# Question: With reference to Exercise 11 30 construct a 95 confidence interval

With reference to Exercise 11.30, construct a 95% confidence interval for the true variance of the skull length of the given species of bird.

In exercise

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 interval for the mean length of the skulls of this species of bird.

In exercise

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 interval for the mean length of the skulls of this species of bird.

## Answer to relevant Questions

With reference to Exercise 11.32, construct a 90% confidence interval for the standard deviation of the population sampled, that is, for the percentage of impurities in the given brand of peanut butter. 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 ...Decide in each case whether the hypothesis is simple or composite: (a) The hypothesis that a random variable has a gamma distribution with α = 3 and β = 2; (b) The hypothesis that a random variable has a gamma ...With reference to Exercise 12.3, suppose that we had wanted to test the null hypothesis k ≤ 2 against the alternative hypothesis k > 2. Find the probabilities of (a) Type I errors for k = 0, 1, and 2; (b) Type II errors ...Independent random samples of sizes n1, n2, . . . , and nk from k normal populations with unknown means and variances are to be used to test the null hypothesis σ21 = σ22 = · · · = σ2k against the alternative that ...Post your question