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 0² = 4. I (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 u.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 x = 78 and
0² = 4.
I
(a) Mr. Guo wishes to construct a 98% confidence interval for fly 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 u.
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 x = 78 and 0² = 4. I (a) Mr. Guo wishes to construct a 98% confidence interval for fly 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 u.
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