The 95% confidence interval for the mean score of all New Jersey third graders is . (Round your responses to two decimal places.) Suppose the same test is given to 184 randomly selected third graders from lowa, producing a sample average of 65 points and sample standard deviation of 13 points.
The 90% confidence interval for the difference in mean scores between Iowa and New Jersey is . Round your responses to two decimal places.)
The p-value of the test of no difference in means versus some difference is. (Round your response to four decimal places.)
Can you conclude with a high degree of confidence that the population means for lowa and New Jersey students are different?
A. Because of the extremely high p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different.
B. Because of the extremely high p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different.
C. Because of the extremely low p​-value, we can reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are different.
D. Because of the extremely low p​-value, we cannot reject the null hypothesis with a very high degree of confidence.​ Hence, the population means for Iowa and New Jersey students are not different.