(a) What type of t test should be used to compare the two methods and why?
(b) Do the two methods give different results?
(c) Does the conclusion depend on whether the 90%, 95% or 99% confidence levels are used?
The mean is given by
The standard deviation is given by
a) We will be using an independent two-sample t-test as we are comparing two different populations.
b) The null and alternative hypotheses are
The test statistic is given by
p - value
Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is no significant difference between the two methods.