Identify a decision as either a Type l error or Type Il error.
A spice box manufacturing company is having difficulty filling packets to the required 50 grams. Suppose a business researcher randomly selects 60 boxes, weighs each of them and computes its mean. By chance, the researcher selects packets that have been filled adequately and that is how he gets the mean weight of 50 g, which falls in the "fail to reject" region.
The decision is to fail to reject the null hypothesis even though population mean is NOT actually 50 g.
Which kind of error has the researcher done in this case?
a.) Neither b.) Both c.) Type II d.) Type
Homework Answers
type II (c)
[ explanation:-
type II error is defined as : probability of accepting null hypothesis when it is false.
type I error is defined as : probability of rejecting null hypothesis when it is true .
here, population is not actually 50 g and you have taken the decision of fail to reject the null hypothesis ,(which means that accepting the null hypothesis)...so, this is a type II error.]
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