Tall Dutch Men: Part A Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as  http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question: Dutch men are famously perceived as being tall.  In a 2014 survey it was found that the mean adult male height in the Netherlands was 182.5 cm with a standard deviation of 7.4 cm and that the heights followed a normal distribution. What proportion of the population of adult males in the Netherlands would be between the heights of 178.8 cm and 186.2 cm?  Express your answer as a percentage rounded off to 1 decimal place.

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Tall Dutch Men: Part A

Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf or an online calculator such as  http://onlinestatbook.com/2/calculators/normal_dist.html to answer the following question:

Dutch men are famously perceived as being tall.  In a 2014 survey it was found that the mean adult male height in the Netherlands was 182.5 cm with a standard deviation of 7.4 cm and that the heights followed a normal distribution.

What proportion of the population of adult males in the Netherlands would be between the heights of 178.8 cm and 186.2 cm?  Express your answer as a percentage rounded off to 1 decimal place.

 

Tall Dutch Men: Part B

Which of the following normal distribution curves would best represent the probability calculated in the previous question?

   

normal distribution a

   

normal distribution b

   

normal distribution c

   

normal distribution d

 


  

normal distribution e


  

normal distribution f

Tall Dutch Men: Part C

Use a z-table such as https://www.math.arizona.edu/~rsims/ma464/standardnormaltable.pdf to answer the following question:

Dutch men are famously perceived as being tall.  In a 2014 survey it was found that the mean adult male height in the Netherlands was 182.5 cm with a standard deviation of 7.4 cm and that the heights followed a normal distribution.

What is the 90th percentile for male height in the Netherlands?  In other words, under what height does 90% of the population fall?  Round your answer to 1 decimal place.

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