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:
The total number of students in a survey is 300.
Let the number of junior male(JM) be x and the number of senior males(SM) be y.
Let the number of junior female(JF) be p and the number of senior males(SF) be q.
It is given that there are 160 males, 80 junior females, 130 seniors.
Since number of males are 160. So the number of females are,

Since number of junior females is 80.

Since number of seniors are 130.

Since number of males is 160.

Therefore, the table and venn diagram is shown below.
Answer:
Width: x + 3
(Length, width):
(5,4) (6,5) (7,6)
Step-by-step explanation:
x² + 7x + 12
x² + 4x + 3x + 12
x(x + 4) + 3(x + 4)
(x + 4)(x + 3)
Longer one is the length,
With is (x + 3)
x = 1,
5 × 4
x = 2,
6 × 5
x = 3,
7 × 6
Answer:
76
Step-by-step explanation:
1.) 8 x 8 =64
2.) 12 + 64 =76
Answer:
There was 62.23% change in radius as the ion formed.
Step-by-step explanation: