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Suppose a new standardized test is given to 92 randomly selected third-grade students in New Jersey. The sample average score 7 on the test is

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Suppose a new standardized test is given to 92 randomly selected third-grade students in New Jersey. The sample average score 7 on the test is 60 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% condence interval for the mean score of all New Jersey third graders is ( 57.96 , 62.04 ). (Round your responses to two decimal places.) Suppose the same test is given to 184 randomly selected third graders from Iowa, producing a sample average of 64 points and sample standard deviation of 13 points. The 90% confidence interval for the difference in mean scores between Iowa and New Jersey is ( - 6.32', - 1.68'). (Round your responses to two decimal places.) The pvalue of the test of no difference in means versus some difference is 0.0048'. (Round your response to four decimal places.) Can you conclude with a high degree of condence that the population means for Iowa and New Jersey students are different? Because of the extremely high pvalue, we can reject the null hypothesis with a very high degree of condence. Hence, the population means for Iowa and New Jersey students are different. V Because of the extremely low pvalue, we can reject the null hypothesis with a very high degree of condence. Hence, the population means for Iowa and New Jersey students are different. Because of the extremely high pvalue, 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. Because of the extremely low pvalue, we cannot reject the null hypothesis with a very high degree of condence. Hence, the population means for Iowa and New Jersey students are not different

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