An outdoor company that manufactures headlamps tests the lifetime of an SRS of 30 headlamps in a simulation of real-world use. After testing, the company states: "Our headlamps last an average of 600 to 730 minutes, and we are 90% confident in this interval." Which of the following is a correct interpretation of the confidence level? A) If we take many SRSs of headlamps, all of the intervals constructed will contain the true average lifetime of all headlamps produced. B) If we take many SRSs of headlamps, 90% of the intervals constructed will contain the true average lifetime of all headlamps produced. C) 90% of all headlamps have lifetimes in the interval (600, 730). D) There is a 90% chance that a randomly selected headlamp will have a lifetime in the interval (600, 730)
An outdoor company that manufactures headlamps tests the lifetime of an SRS of 30 headlamps in a simulation of real-world use. After testing, the company states: "Our headlamps last an average of 600 to 730 minutes, and we are 90% confident in this interval." Which of the following is a correct interpretation of the confidence level?
A) If we take many SRSs of headlamps, all of the intervals constructed will contain the true average lifetime of all headlamps produced.
B) If we take many SRSs of headlamps, 90% of the intervals constructed will contain the true average lifetime of all headlamps produced.
C) 90% of all headlamps have lifetimes in the interval (600, 730).
D) There is a 90% chance that a randomly selected headlamp will have a lifetime in the interval (600, 730).
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