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Answer:
P= 0,1379
Step-by-step explanation:
- μ₀= 1,01 litres (the null hypothesis)
- σ= 0,13 litres (the standard deviation)
- n= 70 people (sample size)
- X= 0.993 litres (the average mean)
<u>Find the probability that P(X≤ 0,993)</u>
The question requires us to calculate the probability that the dispensing unit (when functioning properly) dispenses 0,993 litres of soft drink on average.
The values mentioned above are taken from the question and can be put into the formula:
Z=
After substituting in the values into the formula, the answer is:
Z= -1,0941
This Z value can indicate on the "Standard Normal Distribution Table" the probability needed to answer the question.
After looking up the value on the table, the answer given is P= 0,1379
Conclusion:
The probability of the dispensing unit dispensing 0.993 litres or less of soft drink on average, is equal to 0,1379.