2. We have a random sample of size 17 from the normal distribution N(µ,o²) where µ and o? are unknown. The sample mean and variance are x = 4.7 and s = 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 µ (c) Compare your answers from part a and b.

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2. We have a random sample of size 17 from the normal distribution N(u, o?) where u and o?
are unknown. The sample mean and variance are = 4.7 and s = 5.76
(a) Compute an exact 95% confidence interval for the population mean u
(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 ơ?
(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 o? are unknown. The sample mean and variance are = 4.7 and s = 5.76 (a) Compute an exact 95% confidence interval for the population mean u (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 ơ? (f) Compare your answer from part (d) and (e)
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