A simple random sample pf 50 adults was surveyed, and it was found that the mean amount of time that they spend surfing the internet per day is 54.2 minutes, with a standard deviation of 14.0 minutes. What is the 99% confidence interval (z-score = 2.58) for the number of minutes that an adult spends surfing the internet per day?
Answer: a. 49.1 minutes to 59.3 minutes.
Explanation:
Given:
sample population=50;
mean=54.2 minutes;
standard deviation=14.0 minutes;
z-score=2.58.
Solution:
Margin of error=z*δ/√n;
2.58*(14/√50)=2.58*14/7.07=2.58*1.98=5.1084 or 5.11;
54.2+5.11=59.31 minutes;
54.2-5.11=49.09 minutes.
Hence, option a is correct.