Question

The paper "The Effects of Adolescent Volunteer Activities on the Perception of Local Society and Community Spirit Mediated by Self-Conception"† describes a survey of a large representative sample of middle school children in South Korea. One question in the survey asked how much time per year the children spent in volunteer activities. The sample mean was 14.76 hours and the sample standard deviation was 16.54 hours.

Calculate a 95% confidence interval (in hours) for the mean number of hours spent in volunteer activities per year for South Korean middle school children. (Round your answers to three decimal places.)

Answer 1

The calculation of a 95% confidence interval for the mean requires the sample size which is not provided. Once the sample size is given, we can proceed with the calculation using the t-distribution.

Step-by-step explanation:

The given data includes a sample mean (μ) of 14.76 hours, a sample standard deviation (s) of 16.54 hours, and the sample size is not provided. To calculate the 95% confidence interval for the mean number of hours South Korean middle school children spend in volunteer activities per year, we would normally use the t-distribution because the population standard deviation is unknown.

However, the sample size is required to determine the degrees of freedom for the t-distribution. Since the sample size is not given, we cannot proceed with the confidence interval calculation. Please provide the sample size to continue.