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a high school  basketball players point totals for the regular season are normally distributed with a mean of 17 and a standard deviation of 4

sarah has a point z-score of 2.8

what is sarahs point total for the regular season? And does this point total seem unusual? Explain

 Mar 27, 2019
 #1
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\(T = \mu + z \sigma = 17 + (2.8)(4) = 28.2\\ P[\text{someone scores > Sarah}] = 0.00255513\\ \text{So Sarah's score is pretty exceptional}\)

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 Mar 27, 2019
 #2
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Using a positive z-score table reveals  z = 2.8  is a score better than 99.74% of other players !

 

2.8 x 4  + 17 = 28.2 pts total    for Sarah....

 Mar 27, 2019

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