Asked by Jazmin Jamil on Sep 29, 2024
If two random samples of sizes n1 and n2 are selected independently from two non-normally distributed populations,then the sampling distribution of the sample mean difference, ,is
A) always non-normal
B) always normal
C) approximately normal only if n1 and n2 are both larger than or equal to 30
D) approximately normal regardless of n1 and n2
Sampling Distribution
The design of probabilities for a chosen statistic, rooted in the examination of a random sample.
Non-normally Distributed
Refers to a distribution that does not follow a normal curve, with data points that might skew or exhibit kurtosis.
Random Samples
An element of a statistical population where each constituent part has the same chance of selection.
- Recognize the situations where there is a normal distribution of the sampling difference of the mean between two groups.
- Understand the effects of population distributions on the sampling distribution of the sample mean.
Learning Objectives
- Recognize the situations where there is a normal distribution of the sampling difference of the mean between two groups.
- Understand the effects of population distributions on the sampling distribution of the sample mean.
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