Question

High School and Beyond, Part l. 

The National Center of Education Statistics conducted a survey of high school seniors, collecting test data on reading, writing, and several other subjects. Here we examine a simple random sample of 200 students from this survey. A histogram of the difference in the reading and writing score of each student is shown below. 

.1. Which set of hypotheses is appropriate for the following research question: is there an significant difference in the average scores of students in the reading and writing exam? 

2. Are the required conditions met to complete this test? Why or why not?

The average observed difference in scores is Xread-wrie=0.572 and the standard deviation of the differences is 8.6497 points. Do these data provide convincing evidence of a difference between the average scores on the two exams? Conduct the hypothesis test. Round all numeric results to 4 decimal places. 

3. Calculate the test statistic. 

4. Calculate the p-value. 

5.What is your conclusion using α= 0.01?

 A. Reject Ho

 B. Do not reject Ho 

6. Based on the results of this hypothesis test, would you expect a confidence interval for the average difference between the reading and writing scores to include 0?

7. Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. 

Answer 1

1

Correct option is B.

2:

Yes data is approximately normally distributed.

(3-5)

Let d = diff = read - write

6:

Since we fail to reject the null hypothesis so confidence interval should contain zero.

7: