We have the following data: sample mean ¯x= 42.6, sample deviation s= 2, number of samples n= 33 and the null hypothesis is μ0= 42.
(a) Compute the t-statistic.
(b) At the 95% confidence level, do we reject or accept the null hypothesis?
(c) What is the probability that the sample mean is at least this far away from the population mean, given the null hypothesis holds?
(d) At the 95% confidence level, what range of means would be consistent with this data?
(e) At the 99% confidence level, what range of means would be consistent with this data?
(f) At the 90% confidence level, what range of means would be consistent with this data?