(a) Is it plausible that the paving slab weights are normally distributed with a mean of 1.1 kg and a standard deviation of 0.05 kg? How about with a mean of 1.0 kg and a standard deviation of 0.05 kg?
(b) Consider the null hypothesis that the median paving slab weight is 1.1kg. What statistic is used by the sign test procedure to test this null hypothesis ? What is the p-value?
(c) Test the null hypothesis in part (d) using the signed rank test and the t -test. Compare your answers.
(d) Use the sign test, the signed rank test, and the /-test to obtain 9591 confidence intervals for the median (or mean) paving slab weight. What assumptions are