Question

In: Statistics and Probability

The mean and standard deviation of a random sample of n measurements are equal to 33.6...

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 ( ___ , ___ )

Solutions

Expert Solution

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)

orchestra answered 1 year ago

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