Medical records at a doctor's office reveal that 12% of adult patients have seasonal allergies. Select a random sample of 100 adult patients and let the number of individuals in the sample who have allergies. (a) Calculate the mean and standard.deviation of the sampling distribution of Y. means 100 x0.12 12 (b) Interpret the standard deviation from part (a) sd - V100 0.12 0.88 - 3.2496 **012.0. Since the value of the standard deviation is high compared to the mean so it indicates that the data points spread out over a lar large range of Values This binomial dist. can be approx. as normal dist. Since; npss and nq >5 np = 12 and nq:88 (c) Would it be appropriate to use a normal distribution to model the sampling distribution of Y? Justify your answer.