A random sample of 50 musicians was taken from a population of 400 to determine

Question

A random sample of 50 musicians was taken from a population of 400 to determine how many use ear protections. Twenty of the sampled musicians used ear protection. Estimate the total number of musicians who use ear protection. Find an approximate standard error for this estimate. Of the 20 musicians who used ear protection, 12 are guitarists. Estimate the proportion of musicians who use ear protection who are guitarists. Give a standard error for this estimate. Estimate the total number of musicians who use ear protection who are guitarists. Give a standard error for this estimate.

Explanation / Answer

3) here p=20/50=0.4

a) hence estimated mean =np=400*0.4=160

b) std deviation =(np(1-p))1/2 =9.798

c)estimated proportion p=12/50=0.24

std error =(p(1-p)/n)1/2 =0.06

d)total number estimation =np=400*0.24=96

abd std error=(np(!-p))1/2 =8.54

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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