13.) [DA2] The Behavioral Risk Factor Surveillance System is an ongoing health survey system that tracks health conditions and risk behaviors in the United States. In one of their studies, a random sample of 8,866 adults answered the question \"Do you consume ve or more servings of fruits and vegetables per day?" The data are summarized by response and by age-group in the frequency table below. The chi-square test computer output is provided below the table. Is there a statistically signicant difference between the age group and their consumption of ve or more servings of fruits and vegetables per day? mum l-IHE-IEI- mum-1m] maul x-squar'ed - 8.9835, df- - Z, p-value - 0.0112 14.) [DA3] A sample of size n = 100 produced the sample mean of X: 16. Assuming the population standard deviation = 3, compute a 95% confidence interval for the population mean. 15.) [DA3] A sample of Alzheimer's patients are tested to assess the amount of time in stage IV sleep. It has been hypothesized that individuals suffering from Alzheimer's Disease may spend less time per night in the deeper stages of sleep. Number of minutes spent in Stage IV sleep is recorded for sixty-one patients. The sample produced a mean of 48 minutes and standard deviation of 14 minutes of stage IV sleep over a 24-hour period of time. Compute a 95 percent condence interval for this data