A particular group of men have heights with a mean of 183 cm and a standard devi

Question

A particular group of men have heights with a mean of 183 cm and a standard deviation of 7 cm. Bill had a height of 187 cm. a. What is the positive difference between Bill's height and the mean? b. How many standard deviations is that [the difference found in part (a)]? c. Convert Bill's height to a z score. d. If we consider "usual heights to be those that convert to z scores between 2 and 2, is Bill's height usual or unusual? a. The positive difference between Bill's height and the mean is cm. b. The difference is standard deviations. Type an integer or decimal rounded to two decimal places as needed.) c. The z score is (Type an integer or decimal rounded to two decimal places as needed.) d. Is Bill's height usual or unusual? O Unusual O Usual

Explanation / Answer

a) Positive difference between Bill's height and the mean is:

(187-183)cm=4cm

b) 4/7=0.57

The difference is 0.57 standard deviations.

c) z score: (187-183)/7=0.57.It lies between -2 and 2.

Hence,Bill's height is Usual.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.