Asked by Maryisabel Salinas on Jul 29, 2024
Verified
The mean of the sampling distribution of the difference is equal to ______.
A) the population mean (μ)
B) 0
C) 1
D) the standard error of the difference
Sampling Distribution
The probability distribution of a given statistic based on a random sample, used to make inferences about the population.
Mean
The arithmetic average of a set of numbers, calculated by dividing the sum of the values by the count of the values.
Population Mean
The average value of all elements in an entire population, representing a summary measure of the central tendency of the population.
- Understand the principle and importance of the sampling distribution of the difference between two sample means.
Verified Answer
LP
Laxmi PrasannaAug 02, 2024
Final Answer :
B
Explanation :
The mean of the sampling distribution of the difference is equal to 0 because the expected value of the difference between two sample means is 0, assuming the samples are drawn from the same population with the same variance. This is known as the null hypothesis.
Learning Objectives
- Understand the principle and importance of the sampling distribution of the difference between two sample means.