A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235. From previous studies, you know the population standard deviation is 28. The principal has decided that she wants to estimate the average score to within 4 points (margin of error = 4) with 99% confidence. If she can only administer the test to one random sample of students, how large should this sample be to achieve the desired margin of error and confidence level? O A. 188 students B. 75 students O C. 16 students O D. 326 students O E. 325 students

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A teacher administers a standardized math test to his class of 75 students.
The mean score (out of 300 possible points) is 235. From previous studies,
you know the population standard deviation is 28. The principal has decided
that she wants to estimate the average score to within 4 points (margin of
error = 4) with 99% confidence. If she can only administer the test to one
random sample of students, how large should this sample be to achieve the
desired margin of error and confidence level?
O A. 188 students
O B. 75 students
O C. 16 students
D. 326 students
O E. 325 students
Transcribed Image Text:A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235. From previous studies, you know the population standard deviation is 28. The principal has decided that she wants to estimate the average score to within 4 points (margin of error = 4) with 99% confidence. If she can only administer the test to one random sample of students, how large should this sample be to achieve the desired margin of error and confidence level? O A. 188 students O B. 75 students O C. 16 students D. 326 students O E. 325 students
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