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:
$936
Step-by-step explanation:
Simple interest is money you can earn by initially investing some money (a.k.a the principal). In return, a percentage (a.k.a the interest) of the initial money invested is added to the principal, this is what makes your initial investment grow.
The equation for simple interest is:
I = P x r x t
P = Principal, $2600
r = interest rate, 12%
t = time involved, 3 years
Fill in the values:
2600 × 0.12 × 3 = $936.00
Answer:
A. 2(16+12)
Step-by-step explanation:
1. 2x16=32
2. 2x12=24
3. 32+24=56
Answer:
19°
Step-by-step explanation:
Set up the equation (triangles add up to 180 degrees)(Right angles are 90 degrees).
39 + 90 + 2x + 13 = 180
142 + 2x = 180
2x = 38
x = 19
Answer:
99 24/25
Step-by-step explanation:
8.33*√144=
8.33*12=99 24/25 or 100 with 8.33 bar