The article Filtration Rates of the Zebra Mussel (Dreissena polymorpha) on Natural Seston from Saginaw Bay, Lake

Question:

The article "Filtration Rates of the Zebra Mussel (Dreissena polymorpha) on Natural Seston from Saginaw Bay, Lake Huron" (D. Fanslow, T. Nalepa, and G. Lang, Journal of Great Lakes Research 1995:489:500) reports measurements of the rates (in mL/mg/h) at which mussels filter seston (particulate matter suspended in seawater).
a. In the year 1992, 5 measurements were made in the Outer Bay; these averaged 21.7 with a standard deviation of 9.4. Find a 95% confidence interval for the mean filtration rate in the Outer Bay.
b. In the year 1992, 7 measurements were made in the Inner Bay; these averaged 8.6 with a standard deviation of 4.5. Should the Student's t be used to find a 95% confidence interval for the mean filtration rate for the Inner Bay? If so, find the confidence interval. If not, explain why not.
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