Question

A wild service wishes to estimate the mean number of days of hunting per hunter for all hunters licensed in the state during a given season. How many hunters must be included in the sample in order to estimate the mean with a bound on the error of estimation equal to 2 hunting days? Assume that data collected in earlier surveys have shown σ to be approximately equal to 10.

Answer 1

To calculate the sample size required to estimate the mean number of days of hunting per hunter with an error of estimation of 2 days, given a population standard deviation of 10, we need the confidence level to determine the z-value. Without the confidence level, we cannot calculate the specific sample size.

Step-by-step explanation:

To estimate the mean number of days of hunting per hunter with a bound on the error of estimation equal to 2 hunting days, and knowing the population standard deviation (σ) is approximately 10, we can use the formula for the sample size in a mean estimation scenario:

n = (Z*σ/E)^2

Where 'n' is the sample size, 'Z' is the z-value corresponding to the desired confidence level, σ is the population standard deviation, and 'E' is the desired margin of error. However, the provided question does not specify the confidence level, which is necessary to find the appropriate z-value. Assuming a common confidence level (e.g., 95%), we could find the appropriate z-value from a standard normal distribution table and calculate 'n'. Without this information, we cannot calculate a specific sample size.