Podcast
Questions and Answers
What is the effect of substituting the sample standard deviation, S, when the population standard deviation σ is unknown?
What is the effect of substituting the sample standard deviation, S, when the population standard deviation σ is unknown?
- It reduces uncertainty
- It has no effect
- It only affects the sample mean
- It introduces extra uncertainty (correct)
What happens when the population standard deviation σ is unknown?
What happens when the population standard deviation σ is unknown?
- We use the t distribution (correct)
- We use the sample mean
- We calculate the population mean
- We use the normal distribution
Why do we use the t distribution instead of the normal distribution when the population standard deviation σ is unknown?
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 (correct)
- Because the normal distribution is not suitable for large samples
- Because the t distribution is more accurate
- Because the sample size is small
What is the reason for not using the normal distribution when the population standard deviation σ is unknown?
What is the reason for not using the normal distribution when the population standard deviation σ is unknown?
What is the implication of using the sample standard deviation, S, when the population standard deviation σ is unknown?
What is the implication of using the sample standard deviation, S, when the population standard deviation σ is unknown?
What is the primary purpose of a confidence interval in hypothesis testing?
What is the primary purpose of a confidence interval in hypothesis testing?
What is the effect of increasing the confidence level on the width of the confidence interval?
What is the effect of increasing the confidence level on the width of the confidence interval?
What does a 95% confidence interval for a population mean of 10.2 to 12.5 imply?
What does a 95% confidence interval for a population mean of 10.2 to 12.5 imply?
What is the relationship between the margin of error and the width of the confidence interval?
What is the relationship between the margin of error and the width of the confidence interval?
What happens to the margin of error as the sample size increases?
What happens to the margin of error as the sample size increases?
What is the effect of increasing the standard deviation of the sample statistic on the margin of error?
What is the effect of increasing the standard deviation of the sample statistic on the margin of error?
