There is a population of roughly 1.6 million Ohio seniors who collect Social Security, and their…

There is a population of roughly 1.6 million Ohio seniors who collect Social Security, and their benefits average $1,503 per month. The population standard deviation is $130. A random sample of n = 100 Ohio seniors who collect Social Security benefits is drawn and their monthly benefit amount is recorded. The probability that the sample mean will be between $1,484 and $1,529 is D. (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules.) Assume that many samples of n = 100 Ohio seniors who collect Social Security benefits are drawn from the population and that the average monthly benefit amount is calculated for each sample. Fourteen percent (14%) of the samples drawn from this population will have a sample mean above $ [ 1. (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 2 decimal places, using conventional rounding rules.)