The following histogram shows the distribution of observations from… The following histogram shows the distribution of observations from a population with a mean of=4=4and a standard deviation ofs=2s=2.Suppose a simple random sample of 100 observations is to be selected from the population and the sample averageXXis calculated. Which of the following statements about the distribution ofXXis TRUE?Group of answer choicesWe are unable to know about the probability that sample average XXfalls between 3.6 and 4.8.We can calculate the probability that sample average XXfalls between 3.6 and 4.8, which is equal to the area under a standard normal curve N(0,1) between -2 and 4.We can calculate the probability that the observations from this distribution fall between 3.6 and 4.8, which is equal to the area under a standard normal curve N(0,1) between -0.2 and 0.4.We can calculate the probability that sample average XXfalls between 3.6 and 4.8, which is equal to the area under a standard normal curve N(0,1) between -0.2 and 0.4.MathStatistics and Probability ST 8114
