Assume that the mean number of yearly burglary attempts in Normal, IL is $=27,$ with a standard deviation of $=3\mathrm{.}4.$ For a random sample of $40$ years, answer the following:What is the mean of the distribution of $$x $?$What is the standard deviation of the distribution of $$x $?$What is the probability of obtaining a sample mean of less than $26\mathrm{.}4$ burglary attempts?What is the probability of obtaining a sample mean greater than $28\mathrm{.}4$ burglary attempts?

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To solve this problem we need to use the properties of the normal distribution and the central limit ... View the full answer