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 answer is 13. Or the third choice, just took the test.
87% of 73 is about 63.51 and 73% of 87 is 60.59 so 87% of 73 is greater
A. n+q=45n+25q=20. That should be the correct answer
Answer:
C; Substitution property
Step-by-step explanation:
Here, we want to find the justification that justifies the written equation;
If PQ + RS = PS
and RS = XY
then PQ + XY = PS
What we simply did is to substitute RS for XY in the second equation;
The correct answer is Substitution property
It can be fully referred to as the substitution property of equality.
What it simply means in a nut shell is that since XY and RS are equal, then in any addition or arithmetic equation, we can make a substitution of XY for RS since they are equal to each other