Mr. Guo selects a random sample of size n = 16 from a populatio that is normally distributed. The sample is found to have = 78 ar g² = 4. (a) Mr. Guo wishes to construct a 98% confidence interval for u, t population mean. Are all conditions met? If not, explain why.

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3. Mr. Guo selects a random sample of size n = 16 from a population
that is normally distributed. The sample is found to have = 78 and
² = 4.
(a) Mr. Guo wishes to construct a 98% confidence interval for μ, the
population mean. Are all conditions met? If not, explain why.
(b) Find an appropriate critical number associated with a central 98%
confidence interval. Hint: Which distribution should we use?
(c) Construct a central 98% confidence interval for μ.
Transcribed Image Text:3. Mr. Guo selects a random sample of size n = 16 from a population that is normally distributed. The sample is found to have = 78 and ² = 4. (a) Mr. Guo wishes to construct a 98% confidence interval for μ, the population mean. Are all conditions met? If not, explain why. (b) Find an appropriate critical number associated with a central 98% confidence interval. Hint: Which distribution should we use? (c) Construct a central 98% confidence interval for μ.
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