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Question: A manufacturer claims that the average life time of an electronic component is at least 40 hours. A sample of 50 components average life time was calculated, and the decision was to reject the null hypothesis from the test statistic. Which of the following statements states the conclusion?


A ) the manufacturers claim is wrong, the average life time of the electronic component is greater than 40 hours
B ) the manufacturers claim is right, the average life time of the electronic component is at least 40 hours
C ) the manufacturers claim is right, the average life time of the electronic component is less than 40 hours
D ) the manufacturers claim is wrong, the average life time of the electronic component is less than 40 hours

Steps to derive

1 H0: μ ≥ 40 and H1: μ < 40
 [State the null and alternative hypotheses.]

2 The decision from the test statistic was rejected the null hypothesis.

3 So, the manufacturer's claim is wrong, the average life time of the electronic component is less than 40 hours.



Hence the right answer is Option D

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