the paper "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.

a.) based on the reported sample mean and sample standard deviation, explain why it is not reasonable to think that the distribution of volunteer times is appropriately normal and we assume the sample mean of X=14.76 and standard deviation of S=16.54 hours are good approximations to the population mean and standard deviation, we would expect that approximately_____% of volunteer times would be negative. therefore, it_____reasonable to think that the distribution of volunteer times is approximately normal.

c.) calculate a 95 % confidence interval in hours for the mean number of hours spent in volunteer activities per year for south Korea middle school children. round your answer to three decimal places.