An automobile parts company produces a certain part that must have a 2-inch diam

Question

An automobile parts company produces a certain part that must have a 2-inch diameter to ensure proper fit. The automobile manufacturer purchasing and using these parts is concerned that these parts do not meet diameter specifications, on average. The parts company needs to investigate this and halt production to identify and correct the problem if one is found. The appropriate hypothesis test is conducted to assess whether or not part diameters are 2 inches, on average

. a. Multiple choice - Which of the following statements best describes the consequences of a type I error in this context? A. Production is halted even though there is no problem. B. Production continues even though there is a problem. C. Production continues since there is no problem. D. Production is halted since there is a problem.

b. Multiple choice - Which of the following statements best describes the consequences of a type II error in this context? A. Production is halted even though there is no problem. B. Production continues even though there is a problem. C. Production continues since there is no problem. D. Production is halted since there is a problem.

Explanation / Answer

Type I and type II errors. ... In statistical hypothesis testing, a type I error is the incorrect rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is incorrectly retaining a false null hypothesis (also known as a "false negative" finding).

Here:

Null: Specifications are met

Alt: Specifications are not met

So,

a) In type 1 error case:

A. Production is halted even though there is no problem.

b) In type 2 error case:

B. Production continues even though there is a problem

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.