Example 4: Statistical Significance A sample of 50 cans of tomatoes are tested for levels of the chemical BPA to see if there is
evidence that the mean level is greater than 100 ppb (parts per billion). Write down the hypotheses for this test: Give a possible sample mean that you think would be statistically significant: Give a possible sample mean that would definitely not be statistically significant:
sample mean of 150 will be statistically significant
3
sample mean of 40 will be statistically insignificant
Step-by-step explanation:
1
the null hypothesis:
H0: μ = 100
the alternate hypothesis:
H1: μ > 100
2.
a sample mean that is likely to be statistically significant is one whose value is quite bigger than 100.
a sample mean of 150 will provide strong evidence and is therefore statistically significant
3.
a sample mean that would not be statistically significant is one whose value is less than 100. a sample mean of 40 will not be statistically significant.
