A researcher performs a hypothesis test to test the claim that among girls aged 9-10, the mean score on a particular aptitude test differs from 72, which is the mean score for boys of the same age. Data were collected from a random sample of 43 girls aged 9-10 years and the 95% confidence interval for the girls' aptitude test score is (68.3, 71.8)

Does the confidence interval support the researcher's claim that the girls' mean score differs from the boys' mean score?
A) No, since the confidence interval does not include 72 we can say that we have insufficient evidence that the girls' mean score differs from the boys.
B) Yes, since the confidence interval does not include 72 we can say that we have evidence that the girls' mean score differs from the boys..
C) No, since the confidence interval does not include 72 we can say that we have sufficient evidence that the girls' mean score differs from the boys.
D) Yes, since the interval is so narrow we are certain that the girls score differently from the boys.
E) There is insufficient information to draw a conclusion.

So 72 is not in interval.

answer A.

To determine whether the confidence interval supports the researcher's claim that the girls' mean score differs from the boys' mean score, we need to consider the following:

The confidence interval is (68.3, 71.8), and it does not include the value of 72. This means that there is some evidence that the girls' mean score is lower than 72, but we cannot say with certainty whether it is significantly different or not.

As such, the correct answer is option A) No, since the confidence interval does not include 72, we can say that we have insufficient evidence that the girls' mean score differs from the boys.

It's worth noting that a confidence interval provides a range of values within which we have a certain level of confidence that the true population parameter lies. In this case, the 95% confidence interval suggests that we are 95% confident that the true mean score for girls aged 9-10 falls within the range (68.3, 71.8). However, since this range does not include 72, we cannot conclude that the girls' mean score differs from the boys' mean score based solely on this information.