A consumer believes the veggie manufacturer is under-filling its frozen peas. Th

Question

A consumer believes the veggie manufacturer is under-filling its frozen peas. The true mean weight stated on the package is 500 g. By weighing a sample of 9 packages, he will reject the null hypothesis if the sample mean is less than 496.8 g. Assume the weights of packages follow a Normal distribution with a standard deviation of 6 g. A possible Type I error of this test would be to decide that there is:

a. insufficient evidence to conclude Veggies-R-Us is under-filling their packages when in fact they are under-filling their packages.
b. sufficient evidence to conclude Veggies-R-Us is under-filling their packages when in fact they are not under-filling their packages.

c. insufficient evidence to conclude Veggies-R-Us is under-filling their packages
d. sufficient evidence to conclude Veggies-R-Us is under-filling their packages when in fact they are under-filling their packages.
e. insufficient evidence to conclude Veggies-R-Us is under-filling their packages when in fact package weights equal indicated amounts

Explanation / Answer

A possible Type I error of this test would be to decide that there is:

a. insufficient evidence to conclude Veggies-R-Us is under-filling their packages when in fact they are under-filling their packages.

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