In the US, the systolic blood pressure of a randomly selected patient has unknown distribution with a mean of 116 mmHg and a standard deviation of 19.7 mmHg. Let XX be the systolic blood pressure of a randomly selected patient and let ¯¯¯XX¯  be the average systolic blood pressure of a random sample of size 35. 1. Describe the probability distribution of XX and state its parameters μμ and σσ:  X∼X∼         ( μ=μ= , σ=σ= ) and find the probability that the systolic blood pressure of a randomly selected patient is less than 120 mmHg.   (If you can find the probability given the information above, round your answer to 3 decimal places. If you cannot find the probability given the information above, enter "DNE".) 2. Use the Central Limit Theorem because...       to describe the probability distribution of ¯¯¯XX¯ and state its parameters μ¯¯¯XμX¯ and σ¯¯¯XσX¯: (Round the answers to 1 decimal place)  ¯¯¯X∼X¯∼         ( μ¯¯¯X=μX¯= , σ¯¯¯X=σX¯= ) and find the probability that the average systolic blood pressure of a sample of 35 randomly selected patients is between 114 and 117 mmHg.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.