Let the sample size n=25.
Critical t-value: t(0.005,24)=2.797.
Rejection region: t>2.797 or t<-2.797.
Test statistic: "t=\\frac{258-250}{\\frac{16}{\\sqrt{25}}}=2.5."
Since the t-value is less than the critical t-value, fail to reject the null hypothesis.
There is no sufficient evidence that the mean amount of fruit juice filled is different from 250ml.
The machine does not need adjustment.
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