3. (a) In an ecological study of tortoises of the species Chelonoidis nigra in the Galápagos Islands, a researcher weighs 10 individuals, obtaining a mean of 350 kg with a standard deviation of 20. i. Construct and interpret the 95% confidence interval for the population mean of weights of tortoises. ii. The researcher also measured the length, in centimetres, of the tortoises shells, and made the following statement "We obtained a 95% confidence interval of (142 cm, 162 cm), which means that 95% of the sampled tortoises had a shell length between 142 cm and 162 cm." Is the statement made by the researcher correct? Why or why not?

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3. (a) In an ecological study of tortoises of the species Chelonoidis nigra in the
Galápagos Islands, a researcher weighs 10 individuals, obtaining a mean of
350 kg with a standard deviation of 20.
i. Construct and interpret the 95% confidence interval for the population
mean of weights of tortoises.
ii. The researcher also measured the length, in centimetres, of the tortoises'
shells, and made the following statement
"We obtained a 95% confidence interval of (142 cm, 162 cm),
which means that 95% of the sampled tortoises had a shell length
between 142 cm and 162 cm."
Is the statement made by the researcher correct? Why or why not?
Transcribed Image Text:3. (a) In an ecological study of tortoises of the species Chelonoidis nigra in the Galápagos Islands, a researcher weighs 10 individuals, obtaining a mean of 350 kg with a standard deviation of 20. i. Construct and interpret the 95% confidence interval for the population mean of weights of tortoises. ii. The researcher also measured the length, in centimetres, of the tortoises' shells, and made the following statement "We obtained a 95% confidence interval of (142 cm, 162 cm), which means that 95% of the sampled tortoises had a shell length between 142 cm and 162 cm." Is the statement made by the researcher correct? Why or why not?
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