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what happens to the width of two-sided confidence interval as each of these attributes changes? - the confidence level increases - the sample size increases a. increases b. decreases

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The width of two-sided confidence interval decreases as the sample size increases and increases as the confidence level increases.

Confidence interval : In Statistic, confidence interval is a range of estimates for unknown parameters.

The formula for the interval can be expressed as:

Confidence Interval (CI ) = X bar +_ Z( S/√n)

Where,

X bar ---> the sample mean

S ---> the sample standard deviation

n --> the sample size Z---> Z-value which comes from normal distribution

From the formula we can conclude the below points about confidence interval :

  • The increases in confidence level leds to increase the width of the confidence interval also. A larger confidence level means the interval is larger.
  • the width of confidence interval varies inversely to sample size i.e increase in sample size implies decrese in width of confidence interval. .
  • Confidence interval increases with increase of sample standard deviations

So, Confidence interval varies with sample mean, confidence level and standard deviations.

To learn more about Confidence Interval, refer:

https://brainly.com/question/26658887

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