Question

To test the exhaust fumes of a car, an inspector took six samples. The exhaust samples contained the following amounts of gas in parts per million (ppm); 8,5,7,6,9, and 5. If the maximum allowable mean is 6 ppm, did the car pass the test? explain.

Answer 1

Given: To test a car's exhaust fumes, an inspector took six samples. The exhaust samples contained the following amounts of gas in parts per million (ppm); 8,5,7,6,9 and 5. The maximum allowable mean is 6 ppm.

Required: To identify whether the vehicle passed the test.

Explanation: The mean of the data is given by the formula,

`\text{ Mean=}\frac{\text{ Sum of all observations}}{\text{ Total number of observations}}`
`\text{ Mean=}\frac{\text{8+5+7+6+9+5}}{6}`
`\begin{gathered} \text{ Mean=}(40)/(6) \\ \text{ Mean=6.67 ppm} \end{gathered}`

Since the maximum allowable mean was 6 ppm and the mean of the sample is 6.67, which is greater than the allowed mean. Therefore the car failed the test.

Final Answer: The car did not pass the test.