The outside diameter of a manufactured part must be 1.3825

Chapter 6, Problem 4CT

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QUESTION:

The outside diameter of a manufactured part must be 1.3825 inches, according to customer specifications. The data shown represent a random sample of 10 parts. Use a 95% confidence interval to judge whether the part has been manufactured to specifications.

Note: A normal probability plot and boxplot indicate that the data come from a population that is normally distributed with no outliers.

\(\begin{array}{lcccc}
1.3821 & 1.3830 & 1.3823 & 1.3829 & 1.3830 \\
\hline 1.3829 & 1.3826 & 1.3825 & 1.3823 & 1.3824 \\
\hline \text { Source: Dennis Johnson, student at Joliet Junior College }
\end{array}\)

Questions & Answers

QUESTION:

The outside diameter of a manufactured part must be 1.3825 inches, according to customer specifications. The data shown represent a random sample of 10 parts. Use a 95% confidence interval to judge whether the part has been manufactured to specifications.

Note: A normal probability plot and boxplot indicate that the data come from a population that is normally distributed with no outliers.

\(\begin{array}{lcccc}
1.3821 & 1.3830 & 1.3823 & 1.3829 & 1.3830 \\
\hline 1.3829 & 1.3826 & 1.3825 & 1.3823 & 1.3824 \\
\hline \text { Source: Dennis Johnson, student at Joliet Junior College }
\end{array}\)

ANSWER:

Step 1 of 3

Given, The outside diameter of a manufactured part must be 1.3825 inches, according to customer specifications. The data shown represent a random sample of 10 parts

\(\begin{array}{|l|l|}
\hline 1.3821 & 1.3826 \\
\hline 1.383 & 1.3825 \\
\hline 1.3823 & 1.3823 \\
\hline 1.3829 & 1.383 \\
\hline 1.3829 & 1.3824 \\
\hline
\end{array}\)

Mean = 1.3826 and std dev = 0.00033

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