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To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen then measured, yielding a sample average penetration of x = 52.4 and a sample standard deviation of s=4.2. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a = 0.05.) State the appropriate null and alternative hypotheses. Ho: = 50 H₂: >50 Ho: > 50 H₂: μ = 50 Ho: = 50 H: 50 ⒸHO: #50 H: > 50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) 2 = P-value =

To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen then measured, yielding a sample average penetration of x = 52.4 and a sample standard deviation of s=4.2. The conduits were manufactured with the specification that true average penetration be at most 50 mils. They will be used unless it can be demonstrated conclusively that the specification has not been met. What would you conclude? (Use a = 0.05.) State the appropriate null and alternative hypotheses. Ho: = 50 H₂: >50 Ho: > 50 H₂: μ = 50 Ho: = 50 H: 50 ⒸHO: #50 H: > 50 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) 2 = P-value =

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average of 52 and a sample standard deviation of 21. The conduit use manual states that a penetration of 50 mils or less would indicate that specification has been met. What would you conclude? (Use α = 0.05.) State appropriate null and alternative hypotheses: - \(H_0: \mu = 50\) - \(H_a: \mu > 50\) - \(H_0: \mu = 50\) - \(H_a: \mu < 50\) - \(H_0: \mu \geq 50\) - \(H_a: \mu < 50\) - \(H_0: \mu \leq 50\) - \(H_a: \mu > 50\) Calculate the test statistic and determine the P-value (Round your test statistic to two decimal places and your P-value to four decimal places). P-Value = ________
Transcribed Image Text:To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil for a 2-year period. The maximum penetration (in mils) for each specimen is then measured, yielding a sample average of 52 and a sample standard deviation of 21. The conduit use manual states that a penetration of 50 mils or less would indicate that specification has been met. What would you conclude? (Use α = 0.05.) State appropriate null and alternative hypotheses: - \(H_0: \mu = 50\) - \(H_a: \mu > 50\) - \(H_0: \mu = 50\) - \(H_a: \mu < 50\) - \(H_0: \mu \geq 50\) - \(H_a: \mu < 50\) - \(H_0: \mu \leq 50\) - \(H_a: \mu > 50\) Calculate the test statistic and determine the P-value (Round your test statistic to two decimal places and your P-value to four decimal places). P-Value = ________
Expert Solution
Step 1: Determine the given data

From the provided information

Sample size (n) = 45

Sample mean = 52.4

Sample standard deviation =4.2

Level of significance = 0.05

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