61. An article in the British scienti c journal Nature

( Sucrose Induction of Hepatic Hyperplasia in the Rat, August 25, 1972: 461) reports on an experiment in which each of v e groups consisting of six rats was put on a diet with a different carbohydrate.

At the conclusion of the experiment, the DNA content of the liver of each rat was determined (mg/g liver), with the following results:

Carbohydrate Starch 2.58 Sucrose 2.63 Fructose 2.13 Glucose 2.41 Maltose 2.49

a. Assuming also that , is the true average DNA content affected by the type of carbohydrate in the diet? Construct an ANOVA table and use a .05 level of signi cance.

b. Construct a t CI for the contrast which measures the difference between the average DNA content for the starch diet and the combined average for the four other diets. Does the resulting interval include zero?

c. What is b for the test when true average DNA content is identical for three of the diets and falls u  m1  1m2  m3  m4  m5 2 /4

x2 ij  183.4 xi#

below this common value by 1 standard deviation

(s) for the other two diets?