Asked by Gerson Hernandez on Jul 15, 2024
Verified
The ______ of the sampling distribution of the difference is equal to ______.
A) mean; σ
B) standard deviation; 
C) mean; 1
D) standard deviation; 0
Standard Deviation
Square root of the variance that represents the average deviation of a score from the mean.
Sampling Distribution
The probability distribution of a given statistic based on a random sample, used to estimate properties of an underlying population.
Mean
The arithmetic average of a set of scores.
- Acquire an understanding of how to measure and interpret variability and standard error in the context of sampling distributions.
- Calculate and understand the standard error of the difference between two means.
Verified Answer
KN
Khuyen NguyenJul 21, 2024
Final Answer :
B
Explanation :
The standard deviation of the sampling distribution of the difference is equal to √(σ₁²/n₁ + σ₂²/n₂), where σ₁ and σ₂ are the population standard deviations and n₁ and n₂ are the sample sizes. Therefore, option B is correct as it states that the standard deviation is a non-zero value. The other options are incorrect as they do not provide the correct relation between the mean/standard deviation and the sampling distribution of the difference.
Learning Objectives
- Acquire an understanding of how to measure and interpret variability and standard error in the context of sampling distributions.
- Calculate and understand the standard error of the difference between two means.
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