Question

In: Statistics and Probability

A psychological test was standardized for a population of tenth-grade students in such a way that...

A psychological test was standardized for a population of tenth-grade students in such a way that the mean must be 500 and the standard deviation must be 100. A sample of 90 twelfth-grade students was selected independently and at random, and each given the test. The sample mean turned out to be 506.7. On this basis, can one say that the population distribution for twelfth grade students would differ from that of tenth-graders?

Solutions

Expert Solution

z-Test for one population mean was used to test the claim.

At 0.05 significance level, there is not enough evidence to claim that the population distribution for twelfth grade students would differ from that of tenth-graders.


Related Solutions

In a school district, all sixth grade students take the same standardized test. The superintendant of...
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 2323 scores from all of the students who took the test. She sees that the mean score is 147147 with a standard deviation of 18.963118.9631. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 1212. Is there evidence that the standard deviation of test scores has...
In a school district, all sixth grade students take the same standardized test. The superintendant of...
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 25 scores from all of the students who took the test. She sees that the mean score is 170 with a standard deviation of 4.0774. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 13. Is there evidence that the standard deviation of test scores has...
In a school district, all sixth grade students take the same standardized test. The superintendant of...
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 22 scores from all of the students who took the test. She sees that the mean score is 160 with a standard deviation of 28.2396. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 28. Is there evidence that the standard deviation of test scores has...
In a school district, all sixth grade students take the same standardized test. The superintendent of...
In a school district, all sixth grade students take the same standardized test. The superintendent of the school district takes a random sample of 26 scores from all of the students who took the test. She sees that the mean score is 130 with a standard deviation of 7.2344. The superintendent wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 16. Is there evidence that the standard deviation of test scores has...
In a school district, all sixth grade students take the same standardized test. The superintendant of...
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 26 scores from all of the students who took the test. She sees that the mean score is 101 with a standard deviation of 10.1793. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 21. Is there evidence that the standard deviation of test scores has...
In a school district, all sixth grade students take the same standardized test. The superintendant of...
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 29 scores from all of the students who took the test. She sees that the mean score is 167 with a standard deviation of 11.4238. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 18. Is there evidence that the standard deviation of test scores has...
In a school district, all sixth grade students take the same standardized test. The superintendant of...
In a school district, all sixth grade students take the same standardized test. The superintendant of the school district takes a random sample of 25 scores from all of the students who took the test. She sees that the mean score is 139 with a standard deviation of 16.5865. The superintendant wants to know if the standard deviation has changed this year. Previously, the population standard deviation was 29. Is there evidence that the standard deviation of test scores has...
Suppose a new standardized test is given to 100 randomly selected third-grade students in Connecticut. The...
Suppose a new standardized test is given to 100 randomly selected third-grade students in Connecticut. The sample average score x¯ on the test is 58 points, and the sample standard deviation, sx, is 8 points. 2.1 The authors pan to administer the test to all third-grade students in Connecticut. Construct 95% confidence interval for the mean score on all Connecticut third graders. (5 points) 2.2 Suppose the same test is given to a 200 randomly selected third graders from Iowa,...
6) A standardized reading achievement test for 5th grade students has a nationwide mean of μ...
6) A standardized reading achievement test for 5th grade students has a nationwide mean of μ = 70. A teacher would like to know whether the students in her fifth grade class are significantly different from the national average. The test is given to the entire class of n = 25 students and the average score is 75 with SS = 2400.      a) Using a two-tailed test with α = .05, is this class significantly different from the national...
Suppose a new standardized test is given to 97 randomly selected​ third-grade students in New Jersey....
Suppose a new standardized test is given to 97 randomly selected​ third-grade students in New Jersey. The sample average score Upper Y overbarY on the test is 56 ​points and the sample standard​ deviation, s Subscript Upper YsY​, is 10 points. The authors plan to administer the test to all​ third-grade students in New Jersey. 1. The​ 95% confidence interval for the mean score of all New Jersey third graders is (round to two decimal places). 2. Suppose the same...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT