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Sagot :
From the statistical point of view , the type I error was made , the correct option is (c) .
In the question ,
it is given that ,
the machine was working well, but on the basis of our statistical hypothesis test, it was concluded that the machine was under-filling or over-filling and hence it was shut down .
but after examination by the engineers , there was nothing wrong with the filling machine .
that means that the null hypothesis was rejected when it was actually true .
which refers to the type I error .
Therefore , the correct option is (c) A Type I error was made.
The given question is incomplete , the complete question is
The result of a hypothesis test is used to prevent a machine from under-filling or overfilling quart size bottles of olive oil. on the basis of sample, the hypothesis is rejected and the machine is shut down for inspection. a thorough examination reveals to engineers there is nothing wrong with the filling machine. from a statistical point of view:
(a) correct decision was made.
(b) Both, a Type I and a Type II errors were made.
(c) A Type I error was made.
(d) A Type II error was made.
(e) None of these answers.
Learn more about Hypothesis Test here
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