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%)
Answer:
C=30
Step-by-step explanation:
Supposing that we have the lines
x+2=10y
and
3x+6=Yc.
Note that dividing by 3 the second line can be rewritten as
x + 2= Y c/3.
Remember that a line is written as , in our case, both lines have and . Therefore, in orther that the two lines are equal, we need that , hence
<em>25</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>6×7 - 3²×9 + 4³ =</em>
<em> 1. raise the numbers to power</em>
<em>= 6×7 - 9×9 + 64</em>
<em> 2. we perform the multiplications</em>
<em>= 42 - 81 + 64</em>
<em> 3. we perform addition and subtraction</em>
<em>= (42 + 64) - 81</em>
<em>= 106 - 81</em>
<em>= 25</em>
<em>Good luck !</em>
First replace y with 15.
1/5x-10=30
Then just solve from there.
x=200
Answer:
<h2>90</h2>
Step-by-step explanation: