In: Statistics and Probability
The mean and standard deviation of a random sample of n measurements are equal to 33.6 and 3.5, respectively.
A) The 99% confidence interval for π if n = 49 is approximately ( ___ , ___ )
B) The 99% confidence interval π if n = 196 is approximately ( ___ , ___ )
The values provided in the above question are as below
= mean = 33.6
= standard drviation = 3.5
A) The 99% confidence interval for π if n = 49
Here = 0.01 then /2 = 0.005
Using normal probability table
Using all values in above formula
The 99% confidence interval for π if n = 49
The 99% confidence interval for π if n = 49 is approximately ( 32.31 , 34.89)
B) The 99% confidence interval for π if n = 196
Here = 0.01 then /2 = 0.005
Using normal probability table
Using all values in above formula
The 99% confidence interval for π if n = 196
The 99% confidence interval for π if n = 196 is approximately ( 32.955, 34.245)
Summary : -
A) The 99% confidence interval for π if n = 49 is approximately ( 32.31 , 34.89)
B) The 99% confidence interval for π if n = 196 is approximately ( 32.955, 34.245)