Juan makes a measurement in a chemistry laboratory and records the result in his lab report. The standard deviation of students'
lab measurements is σ σ = 10 milligrams. Juan repeats the measurement 4 times and records the mean x x of his 4 measurements.
1 answer:
Answer:
The question is incomplete, but here is the complete part of the question; What is the standard deviation (±0.01) of Juan's mean result? (That is, if Juan kept on making 4 measurements and averaging them, what would be the standard deviation of all his x⎯⎯ 's?) How many times must Juan repeat the measurement so that the standard deviation of x⎯⎯ is 3? (Round your answer to the nearest whole number.)
Standard deviation of his measurement = 5
minimum number of measurement = 12
Step-by-step explanation:
The concept of standard error of mean is applied here which is the approximate standard deviation of a sample distribution or in a normal distribution. Mathematically, Standard error is given as SE = s/√n, where n is the sample size.
The equation implies that the sample error increases as the sample size decreases and vice versa.
The step y step calculation is shown below
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