Answer:
: μ=420 gram
: μ≠420 gram
we fail to reject the null hypothesis at 0.01 significance
Explanation:
Let μ be the mean value for the bag filling machine. Then
: μ=420 gram
: μ≠420 gram
z-score of the sample mean can be calculated as:
z=
where
- X is the sample mean (417)
- M is the mean assumed in null hypothesis (420)
- s is the standard deviation (
= 24) - N is the sample size (33)
then z=
=-0.718
since p(z)= 0.858 > 0.01 we fail to reject the null hypothesis.