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Find the expectation and variance of three estimators of the mean
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Using a random sample from a population with given mean and variance, find the expectation and variance of three estimators of $\mu$. Unbiased, efficient?
LSD and Tukey yardsticks, and two-way ANOVA
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

LSD and Tukey yardsticks on five treatments. Also two-way Anova test on same set of data.
Perform a t-test to decide if two sample means differ, ,
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

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.