Asked by Vanessa Pressat on Jul 14, 2024
Verified
What is the relationship between the size of a sample and the width of the confidence interval for the mean?
A) The smaller the sample size, the narrower the confidence interval for the mean.
B) The larger the sample size, the narrower the confidence interval for the mean.
C) The larger the sample size, the wider the confidence interval for the mean.
D) The size of the sample has no influence on the width of the confidence interval for the mean.
Sample Size
The number of observations or replicates included in a statistical sample, crucial for the reliability of study results.
- Perceive the relationship that exists between the size of a sample, the standard error, and how wide confidence intervals are.
- Leverage mastery of confidence intervals to analyze the impact of sample size on the precision of estimating means.
Verified Answer
SG
sanele gabuzaJul 19, 2024
Final Answer :
B
Explanation :
The larger the sample size, the narrower the confidence interval for the mean. This is because a larger sample size provides more information about the population, reduces the variability of the sample mean, and results in a more accurate estimation of the population mean, leading to a narrower confidence interval.
Learning Objectives
- Perceive the relationship that exists between the size of a sample, the standard error, and how wide confidence intervals are.
- Leverage mastery of confidence intervals to analyze the impact of sample size on the precision of estimating means.
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