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# Confidence Intervals and Hypothesis Testing resources

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### 04. Tests and Quizzes (4)

Business Statistics 4 - Numbas
5 questions. 1. 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. 2. 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. 3. Provided with information on a sample with sample mean and standard deviation, but no information on the population variance, use the t test to either accept or reject a given null hypothesis. 4. Provided with information on a sample with sample mean and known population variance, use the z test to either accept or reject a given null hypothesis. 5. Given two sets of data, sample mean and sample standard deviation, on performance on the same task, make a decision as to whether or not the mean times differ. Population variance not given, so the t test has to be used in conjunction with the pooled sample standard deviation. Link to use of t tables and p-values in Show steps. Numbas resources have been made available under a Creative Commons licence by the School of Mathematics & Statistics at Newcastle University.
Business statistics 4 - Numbas
5 questions on confidence intervals and hypothesis testing. Population variance given, z-test. Not given, t-test. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christain Perfect, School of Mathematics & Statistics at Newcastle University.
Hypothesis testing with the Student t-distribution - Numbas
Three questions on using the Student $t$ distribution to perform hypothesis tests.
Parametric hypothesis testing for psychology - Numbas
Three questions on parametric hypothesis testing and confidence intervals, aimed at psychology students. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christain Perfect, School of Mathematics & Statistics at Newcastle University.

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