Question

A student obtained the following results for the normality of a Nitric acid solution: 0.424; 0.528; 0.621; 0.433; 0.537. Should 0.621 as a result be rejected statistically?

Answer 1

Question #65162, Math / Statistics and Probability

A student obtained the following results for the normality of a Nitric acid solution: 0.424; 0.528; 0.621; 0.433; 0.537. Should 0.621 as a result be rejected statistically?

Answer.

Sample mean $\overline{x} = \frac{1}{5}\sum_{i=1}^{5}x_i = 0.5086$ ;

Sample standard deviation $s = \sqrt{\frac{1}{4}\sum_{i=1}^{5}(x_i - \overline{x})^2} = 0.0817$ .

$$\overline{x} + 2s = 0.6720 > 0.671.$$

Thus, 0.621 should not be rejected statistically.

References.

Standard deviation. (2004, May 23). Retrieved February 8, 2017, from http://www.batesville.k12.in.us/physics/apphynet/Measurement/standard_deviation.htm

Mean, mode, median, and standard deviation. Retrieved February 10, 2017, from https://www.ltconline.net/greenl/courses/201/descstat/mean.htm

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