Question: comment on this passage Sample Size: Increase sample size: Decreases the width of the confidence interval. Decrease sample size: Increases the width of the confidence
comment on this passage Sample Size: Increase sample size: Decreases the width of the confidence interval. Decrease sample size: Increases the width of the confidence interval. Why: A larger sample size provides more information about the population, leading to a more precise estimate of the population parameter. With more data, you have a better sense of the true population value, so the interval can be narrower. Standard Deviation: Increase standard deviation: Increases the width of the confidence interval. Decrease standard deviation: Decreases the width of the confidence interval. Why: The standard deviation measures the variability or spread of the data. A higher standard deviation indicates greater variability, meaning the sample mean is more likely to be further from the true population mean. To account for this uncertainty, the confidence interval needs to be wider. Confidence Level: Increase confidence level: Increases the width of the confidence interval. Decrease confidence level: Decreases the width of the confidence interval. Why: The confidence level represents the probability that the confidence interval contains the true population parameter. To be more confident that the interval captures the true value, you need to make the interval wider. A wider interval provides a larger "net" to catch the
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