Question 2. Consider the following random sample of size n = 35 from N(μ, 0²): 0.88 1.31 1.43 1.84 1.98 2.14 2.43 2.49 2.57 2.62 2.65 2.79 2.89 2.92 2.92 2.95 2.95 3.03 3.03 3.09 3.16 3.17 3.19 3.25 3.28 3.43 3.75 3.93 4.07 4.11 4.12 4.26 4.60 5.05 5.70, 35 where = 107.98 and ₁x² = 368.057. Round your answer to four decimal places. (a) Assuming o = 1, construct the 95% confidence interval for u. (b) Assuming o= 1, construct the 99% confidence interval for μ. (c) Estimate o by the sample standard deviations and construct the 95% confidence interval for u when σ is unknown.
Question 2. Consider the following random sample of size n = 35 from N(μ, 0²): 0.88 1.31 1.43 1.84 1.98 2.14 2.43 2.49 2.57 2.62 2.65 2.79 2.89 2.92 2.92 2.95 2.95 3.03 3.03 3.09 3.16 3.17 3.19 3.25 3.28 3.43 3.75 3.93 4.07 4.11 4.12 4.26 4.60 5.05 5.70, 35 where = 107.98 and ₁x² = 368.057. Round your answer to four decimal places. (a) Assuming o = 1, construct the 95% confidence interval for u. (b) Assuming o= 1, construct the 99% confidence interval for μ. (c) Estimate o by the sample standard deviations and construct the 95% confidence interval for u when σ is unknown.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 10E
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Transcribed Image Text:Question 2. Consider the following random sample of size n = 35 from N(μ, o²):
0.88 1.31 1.43 1.84 1.98 2.14 2.43
2.49 2.57 2.62 2.65 2.79 2.89 2.92
2.92 2.95 2.95 3.03 3.03 3.09 3.16
3.17 3.19 3.25 3.28 3.43 3.75 3.93
4.07 4.11 4.12 4.26 4.60 5.05 5.70,
where ₁x₁ = 107.98 and ₁x² = 368.057.
Round your answer to four decimal places.
(a) Assuming o = 1, construct the 95% confidence interval for u.
(b) Assuming o = 1, construct the 99% confidence interval for u.
(c) Estimate o by the sample standard deviations and construct the 95% confidence interval
for when o is unknown.
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