Chapter 1.10, Problem 7PE

Interpretation Introduction

Interpretation: The data for the concentration of sodium ions in the sea water is given. The mean and standard deviation of the concentration of sodium ions in deep sea water is to be calculated. Also, the $95\%$ confidence interval of the result is to be checked.

Concept introduction: The standard deviation is calculated as,

$\text{Standard}\text{deviation}=\sqrt{\frac{{\displaystyle \sum {\left(x-\overline{x}\right)}^2}}{\text{Number}\text{of}\text{samples}}}$

The $90\%$ confidence interval is calculated by the formula,

$\text{Mean}\pm 1.645\times \frac{\text{Standard}\text{deviation}}{\sqrt{\text{Number}\text{of}\text{samples}}}$

To determine: The mean and standard deviation of the concentration of sodium ions in deep sea water and the $95\%$ confidence interval of the results.