Suppose a new standardized test is given to 99 randomly selected third-grade students in New Jersey The sample average score Y on the test is 61 points, and the sample standard deviation, Sy, is 10 points. The authors plan to administer the test to all third-grade students in New Jersey 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 198 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 lowa 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? O A. 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 lowa and New Jersey students are not different O 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 lowa and New Jersey students are not different O 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 lowa and New Jersey students are different. O D. 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 lowa and New Jersey students are different