EXAMPLE 6.19 Bottle Fill Amount: The Conclusion

CASE 6.1 In Example 6.18, we found that the -value is

325

If the underlying process mean is truly 473 ml, there is only a 6 in a 10,000 chance of observing a sample mean deviating as extreme as 1.54 ml (in either direction) away from this hypothesized mean. Because this -value is smaller than the significance level, we conclude that our test result is signifcant. We could report the result as “the data clearly show evidence that the underlying process mean filling amount is not at the desired value of 473 ml (, ).”