Little Town Fisheries recently stocked a new city lake with 1,000 fish of various sizes. The...
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Little Town Fisheries recently stocked a new city lake with 1,000 fish of various sizes. The distribution of the lengths of these fish is approximately normal. 1. Little Town Fisheries claims that the mean length of the fish is 6 inches. If the claim is true, which of the following would be more likely? a. A random sample of 10 fish having a mean length that is less than 5 inches b. A random sample of 25 fish having a mean length that is less than 5 inches? 2. Suppose the standard deviation of the sampling distribution of the sample mean for random samples of size 40 is .25 inches. If the mean length of the fish is 6 inches, use the normal distribution to compute the probability that a random sample of 50 fish will have a mean length more than 6.2 inches. Little Town Fisheries recently stocked a new city lake with 1,000 fish of various sizes. The distribution of the lengths of these fish is approximately normal. 1. Little Town Fisheries claims that the mean length of the fish is 6 inches. If the claim is true, which of the following would be more likely? a. A random sample of 10 fish having a mean length that is less than 5 inches b. A random sample of 25 fish having a mean length that is less than 5 inches? 2. Suppose the standard deviation of the sampling distribution of the sample mean for random samples of size 40 is .25 inches. If the mean length of the fish is 6 inches, use the normal distribution to compute the probability that a random sample of 50 fish will have a mean length more than 6.2 inches.
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