Part I: Questions 9a-9c                        

 

The average height of members of a high school softball team is 68.2 inches (m = 68.2 in.) with s = 1.1 inches. Use the normal distribution and the formulas and steps in this week’s presentations to answer the following questions:

 

Note: Showing work is required for this section. Remember that it helps to transfer the raw mean and SD from the description above to the standardized curve shown here (though you don’t need to show this). This helps compare raw and z scores and check your work.

 

9a)

What is the z score for a team member who is 69.5 inches tall? Based on the z score and the z table, what is the team member’s percentile? (Hint: See slide 7 of this week’s related presentation)

Answer (z score): 1.18

Work (required):

Z=(m-u_m)/SDm=69.5-68.2/1.1=1.3 1.3/1.1=1.18

Answer (percentile):

Work/reasoning using z table (required):

9b)

What is the height (in inches) that marks the 70^th percentile for this group of softball players? (Hint: See slides 14-16 of this week’s related presentation)

 

Answer

 

Work (required):

 

9c)

What percent of players are between 67 and 70 inches tall? (Hint: See slide 12 of this week’s related presentation)

Answer

Work (required):

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