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You have constructed a 95% confidence interval to estimate the mean number of people downloading music files from the internet using a sample of 150 people.Which of the following statements is/are true?
I.A 95% Confidence interval will be wider than a 99% confidence interval.
II.Sampling a smaller number of people will increase the margin of error.
III.Changing the sample size will change the value of t*.
A) I,II,III
B) I,II
C) I
D) II
E) II,III
Confidence Interval
A range of values, derived from sample statistics, that is believed to contain the true value of an unknown population parameter with a specified level of confidence.
Margin Of Error
A statistic expressing the amount of random sampling error in a survey's results, indicating the expected range in which the true value lies.
Sample Size
The number of observations or individuals in a subset of a population selected for analysis or experimentation.
- Understand the relationship between sample size and margin of error in confidence intervals.
- Comprehend the effect of sample size changes on statistical test outcomes.
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Learning Objectives
- Understand the relationship between sample size and margin of error in confidence intervals.
- Comprehend the effect of sample size changes on statistical test outcomes.
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