Let the weight of the chocolate chips bag be denoted by a random variable X.
Let the population mean be the average weight of the chocolate chip bag.
We test the following Hypothesis,
Null hypothesis, H0: The bag filling machine works correctly. i.e. v/s
Alternate hypothesis, H1: The bag filling machine is under filling the bags. i.e.
We perform the 1 sample t test.
The test statistic T is given by,
where n = sample size = 26
sample mean =
sample standard deviation = s = 25
Therefore,
=-1.02
The critical value for is given by
Since
We fail to reject the null hypothesis at level of significance.
That is, the machine is not underfilling the bags.
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