Answer:
Conclusion: Fail to Reject Null Hypothesis
We conclude that the bags are not overfilled.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 441 gram
Sample mean, = 448 gram
Sample size, n = 19
Alpha, α = 0.01
Sample standard deviation, s = 27 grams
First, we design the null and the alternate hypothesis
We use One-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject null hypothesis when t > 2.55
We accept the null hypothesis and fail to reject it. Thus, we conclude that the bags are not overfilled.