Means
Which component needs to be added and subtracted from the sample mean to create a confidence interval?
Sample median.
Margin of error.
Population mean.
Sample proportion.
A researcher wants to construct a 99% confidence interval for a population mean. Which of the following z-scores should be used?
2.33
1.96
2.58
2.81
Which of the following is NOT required when constructing a confidence interval for a population mean?
Confidence level
Sample mean
Sample size
Population standard deviation
What is one potential consequence of incorrectly using the normal distribution to construct a confidence interval for a population mean when the sample size is small and the standard deviation is unknown?
Increased probability of non-significant results, decreasing the effect size
A narrowed confidence interval, leading to a higher chance of Type I error
Increased likelihood of correctly rejecting the null hypothesis despite violations of assumptions
The widened confidence interval, increasing the risk of falsely stating precision
If an outlier is present in your dataset while calculating a confidence interval for a mean, which method would most likely maintain the validity of your interval estimate?
Substitute outlier values with mean values to minimize their effect on interval computation.
Increase your confidence level to account for extra variability introduced by outliers.
Apply robust statistical techniques like trimming or Winsorizing before computing the interval.
Compute the interval as usual and then adjust its width subjectively based on outlier magnitude.
To calculate a 95% confidence interval for the mean score on a math test, which of the following is necessary to determine the margin of error?
The standard deviation of the sample scores and the size of the sample.
The minimum and maximum possible scores on the test regardless of sample size.
The range of the sample scores and the size of the population.
The variance of the population scores and the size of the population.
What piece of information do you need to calculate the standard error of the mean when creating a confidence interval?
The hypothesized value of group average
Sample standard deviation or estimated standard deviation
Required margin error size
The value of alpha (ฮฑ)

How are we doing?
Give us your feedback and let us know how we can improve
If the standard deviation of a population is unknown, which distribution should be used to construct a confidence interval for the population mean?
Binomial distribution
t-distribution
Chi-squared distribution
Normal distribution
Why does increasing the sample size generally lead to a narrower confidence interval for a population mean?
It decreases the standard error of the mean.
It lowers the confidence level of the interval.
It increases the variability of data.
It changes the shape of the sampling distribution.
What type of sampling involves dividing the population into groups and then taking a proportionate number from each group?
Stratified random sampling
Simple random sampling
Cluster sampling
Convenience sampling