Question 1174739
it sure sounds like it.


let's see what the statistical analysis says.


sample size is 25
average is 3 children per family.
standard deviation is 1 child.


since the standard deviation is from the sample rather than the population, then the t-score analysis is considered.


the standard error is equal to the sample standard deviation divided by the square root of the sample size.


that makes the standard error equal to 1/sqrt(25) = 1/5 = .2.


the t-score is equal to (x - m) / s


x is the raw score from the sample
m is the assumed mean from the population.
s is the standard error.


the standard error is the standard deviation of the distribution of sample means.


the t-score is equal to (3 - 6) / .2 = -3/.2 = -15.


at two-tailed 99% confidence interval, the critical t-score with 24 degrees of freedom (sample size minus 1 = degrees of freedom) would be plus or minus 2.797.


a t-score of -15 with 24 degrees of freedom is well beyond the left side critical t-score of-2.797 with 24 degrees of freedom.


it appears that there is overwhelming evidence that the average number of children in a filipino family has gone lower.


it's pretty safe to say that it has.


here's the critical t-score table that i used.


<a href = "https://www.sjsu.edu/faculty/gerstman/StatPrimer/t-table.pdf" target = "_blank">https://www.sjsu.edu/faculty/gerstman/StatPrimer/t-table.pdf</a>