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 thechildren spent in volunteer activities. The sample mean was 14.76 hours and the sample standard deviation was 16.54 hours.USE SALT(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 for the population of South Korean middle school students is approximately normal. (Round your answer to nearest percent.)✔% of volunteer times would be negative. Therefore, it is notreasonable to think that theIf the distribution of volunteer times is approximately normal, for the sample standard deviation of s-16. 4 hours and the sample mean of x 14.76 hours, approximately 19distribution of volunteer times is approximately normal.(b) The sample size was not given in the paper, but the sample size was described as large. Suppose that the sample size was 700. Explain why it is reasonable to use a one-sample t confidence interval to estimate the population mean even though the population distribution is not approximatelynormal. (Select all that apply.)It is reasonable to use a one-sample t confidence interval to estimate the population mean since the sample size is at most 30.✔It is reasonable to use a one-sample t confidence interval to estimate the population mean since the sample size is at least 30.It is reasonable to use a one-sample t confidence interval to estimate the population mean since the sample is representative of the population.It is reasonable to use a one-sample t confidence interval to estimate the population mean since the statistics came from a paper.reasonable to use a one-sample t confidence interval to estimate the population mean since all ofmiddle school children in South Korea were surveyed.(c) 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.)(15.985 x 13.535 x ) hrsInterpret the interval.O There is a 95% chance that the true mean number of hours spent in volunteer activities per year for South Korean middle school children falls directly in the middle of this interval.O There is a 95% chance that the number of hours spent in volunteer activities per year for South Korean middle school children falls within this interval.We are 95% confident that the true mean number of hours spent in volunteer activities per year for South Korean middle school children falls within this interval.O We are 95% confident that the number of hours spent in volunteer activities per year for South Korean middle school children falls within this interval.O There is a 95% chance that the number of hours spent in volunteer activities per year for South Korean middle school children falls directly in the middle of this interval.

Question

The paper &#34;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 thechildren spent in volunteer activities. The sample mean was 14.76 hours and the sample standard deviation was 16.54 hours.USE SALT(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 for the population of South Korean middle school students is approximately normal. (Round your answer to nearest percent.)✔% of volunteer times would be negative. Therefore, it is notreasonable to think that theIf the distribution of volunteer times is approximately normal, for the sample standard deviation of s-16. 4 hours and the sample mean of x 14.76 hours, approximately 19distribution of volunteer times is approximately normal.(b) The sample size was not given in the paper, but the sample size was described as large. Suppose that the sample size was 700. Explain why it is reasonable to use a one-sample t confidence interval to estimate the population mean even though the population distribution is not approximatelynormal. (Select all that apply.)It is reasonable to use a one-sample t confidence interval to estimate the population mean since the sample size is at most 30.✔It is reasonable to use a one-sample t confidence interval to estimate the population mean since the sample size is at least 30.It is reasonable to use a one-sample t confidence interval to estimate the population mean since the sample is representative of the population.It is reasonable to use a one-sample t confidence interval to estimate the population mean since the statistics came from a paper.reasonable to use a one-sample t confidence interval to estimate the population mean since all ofmiddle school children in South Korea were surveyed.(c) 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.)(15.985 x 13.535 x ) hrsInterpret the interval.O There is a 95% chance that the true mean number of hours spent in volunteer activities per year for South Korean middle school children falls directly in the middle of this interval.O There is a 95% chance that the number of hours spent in volunteer activities per year for South Korean middle school children falls within this interval.We are 95% confident that the true mean number of hours spent in volunteer activities per year for South Korean middle school children falls within this interval.O We are 95% confident that the number of hours spent in volunteer activities per year for South Korean middle school children falls within this interval.O There is a 95% chance that the number of hours spent in volunteer activities per year for South Korean middle school children falls directly in the middle of this interval.

Accepted Answer

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