Suppose a simple random sample of size nequals15 is obtained from a population with muequals69 and sigmaequals16. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x overbar. (b) Assuming the normal model can be used, determine P(x overbarless than72.5). (c) Assuming the normal model can be used, determine P(x overbargreater than or equals71.4). Click here to view the standard normal distribution table (page 1).LOADING... Click here to view the standard normal distribution table (page 2).LOADING... Question content area bottom Part 1 (a) What must be true regarding the distribution of the population? A.Since the sample size is large enough comma the population distribution does not nbsp need to be normal. Since the sample size is large enough comma the population distribution does not nbsp need to be normal. B. The population must be normally distributed and the sample size must be large. C. There are no requirements on the shape of the distribution of the population. D.The population must be normally distributed. nothing The population must be normally distributed. nothing