A random sample of 150 students has a grade point average wi

A random sample of 150 students has a grade point average with a standard deviation of 0.78. Find the margin of error if cequals=0.98.

Solution

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)=25.5
Standard deviation( sd )=0.78
Sample Size(n)=150
Margin of Error = Z a/2 * 0.78/ Sqrt ( 150)
= 2.33 * (0.064)
= 0.148