin{array}{|l|}\operatorname{Col} 3\\\hline 9 \\\hline 13.16 \\\hline 1.31 \\\hline 141 \\\hline 136.84 \\\hline 0.13 \\\hline 150 \\\hline 150.00 \\\hline 1.44 \\ \end{array}\begin{array}{r}\text { Total } \\\hline 50 \\\hline 50.00 \\\hline 5.22 \\\hline 520 \\\hline 520.00 \\\hline 0.50 \\\hline 570 \\\hline 570.00 \\\hline 5.73 \end{array}\end{array}$

$\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\begin{array}{cc}5.73 & \text { chi-square } \\.0571 & \text { p-value }\end{array}$

At a significance level of .05,the management wants to perform a hypothesis test to determine if the quality of the items produced appears to be independent of the production process used.Based on the results summarized in the MegaStat/Excel output provided in the table above,we:

• A)Reject H₀ and conclude that the quality of the product is not the same for all processes.
• B)Reject H₀ and conclude that the quality of the product is dependent on the manufacturing process.
• C)Do not reject H₀,and conclude that the quality of the product does not significantly differ among the three processes.
• D)Do not reject H₀,and conclude that the quality of the product is not the same for all processes.
• E)Reject H₀ and conclude that the quality of the product is independent of the manufacturing process used.

Understand the concept and calculation of median.

Interpret the significance of sum and mean in data sets.

Distinguish between sample size and population size.

Identify and calculate the mean value in a set of scores.

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Definitions:

Big Historical Projects

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Manhattan Project

The code name for the U.S.-led research during World War II that developed the first nuclear weapons.

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The set of ideas, perspectives, attitudes, images, and other phenomena that are within the mainstream of a given culture, especially western culture in the late 20th and early 21st centuries.

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pertains to behaviors or practices that are prohibited or restricted by social or cultural norms, often due to superstition or religious beliefs.