In a cheese factory, 4.5-kg blocks of cheese are cut manually. For a large number of blocks, the standard deviation of the cutting process is measured and found to be 0.10 kg. The measurement was done with a scale with an accuracy of 1.5% of the full scale of 12 kg. Calculate the total uncertainty of the weight of the blocks of cheese at a 95 % confidence level.

0.2690 kg

Step-by-step explanation:

Given that:

For cutting a 4.5 kg block of cheese; the standard deviation:

For a large no of blocks,  at 95% confidence level;

Using the t table; where the degree of freedom is infinity or > 30

t-distribution (t) = 2

∴

The system uncertainty as a result of the accuracy is:

The total uncertainty  for a single experiment with a 95% confidence interval will be:

step-by-step explanation:

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