Question

The Programme Monitoring and Implementation Unit in Punjab conducted a survey of Grade 9 Students, collecting test data on reading, writing, and several other subjects. Here we examine a simple random sample of 250 students from this survey. a) Create hypotheses appropriate for the following research question: is there an evident difference in the average scores of students in the reading and writing exam? b) The average observed difference in scores is mean ( reading scores) – mean ( writing scores ) = – 0.545, and the standard deviation of the differences is 9.87 points. Does this data provide convincing evidence of a difference between the average scores on the two exams? c) Calculate a 95% confidence interval for the average difference between the reading and writing scores of all students. d) Interpret this interval in context. e) Does the confidence interval provide convincing evidence that there is a real difference in the average scores? Explain.

Answer 1