Asked by Celeste Tidwell on Jul 08, 2024
Verified
The amount of bleach a machine pours into bottles has a mean of 50 ounces with a standard deviation of 0.25 ounces.We take a random sample of 36 bottles filled by this machine.The sampling distribution of the sample mean has a mean of 50 ounces.
Sampling Distribution
The probability distribution of a given statistic based on a random sample, underlying the principle of estimation in inferential statistics.
Mean
The arithmetic average of a set of numeric values, calculated by adding all the values together and dividing by the number of values.
- Comprehend the link between population parameters and features of sampling distributions.
Verified Answer
DG
David GreenfieldJul 09, 2024
Final Answer :
True
Explanation :
According to the central limit theorem, the sampling distribution of the sample mean will have a mean equal to the population mean, which in this case is 50 ounces. Therefore, the statement is true.
Learning Objectives
- Comprehend the link between population parameters and features of sampling distributions.