3. Suppose the heights of girls at any given age are normally distributed daughter was in the 5th A. At 7 years old, Mr. percentile of heights. If the mean height of 7 year old girls is 122cm with standard deviation of 5cm, how tall was she? Include a sketch of the normal curve shaded to show your answer: B. At 10 years old, the mean height of girls is 138cm with standard deviation of 7cm. Mr. daughter was 139cm tall at 10 years old. What is the z-score of her height and new percentile rank? c. To convert from cm to inches, a value would be divided by 2.54 (or multiplied by). What would be the mean and standard deviation of girls' heights in inches (from question 3B above)?

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3. Suppose the heights of girls at any given age are normally distributed
daughter was in the 5th
A. At 7 years old, Mr.
percentile of heights.
If the mean height of 7 year old girls is 122cm with
standard deviation of 5cm, how tall was she? Include a
sketch of the normal curve shaded to show your answer:
B. At 10 years old, the mean height of girls is 138cm with
standard deviation of 7cm. Mr.
daughter was
139cm tall at 10 years old. What is the z-score of her
height and new percentile rank?
C. To convert from cm to inches, a value would be divided by
2.54 (or multiplied by). What would be the mean and
standard deviation of girls' heights in inches (from question
3B above)?
Transcribed Image Text:3. Suppose the heights of girls at any given age are normally distributed daughter was in the 5th A. At 7 years old, Mr. percentile of heights. If the mean height of 7 year old girls is 122cm with standard deviation of 5cm, how tall was she? Include a sketch of the normal curve shaded to show your answer: B. At 10 years old, the mean height of girls is 138cm with standard deviation of 7cm. Mr. daughter was 139cm tall at 10 years old. What is the z-score of her height and new percentile rank? C. To convert from cm to inches, a value would be divided by 2.54 (or multiplied by). What would be the mean and standard deviation of girls' heights in inches (from question 3B above)?
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