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2. We have a random sample of size 17 from the normal distribution N(H,o²) where u and o? are unknown. The sample mean and variance are = 4.7 and s = 5.76 %3D (a) Compute an exact 95% confidence interval for the population mean µ (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean u (c) Compare your answers from part a and b.

2. We have a random sample of size 17 from the normal distribution N(H,o²) where u and o? are unknown. The sample mean and variance are = 4.7 and s = 5.76 %3D (a) Compute an exact 95% confidence interval for the population mean µ (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean u (c) Compare your answers from part a and b.

Calculus For The Life Sciences
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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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2. We have a random sample of size 17 from the normal distribution N(u, o?) where u and o2 are unknown. The sample mean and variance are x= 4.7 and s² = 5.76 (a) Compute an exact 95% confidence interval for the population mean µ (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean u (c) Compare your answers from part a and b. (d) Compute an exact 95% confidence interval for the population variance o? (e) Use the fact that S2 N(o2, 20) to compute an approximate 95% confidence interval for the population variance o? (f) Compare your answer from part (d) and (e)
Transcribed Image Text:2. We have a random sample of size 17 from the normal distribution N(u, o?) where u and o2 are unknown. The sample mean and variance are x= 4.7 and s² = 5.76 (a) Compute an exact 95% confidence interval for the population mean µ (b) Compute an approximate (i.e. using a normal approximation) 95% confidence interval for the population mean u (c) Compare your answers from part a and b. (d) Compute an exact 95% confidence interval for the population variance o? (e) Use the fact that S2 N(o2, 20) to compute an approximate 95% confidence interval for the population variance o? (f) Compare your answer from part (d) and (e)
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