Using a random sample of 4,000 students, you decided to compute a 95% confidence interval to estimate the mean calories consumed by the students. A colleague decided to compute another 95% confidence interval using a different sample, this time with only 1,000 students. What change would you expect from the first confidence interval to the second. A The margin of error will be four times as wide. B The confidence interval will be narrower. The margin of error will decrease. The margin of error will be twice as wide.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section: Chapter Questions
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Using a random sample of 4,000 students, you decided to compute a 95% confidence interval to
estimate the mean calories consumed by the students. A colleague decided to compute another 95%
confidence interval using a different sample, this time with only 1,000 students. What change would
you expect from the first confidence interval to the second.
A The margin of error will be four times as wide.
B
The confidence interval will be narrower.
The margin of error will decrease.
The margin of error will be twice as wide.
Transcribed Image Text:Using a random sample of 4,000 students, you decided to compute a 95% confidence interval to estimate the mean calories consumed by the students. A colleague decided to compute another 95% confidence interval using a different sample, this time with only 1,000 students. What change would you expect from the first confidence interval to the second. A The margin of error will be four times as wide. B The confidence interval will be narrower. The margin of error will decrease. The margin of error will be twice as wide.
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