An inventor for the Rust-Fight Paint Company wants to test if his paint is more resistant to rust than the current type of paint they manufacture. He will test 10 cans of the old paint and 10 cans of the new paint.
a. If he selects the 10 old cans from an inventory of 9,000 cans, how many digits will need to number each can?
b. If they start at line 2 of the random number table on page 534 of this section, what are the numbers of the first three cans that will be selected?
c. Draw a diagram for a completely randomized design that describes the experiment.
d. The life of the paint gloss of the old paint is normally distributed with mean 36 months and standard deviation 2.5 months. The average life of the gloss for the new cans was 50 months with a standard deviation of 1.6 months. Do you think the new paint is superior? Support your claim with data evidence.
e. If the new paint from part d had an average life of 36.1 months, would you believe the new paint is superior? Explain.