the manager of an aquatic center is interested in the average number of fish people keep in their saltwater…

the manager of an aquatic center is interested in the average number of fish people keep in their saltwater tanks. she randomly selects 38 people who own saltwater fish tanks and asks how many fish they have. the mean amount is 48.2 fish with a standard deviation of 22.1 fish. which of the following correctly interprets the 99% confidence interval for the true mean number of fish in saltwater tanks? in repeated sampling, 99% of the time the true mean number of fish in saltwater tanks will be 48.2. 99% of all saltwater tank owners have the number of fish in their tanks that lie between the values in the interval. the manager can be 99% confident that the constructed interval captures the true mean number of fish in saltwater tanks. in repeated sampling, 99% of the time the true mean number of fish in saltwater tanks will be captured in the constructed interval.

the manager of an aquatic center is interested in the average number of fish people keep in their saltwater tanks. she randomly selects 38 people who own saltwater fish tanks and asks how many fish they have. the mean amount is 48.2 fish with a standard deviation of 22.1 fish. which of the following correctly interprets the 99% confidence interval for the true mean number of fish in saltwater tanks? in repeated sampling, 99% of the time the true mean number of fish in saltwater tanks will be 48.2. 99% of all saltwater tank owners have the number of fish in their tanks that lie between the values in the interval. the manager can be 99% confident that the constructed interval captures the true mean number of fish in saltwater tanks. in repeated sampling, 99% of the time the true mean number of fish in saltwater tanks will be captured in the constructed interval.

Answer

Brief Explanations:

A confidence - interval is an interval estimate of a population parameter. A 99% confidence interval means that if we were to take many samples and construct a confidence interval for each sample, about 99% of those intervals would contain the true population mean. It does not mean that the true mean has a 99% chance of being a particular value (like 48.2), nor does it mean that 99% of the individual data points (number of fish per tank) lie within the interval.

Answer:

In repeated sampling, 99% of the time the true mean number of fish in saltwater tanks will be captured in the constructed interval.