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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

A soft drink company has recently received customer complaints about its one-liter-example-1
User Mykola Korol
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1 Answer

14 votes
14 votes

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*\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

User Vaelus
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