Determine whether the following statements are true or false. Increasing the sample size while keeping the confidence level the same will result in a bigger confidence interval. False True

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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Determine whether the following statements are true or false.

Increasing the sample size while keeping the confidence level the same will result in a bigger confidence interval.

  • False
  • True
Expert Solution
Step 1

If the sample size increases, then the standard error of statistic decreases. The margin of error is product of critical value and standard error of the statistic. Hence, the margin of error decreases as the sample size increases. Moreover, the confidence interval becomes narrower with the increase in sample size.

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