Question: Use the result of Exercise 11 15 to show that when
Use the result of Exercise 11.15 to show that when n1 = n2 = n, we can be at least (1 – a) 100% confident that the error that we make when using θ1 – θ2 as an estimate of θ1 – θ2 is less than e when
Answer to relevant QuestionsFill in the details that led from the probability on page 325 to the confidence-interval formula of Theorem 11.10. With reference to Exercise 11.22, suppose that the research worker takes his sample and gets = 141.8 mm of mercury. Construct a 98% confidence interval for the mean blood pressure of women in their fifties. The length of the skulls of 10 fossil skeletons of an extinct species of bird has a mean of 5.68 cm and a standard deviation of 0.29 cm. Assuming that such measurements are normally distributed, find a 95% confidence ...Show that the (1 – α) 100% confidence interval Is shorter than the (1 – α) 100% confidence interval With reference to Exercise 11.50, what can we say with 98% confidence about the maximum error if we use the difference between the observed sample proportions as an estimate of the difference between the corresponding true ...
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