A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is
A. 0.037773 to 0.202227
B. 3.7773% to 20.2227%
C. 59.98786% to 61.01214%
D. 51.7773% to 68.2227%
E. 10.988% to 13.012%
Answer: E. 10.988% to 13.012%
Step-by-step explanation:
Given;
Mean x= 12%
Standard deviation r = 4%
Number of samples tested n = 60
Confidence interval is 95%
Z' = t(0.025)= 1.96
Confidence interval = x +/- Z'(r/√n)
= 12% +/- 1.96(4%/√60)
= 12% +/- 0.01214%
Confidence interval= (10.988% to 13.012%)
The value of the digit is 90
Answer:
210 by 120
Step-by-step explanation:
perimeter=2l+2w
length= 2w-30
width= w
2(2w-30+w) = 660
6w-60= 660
6w= 720
w=120
length= 2*120-30 = 210
Answer:
Rational
Step-by-step explanation:
This can be reduced to a ratio of 1/2. Numbers that can be expressed as ratios are rational.
