You may need to use the appropriateappendix tableortechnologyto answer this question.

Two hundred students are enrolled in an Economics class. After the first examination, a random sample of 6 papers was selected. The scores were73,79,94,76,77, and87.(a)Determine the standard error of the mean. (Round your answer to four decimal places.)

3.2352 - Correct answer

(b)What assumption must be made before we can determine an interval for the mean score of all the students in the class? Explain why. Choose an option below

-Sincenis small andis estimated froms,we must assume thatnis greater thans.

-Sincenis small andis estimated froms,we must assume thatsis greater thann.

-Since the distribution of all scores is not normal we must assume=s.

-Sincenis small andis estimated froms,we must assume the distribution of all the scores is normal.

-Sincenis small andis estimated froms,we must assume thatxis greater thans.

(c)Assume the assumption of Part b is met. Provide a 95% confidence interval for the mean score of all the students in the class. (Round your answers to two decimal places.) to