Suppose that 10^th grade girls have hair lengths that are normally distributed w

Question

Suppose that 10^th grade girls have hair lengths that are normally distributed with a mean of 10 inches and a standard deviation of 4 inches. How long would a 10^th grade girl's hair have to be so that it is longer than 80% of all girls? Suppose that mathematics SAT scores are normally distributed with a mean of 500 and a standard deviation of 100, and the ACT scores are normally distributed with a mean of 18 and a standard deviation of 6. If a school only accepts students with SAT or ACT math scores in the top 10 percent, what are the minimum ACT and SAT scores that would be acceptable for that school? Same question, but for a school accepting the top 20%. Same question, but for a school accepting the top 60%.

Explanation / Answer

Question1

Mean is 10 and SD is 4

For area under the curve to be 80% the z value is 0.85

Thus x-10=0.85*4 or x= 13.4

Per Chegg guidelines I have answered he first question

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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