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Q1

Q1. Consider the t distribution with df = 21 What proportion of the area under the curve lies to the left of t = -2.518? What proportion of the area under the curve lies to the right of t = 1.323? What proportion of the area under the curve lies between t = -1.721 and t=2.831?

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Q1

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  1. Q1 Consider the t distribution with df = 21 • What proportion of the area under the curve lies to the left of t = -2.518? • What proportion of the area under the curve lies to the right of t = 1.323? • What proportion of the area under the curve lies between t = -1.721 and t=2.831? • What value of t cuts off the lower 2.5% of the distribution? NOTE: t-table is on the last slide

  2. Q2 Assume the distribution of gestational age at birth is approximately normal with unknown mean  and SD . A random sample of size 14 is selected and has mean gestational age 29.6 weeks and SD s=3.6 weeks • Construct a 95% CI for  if the population SD  is unknown • Construct a 95% CI for  if the population SD  = 3.6 weeks? • What would you say about the two CIs in (1) and (2)? • How large a sample would be required for the 95% CI to have length 3 weeks, if the population SD  = 3.6 weeks? NOTE: tables are enclosed

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