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In the​ past, the mean lifetime for a certain type of flashlight battery has been 9.5...

In the​ past, the mean lifetime for a certain type of flashlight battery has been 9.5 hours.9.5 hours.The manufacturer has introduced a change in the production method and wants to perform a significance test to determine whether the mean lifetime has increased as a result. The hypotheses are H0​:μ=9.5 hours and Ha​:μ>9.5 hours. Suppose that the results of the sample lead to rejection of the null hypothesis. Classify that conclusion as a Type I​ error, a Type II​ error, or a correct​ decision, if in fact the mean running time has not increased.

a. type 1error

b. type 2 error

c. no error

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Answer #1

Type I error

Type I error occurs if one incorretly rejects the null hypothesis.
Here the conclusion is made that mean time is greater than 9.5 hours in fact it is not.

Hence type I error occurred

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