Question

9. The widths of platinum samples manufactured at a factory are normally distributed, with a mean of 1.2 cm and a standard deviation of 0.2 cm. Find the z-scores that correspond to each of the following widths. Round your answers to the nearest hundredth, if necessary.(a) 1.8 cmz = (b) 0.4 cmz =

Answer 1

We will simply employ the z-score formulae to getting our solution. It goes thus:

Therefore, the z-scores are:

`\begin{gathered} z=(1.8-1.2)/(0.2)=(0.6)/(0.2)=3 \\ \\ z=(0.4-1.2)/(0.2)=-(0.8)/(0.2)=-4 \end{gathered}`

The z-scores are:

a) 3

b) -4