A sugar box manufacturing company is accurately making $100 \mathrm{~g}$ packets. Suppose a business researcher randomly selects 100 boxes, weighs each of them and computes its mean. Due to non-random selection or by chance, a researcher selects packets that have not been adequately filled and that is how he gets the mean weight of $98 \mathrm{~g}$, which falls in the rejection region.
The decision is to reject the null hypothesis even though the population mean is actually $100 \mathrm{~g}$.
Which kind of error has the researcher done in this case?
a.) Neither
b.) Type I
c.) Type II
Answer
Final Answer: \(\boxed{\text{b.) Type I}}\)
Step 1 ：A sugar box manufacturing company is accurately making 100 g packets. A business researcher randomly selects 100 boxes, weighs each of them and computes its mean. Due to non-random selection or by chance, the researcher selects packets that have not been adequately filled and that is how he gets the mean weight of 98 g, which falls in the rejection region.
Step 2 ：The decision is to reject the null hypothesis even though the population mean is actually 100 g.
Step 3 ：The researcher has committed a Type I error, which is the incorrect rejection of a true null hypothesis.
Step 4 ：Final Answer: \(\boxed{\text{b.) Type I}}\)
