**The Distribution of Sample Means:**The average mortgage for new families in Texas in $ 1300, with a standard deviation of $ 800. If 100 new families are surveyed, what is the probability that the mean mortgage payment will exceed $ 1500?

8

**00/sqrt(100)**

*[1] 80*

**(1500-1300) / 80**

*[1] 2.5*

**pnorm(2.5, lower.tail=FALSE)**

*[1] 0.006209665*

There is a 0.62% chance of this occurring.

*An American football team typically scores 17 points per game, with a standard deviation of 3 points. In a sample of 16 games, what is the probability that the team scored an average of between 16 - 19 points?*

**3/sqrt(16)***[1] 0.75***(16 - 19) / 0.75***[1] -4***1 - pnorm(-4, lower.tail = TRUE) * 2***[1] 0.9999367*

There is a 99.99% chance of this occurring.

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