Answer:
We reject the null hypothesis, and accept the alternative hypothesis.
So, it means that the machine is under filling the bags
Explanation:
Given
Null Hypothesis
--- works correctly at 419g
Alternate Hypothesis
--- under fills the bag
--- the sample
--- the mean
--- the standard deviation
--- the significance level
Required
What is the decision rule
Since n is less than 30, we make use of t test
Calculate df
Calculate the p value from the Student's t-distribution at df = 14 and
Given that:
Since
So, it means that the machine is under filling the bags