The article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research, 2016:223–232) presents measurements of arsenic concentrations in fish found in Northern Canada. a) In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Find a 95% confidence interval for the concentration in whitefish found in Yellowknife Bay. b) In a sample of 8 whitefish caught in Baker Pond, the mean arsenic concentration in the liver was 0.55 mg/kg, with a standard deviation of 0.36 mg/kg. Should the Student’s t distribution be used to find a 95% confidence interval for the concentration in whitefish found in Baker Pond? If so, find the confidence interval. If not, explain why not.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The article “Arsenic and Mercury in Lake Whitefish and Burbot Near the Abandoned Giant
Mine on Great Slave Lake” (P. Cott, B. Zajdlik, et al., Journal of Great Lakes Research,
2016:223–232) presents measurements of arsenic concentrations in fish found in Northern
Canada.
a) In a sample of 8 whitefish caught in Yellowknife Bay, the mean arsenic concentration
in the liver was 0.32 mg/kg, with a standard deviation of 0.05 mg/kg. Find a 95%
confidence interval for the concentration in whitefish found in Yellowknife Bay.
b) In a sample of 8 whitefish caught in Baker Pond, the mean arsenic concentration in the
liver was 0.55 mg/kg, with a standard deviation of 0.36 mg/kg. Should the Student’s t
distribution be used to find a 95% confidence interval for the concentration in
whitefish found in Baker Pond? If so, find the confidence interval. If not, explain why
not.
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