The manufacturer of a shaving cream learned through a survey that the customers prefers a lot of foam. In his statistical study, 10 sample shaving cream tubes are selected at random and the foam volume measured as follows (in mm3): 210, 195, 211, 201, 198, 204, 208, 215, 194, and 196.

(a) create a probability plot for these data. Is there evidence to support the assumption that foam volume is normally distributed?

(b) Find a 95% CI on the mean foam volume.

(c) Find a 95% prediction interval on the next shaving cream tube that will be tested.

(d) Find 95% tolerance interval on shaving foam volumes with 99% confidence