No caculation 'concept test' on confidence intervals.  A single multiple choice question interpreting a CI.

True/false question type to assess basic knowledge of confidence intervals.

These questions are designed to help you verify that you can successfully apply the techniques related to maximum-likelihood estimation we have learned in class, e.g., numerical and analytical derivation of estimators, construction of large-sample confidence intervals, and likelihood-ratio tests.

This question assesses the learner's ability of calculating confidence intervals for numerical data and conducting a one-sample t-test.

Randomized input values: sample summary statistics and confidence level.

Adapted from question 7.12 in OpenIntro Statistics (4th ed).

This question assesses the learner's ability to compute a confidence interval for a difference of two means, given two samples.

Randomized variables: sample raw data and confidence level. 

Adapted from section 7.3.1 in OpenIntro Statistics (4th ed).

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Finding the confidence interval at either 90%, 95% or 99% for the population variance of a sample. $\chi^2$ tables are used. A single scenario is given.

Assessment of basic knowledge of confidence intervals; no randomisation.

Financial Mathematics  

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Calculate confidence interval for the proportion

Calculate confidence interval for the mean, sample variance n>30

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

Calculate confidence interval for the mean, sample variance adaptive marking

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean and standard deviation of a sample. The population variance is not given and so the t test has to be used. Various scenarios are included.

Finding the confidence interval at either 90%, 95% or 99% for the mean given the mean of a sample. The population variance is given and so the z values are used. Various scenarios are included.

Compute a 95% confidence interval for the population mean given a small sample, and compare it with a confidence interval for a different population.

Calculate 95% CI given, mean, sd and sample size.

This question assesses learners' ability to:

- construct a confidence interval for a proportion given corresponding summarised data;

- predict the sample size required to limit the margin of error to a given value.

5 questions on  confidence intervals and hypothesis testing. Population variance given, z-test. Not given, t-test.

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Multiple response question (3 correct out of 6). Selection of questions from a pool. Real data from a YouGov survey.