You have information to suggest that a certain continuous variable of a populaton has a mean of μ-11.46 and a standard deva ton of σ = 6.15. You are to randomly pick n = 78 individuals from this population and observe the value of the population variable on each . This values to measured as X After the random sample of n = 78 has been taken, you are asked to consider the behavior of the statistic X (a) Complete the statement below. Use at least two decimals in each numeric answer. The distribution of X with a mean μ5-- and a standard deviation σ (b) Find the probability that mean of the sample of n = 78 is between 10.76 and 1 1.86. Use at least three decimals in your z-values, and enter your answer to four decimals.

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