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Solved: A leakage test was conducted to determine the effectiveness of a seal designed
Chapter 7, Problem 7.1-10(choose chapter or problem)
A leakage test was conducted to determine the effectiveness of a seal designed to keep the inside of a plug airtight. An air needle was inserted into the plug, and the plug and needle were placed under water. The pressure was then increased until leakage was observed. Let X equal the pressure in pounds per square inch. Assume that the distribution of X is N(, 2). The following n = 10 observations of X were obtained: 3.1 3.3 4.5 2.8 3.5 3.5 3.7 4.2 3.9 3.3 Use the observations to (a) Find a point estimate of . (b) Find a point estimate of . (c) Find a 95% one-sided confidence interval for that provides an upper bound for .
Questions & Answers
QUESTION:
A leakage test was conducted to determine the effectiveness of a seal designed to keep the inside of a plug airtight. An air needle was inserted into the plug, and the plug and needle were placed under water. The pressure was then increased until leakage was observed. Let X equal the pressure in pounds per square inch. Assume that the distribution of X is N(, 2). The following n = 10 observations of X were obtained: 3.1 3.3 4.5 2.8 3.5 3.5 3.7 4.2 3.9 3.3 Use the observations to (a) Find a point estimate of . (b) Find a point estimate of . (c) Find a 95% one-sided confidence interval for that provides an upper bound for .
ANSWER:Step 1 of 4
A leakage test is conducted with X denoting a random variable representing the pressure in pounds per square inch. It is provided that it follows 