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%)
Principal = Rs 4000
Amount = Rs 6000
Time = 2 years
Rate = ?
Amount = principal + simple interest
Rs 6000 = Rs 4000 + simple interest
simple interest = Rs 6000 - Rs 4000 = Rs 2000
Simple interest = P*R*T/100
Rs 2000 = Rs 4000* R*2/100
R = 100/4 = 25%
Because 1/2 of 6 =1/3 and 1/2×1/3=1/6
Answer: 
<u>Step-by-step explanation:</u>
Red or Green
≈ 48%
Answer:
x = 6
<u><em>Sorry if this answer is not correct, if it is or is not, please tell me in the comments!</em></u>
Step-by-step explanation:
All of the angles add up to 180 degrees (since it is a triangle), so
(11x - 3) + (7x + 5) + (13x - 8) = 180
Then, combine the like terms.
31x - 6 = 180
Now, out goal is to separate the x from everything. To do that, we need to add 6 to 180.
31x = 186
Then divide by 31.
x = 6
(Feel free to replace x with 6 back in the previous equation to double check it!)
