Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Ken is doing a research study to investigate the effects of soluble nitrogen on

ID: 3333738 • Letter: K

Question

Ken is doing a research study to investigate the effects of soluble nitrogen on fish growth in the Everglades.   Suppose he randomly samples from various parts of the Everglades near sugar production farms so that he can estimate the average size of Black Crappie fish. His data in inches were {10, 8, 2, 4, 12, 14, 9}.

What can he say with 99% confidence about the actual average size of Black Crappie fish in the Florida Everglades near sugar production farms? The t table critical value is 3.7074 (calculate the confidence interval)

Explanation / Answer

given data

10, 8, 2, 4, 12, 14, 9

Mean of = 8.42857

Standard deviation = 4.23703

99% confidence intervel= x +/- t*s/sqrt(n)

=8.42857 +- 3.7074*4.23703/sqrt(7)

=8.42857 +/- 5.937203907

=(2.491366093, 14.36577391)