Embry Riddle wants to know more about the knowledge of their Graduate students r

Question

Embry Riddle wants to know more about the knowledge of their Graduate students regarding international Aviation law. They are concerned that their students are uninformed in regards to international law from other countries. A standardized test is used to assess the students knowledge (national reported mean=65, sd=5). A sample of 30 students are tested (sample mean=58, standard error=3.2). Compute a 99 percent confidence interval based on this sample's data. How do these students compare to the national sample?

Explanation / Answer

Embry Riddle wants to know more about the knowledge of their Graduate students regarding international Aviation law. They are concerned that their students are uninformed in regards to international law from other countries. A standardized test is used to assess the students knowledge (national reported mean=65, sd=5). A sample of 30 students are tested (sample mean=58, standard error=3.2). Compute a 99 percent confidence interval based on this sample's data. How do these students compare to the national sample?

Table value of t with 29 DF at 99% level =2.756

CI= mean±t*se

=58±2.576*3.2 =58±8.2432

= (49.7568, 66.2432)

Mean of the national mean of 65 falls in the 99% confidence interval (49.7568, 66.2432).

We conclude that the students are from the national sample with mean 65.

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