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5. A random sample of size 81 has sample mean 20 and sample standard deviation 3.

(a) Is it appropriate to use a Student’s t distribution to compute a confidence interval for the population mean μ? Explain. (1 mark)

(b) Find a 95% confidence interval for μ. (3 marks)
(c) Explain the meaning of the confidence interval you computed. (1 mark)

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