Confidence Interval introduction

What happens to the Confidence Interval as the confidence level increases?

• The Confidence Interval becomes narrower.

• The Confidence Interval remains the same.

• The Confidence Interval becomes wider.

• The Confidence Interval fluctuates randomly.

Given a mean SAT score of 534 and a margin of error of 20, what is the Confidence Interval?

• (514, 554)

• (500, 568)

• (520, 550)

• (530, 540)

If a 95% Confidence Interval for a mean is (114.56, 125.54), can we conclude that the true mean is greater than 130?

• Yes, because 130 is within the interval.

• No, because 130 is outside the interval.

• Yes, because the interval suggests a higher mean.

• No, because the interval does not provide enough information.

What is a Critical Value in the context of Confidence Intervals?

• A Critical Value is a factor used to compute the margin of error, which corresponds to the desired confidence level.

• A Critical Value is the maximum value in a data set that is considered significant.

• A Critical Value is a statistical term that refers to the average of a sample.

• A Critical Value is a threshold that determines the validity of a hypothesis test.

How do you calculate Margin of Error?

• Margin of Error = Critical Value × Standard Error.

• Margin of Error = Sample Size ÷ Population Size.

• Margin of Error = Standard Deviation ÷ Sample Size.

• Margin of Error = Confidence Level × Standard Deviation.

What does it mean if a Confidence Interval does not include zero?

• It suggests that there is a statistically significant difference from zero at the given confidence level.

• It indicates that the sample size is too small.

• It means that the data is normally distributed.

• It shows that the results are inconclusive.

What is the formula for a Confidence Interval for a population mean?

• Point Estimate ± Margin of Error

• Mean ± Standard Deviation

• Median ± Interquartile Range

• Mode ± Variance

What is the relationship between sample size and Confidence Interval width?

• As the sample size increases, the width of the Confidence Interval decreases.

• As the sample size increases, the width of the Confidence Interval increases.

• The sample size has no effect on the width of the Confidence Interval.

• The width of the Confidence Interval is constant regardless of sample size.

What is Standard Error?

• The average of a set of data points.

• The standard deviation of the sampling distribution of a statistic, commonly the mean.

• The difference between the maximum and minimum values in a dataset.

• A measure of how much a sample statistic varies from the population parameter.

What is the significance of the term 'point estimate'?

• A point estimate is a single value estimate of a population parameter, such as the sample mean.

• A point estimate is a range of values that likely contains the population parameter.

• A point estimate is a method used to calculate the variance of a sample.

• A point estimate is a statistical test used to determine the significance of results.