Question

A soft drink company has recently received customer complaints about its one-liter-sized soft drink products. Customers have been claiming that the one-liter-sized products contain less than one liter of soft drink. The company has decided to investigate the problem

Answer 1

From the question, we have the following parameters

μ = 1.015, σ = 0.13, n = 50, x-bar = 0.995

We will apply the above in the z-test formula below

$z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt[]{n}}}$

Therefore, we will then have;

$\begin{gathered} z=\frac{0.995-1.015}{\frac{0.13}{\sqrt[]{50}}} \\ z=\frac{-0.02}{\frac{0.13}{\sqrt[]{50}}} \\ z=-0.02\times\frac{\sqrt[]{50}}{0.13} \\ z=-1.0879 \end{gathered}$

Hence, we will find the probability of the above z score to get our answer. Using a z calculator, we will then have;

$P\mleft(x\le0.995\mright)=P\mleft(z<-1.0879\mright)=0.1383$

Answer: 0.1383