Suppose a new standardized test is given to 108 randomly selected third-grade students in New Jersey. The sample average score Y on the test is 62 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 216 randomly selected third graders from lowa, producing a sample average of 66 points and sample standard deviation of 13 points. The 90% confidence interval for the difference in mean scores between lowa and New Jersey is (-6.22.). (Rounc your responses to two decimal places.) The p-value of the test of no difference in means versus some difference is 0.0024. (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? OA. 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. B. 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. OC. 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. OD. Because of the extremely low p-value, we cannot reject the null hypothesis with a very high degree of ation means for lowa and New Jersey students are not different.
Suppose a new standardized test is given to 108 randomly selected third-grade students in New Jersey. The sample average score Y on the test is 62 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 216 randomly selected third graders from lowa, producing a sample average of 66 points and sample standard deviation of 13 points. The 90% confidence interval for the difference in mean scores between lowa and New Jersey is (-6.22.). (Rounc your responses to two decimal places.) The p-value of the test of no difference in means versus some difference is 0.0024. (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? OA. 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. B. 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. OC. 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. OD. Because of the extremely low p-value, we cannot reject the null hypothesis with a very high degree of ation means for lowa and New Jersey students are not different.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:Suppose a new standardized test is given to 108 randomly selected third-grade students in New Jersey. The sample
average score Y on the test is 62 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 216 randomly selected third graders from lowa, producing a sample average of 66
points and sample standard deviation of 13 points.
The 90% confidence interval for the difference in mean scores between lowa and New Jersey is -6.22.). (Round
your responses to two decimal places.)
The p-value of the test of no difference in means versus some difference is 0.0024. (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?
OA. 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.
B. 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.
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.
OC.
OD. 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.
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