# Question: A marine biologist wishes to use parrot fish for experimental

A marine biologist wishes to use parrot fish for experimental purposes due to the belief that their weight is fairly stable (i.e., the variability in weights among parrot fish is small). The biologist randomly samples 10 parrot fish and finds that their mean weight is 4.3 pounds and the standard deviation is 1.4 pounds. The biologist will use the parrot fish only if there is evidence that the variance of their weights is less than 4.

a. Is there sufficient evidence for the biologist to claim that the variability in weights among parrot fish is small enough to justify their use in the experiment? Test at α = .05.

b. State any assumptions that are needed for the test mentioned in part a to be valid.

a. Is there sufficient evidence for the biologist to claim that the variability in weights among parrot fish is small enough to justify their use in the experiment? Test at α = .05.

b. State any assumptions that are needed for the test mentioned in part a to be valid.

## Relevant Questions

Refer to Exercise 8.153. a. In the context of the problem, define a Type II error. b. Calculate b for the test described in part a of Exercise 8.153, assuming that the true mean is µ = 3.1 ppm. c. What is the power of ...In each case, determine whether the sample sizes are large enough to conclude that the sampling distribution of (p̂1 - p̂2) is approximately normal. a. n1 = 10, n2 = 12, p̂1 = .50, p̂2 = .50 b. n1 = 10, n2 = 12, p̂1 = ...Detection of rigged school milk prices (cont’d). Refer to the investigation of collusive bidding in the northern Kentucky school milk market, presented in Exercise. Market allocation is a common form of collusive behavior ...The F-statistic used for testing H0: σ12 = σ22 against Ha: σ12 < σ22 is F = (s1)2/(s2)2. List the assumptions necessary for each of the following inferential techniques: a. Large-sample inferences about the difference (µ1 – µ2) between population means, using a two-sample z–statistic b. Small-sample ...Post your question