Question

In: Statistics and Probability

Four students were asked to weigh out 5.000 g of salt. The values they got are...

Four students were asked to weigh out 5.000 g of salt. The values they got are below

Weight (g)

Mary

Scott

Michael

Yen

4.9986

5.0021

5.0001

5.1021

5.0020

5.0020

4.9998

4.9987

5.007

5.0021

4.9999

5.0003

4.9995

5.0022

4.9998

4.9977

Mean:

5.001775

Mean:

5.0021

Mean:

4.9999

Mean

5.0247

:

SD:

SD:

SD:

SD:

Determine the mean and standard deviation for each of the sets of data. Put them in the table above. Using these numbers you should come to the following conclusions:

standard Deviation only needed ti be found

Solutions

Expert Solution

The completed table is attached below:

Explanations:

Let x1, x2, ..., xn be a random sample of size n. The sample standard deviation of ths sample can be calculated using the formula

, ------ equation (1)

where is the sample mean.

The sample standard deviations are calculated using the formula in equation(1). The calculations are tabulated for better understanding. Please find the calculations in the screenshots attached.

orchestra answered 2 years ago
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