The results of a study of 258 students who paid a private tutor to help them improve their scores on a standardized test are shown below. The changes in both the Mathematics and Verbal scores for these students are reproduced in the table. Complete parts a through c below.
Test score improvements |
Math |
Verbal |
|
---|---|---|---|
Mean change in score |
18 |
8 |
|
Standard deviation of score changes |
67 |
50 |
a. Construct and interpret a 95% confidence interval for the population mean change in the Mathematics score for students who pay a private tutor.
(__________,___________)
(Round to three decimal places as needed.)
Interpret this interval. Choose the correct answer below.
A.One can be 95% confident the true mean change in the Mathematics score is one of the end points of the above interval.
B. There is a 95% probability that the true mean change in the Mathematics score is the mean of the interval.
C. One can be 95% confident the true mean change in the Mathematics score lies at the mean of the above interval.
D.One can be 95% confident the true mean change in the Mathematics score lies within the above interval.
b. Construct and interpret a 95% confidence interval for the population mean change in the Verbal score for students who pay a private tutor.
(________,_______)
(Round to three decimal places as needed.)
Interpret this interval. Choose the correct answer below.
A.One can be 95% confident the true mean change in the Verbal score is one of the end points of the above interval.
B.There is a 95% probability that the true mean change in the Verbal score is the mean of the interval.
C.One can be 95% confident the true mean change in the Verbal score lies within the above interval.
D.One can be 95% confident the true mean change in the Verbal score lies at the mean of the above interval.
The results of a study of 258 students who paid a private tutor to help them...
The results of a study of 258 students who paid a private tutor to help them improve their scores on a standardized test are shown below. The changes in both the Mathematics and Verbal scores for these students are reproduced in the table. Complete parts a through c below. Test score improvements Math Verbal Mean change in score 18 8 Standard deviation of score changes 67 50 a. Construct and interpret a 95% confidence interval for the population mean change...
4.9.168 Question Help Some students paid a private tutor to help them improve their results on a certain mathematical test. These students had a mean change in score of +19 points, with a standard deviation of 61 points. Ih a random sample of 100 students who pay a private tutor to help them improve their results, what is the likelihood that the change in the sample mean score is less than 10 points? ick the on to view ee table...
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