Homework SourseA simple random sample of 11 observations is derived from a
| A simple random sample of 11 observations is derived from a normally distributed population with a known standard deviation of 2.2. Use Table 1. |
Solution
a)
Yes
b)
Margin of Error = Z a/2 * (sd/ Sqrt(n))
Where,
x = Mean
sd = Standard Deviation
a = 1 - (Confidence Level/100)
Za/2 = Z-table value
Mean(x)=8.36
Standard deviation( sd )=2.2
Sample Size(n)=11
Margin of Error = Z a/2 * 2.2/ Sqrt ( 11)
= 2.17 * (0.663)
= 1.439
c)
Margin of Error = Z a/2 * 2.2/ Sqrt ( 11)
= 2.58 * (0.663)
= 1.711
d)
The margin of error with 99% confidence.
