In: Statistics and Probability
A sample of 75 concrete blocks had a mean mass of 38.3 kg with a standard deviation of 0.6 kg.
a. Find a 95% confidence interval for the mean mass of this type of concrete block. (Round the final answers to three decimal places.)
The 95% confidence interval is ( , ).
b. Find a 99% confidence interval for the mean mass of this type of concrete block. (Round the final answers to three decimal places.)
The 99% confidence interval is ( , ).
a) Statistics software output:
Hence, 95% interval is: (38.162, 38.438)
b) Statistics software output:
Hence, 99% interval is: (38.117, 38.483)
I hope these will help. Thank you.
Options One sample T summary confidence interval: u : Mean of population 95% confidence interval results: Mean Sample Mean Std. Err. DF L. Limit U. Limit 38.3 0.069282032 74 38.161953 38.438047
One sample T summary confidence interval: u: Mean of population 99% confidence interval results: Mean Sample Mean Std. Err. DF L. Limit U. Limit 38.3 0.069282032 74 38.116824 38.483176