Statistics Quiz

What is a percentile in statistics?

• A measure of position with data divided into 100 parts.

• A measure of central tendency.

• A measure of dispersion.

• A measure of correlation.

When is the t-distribution used instead of the normal distribution?

• When the data is skewed.

• When you have large samples.

• When the data is normally distributed.

• When you have small samples.

What is the mean of the t-distribution?

• Cannot be determined

• Zero

• One

• Depends on the sample size

What are degrees of freedom in statistics?

• The maximum number of logically independent values in the data sample.

• The number of samples in the dataset.

• The number of values in the dataset.

• The range of values in the data sample.

What is the purpose of a confidence interval in statistics?

• To identify outliers in the data.

• To determine the mean of the population.

• To calculate the standard deviation of the sample.

• To measure the degree of uncertainty or certainty in a sampling method.

What is a Type I error in hypothesis testing?

• Rejecting the truth when the null hypothesis is true.

• Failing to reject a false null hypothesis.

• Accepting the null hypothesis when it is true.

• Accepting the null hypothesis when it is false.

What is the level of significance in hypothesis testing?

• The probability of accepting the null hypothesis.

• A measure of the strength of the evidence needed to reject the null hypothesis.

• The confidence level of the alternative hypothesis.

• The probability of a Type II error.

What is a parameter in statistics?

• Used to describe the entire population being studied.

• A measure of correlation.

• A measure of dispersion.

• A measure of central tendency.

What is the rejection region in hypothesis testing?

• The region where the p-value is determined.

• The region where the confidence interval is calculated.

• The region where the value of the test statistic lies to accept the null hypothesis.

• The region where the value of the test statistic lies to reject the null hypothesis.

What are the steps in formulating null and alternative hypotheses?

• Calculate the mean, median, and mode of the data set.

• Conduct experiments, observe results, and make predictions.

• Identify the parameter of interest, determine the claim to be tested, translate the claim into mathematical symbols, and formulate the null and alternative hypotheses.

• Collect data, analyze the data, draw conclusions, and report findings.