Questions and Answers
What is the effect of substituting the sample standard deviation, S, when the population standard deviation σ is unknown?
It introduces extra uncertainty
What happens when the population standard deviation σ is unknown?
We use the t distribution
Why do we use the t distribution instead of the normal distribution when the population standard deviation σ is unknown?
Because the population standard deviation is unknown
What is the reason for not using the normal distribution when the population standard deviation σ is unknown?
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What is the implication of using the sample standard deviation, S, when the population standard deviation σ is unknown?
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What is the primary purpose of a confidence interval in hypothesis testing?
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What is the effect of increasing the confidence level on the width of the confidence interval?
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What does a 95% confidence interval for a population mean of 10.2 to 12.5 imply?
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What is the relationship between the margin of error and the width of the confidence interval?
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What happens to the margin of error as the sample size increases?
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What is the effect of increasing the standard deviation of the sample statistic on the margin of error?
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