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:
Step-by-step explanation:
The room is rectangular in shape. The formula for determining the area of a rectangle is expressed as
Area = length × width
The rectangular hotel room is 3 meters by 5 meters. The area of the room would be
Area = 3 × 5 = 15 square meters
The owner of the hotel wants to re carpet the room with carpet that cost $15.00 per square meter. This means that the cost to re carpet the room would be
15 × 15 = $225
Answer: 7,895,164 rounded to the nearest 1,000 is 7,895,000
