A study of the annual growth of certain cacti showed that 64 of them, selected at random in a desert region, grew on the average 52.80 mm with a standard deviation of 4.5 mm. Construct a 99% confidence interval for the true average annual growth of the given kind of cactus.
Answer to relevant QuestionsIf a sample constitutes an appreciable portion of a population, that is, more than 5 percent of the population according to the rule of thumb given on page 239, the formulas of Theorems 11.1 and 11.2 must be modified by ...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 ...A sample survey at a supermarket showed that 204 of 300 shoppers regularly use coupons. Use the large-sample confidence-interval formula of Theorem 11.6 to construct a 95% confidence interval for the corresponding true ...Show that among all (1 – α) 100% confidence intervals of the form The one with k = 0.5 is the shortest. With reference to Exercise 11.36, construct a 90% confidence interval for the ratio of the variances of the two populations sampled. In exercise The following are the heat- producing capacities of coal from two mines (in ...
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