Refer to Exercise 38.
An article in the British scientific journal Nature ("Sucrose Induction of Hepatic Hyperplasia in the Rat," August 25, 1972: 461) reports on an experiment in which each of five 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 ___________________x̅i.
Starch ...................................2.58
Sucrose .................................2.63
Fructose .................................2.13
Glucose ..................................2.41
Maltose .................................2.49
Assuming also that ((x2ij = 183.4, does the data indicate that true average DNA content is affected by the type of carbohydrate in the diet? Construct an ANOVA table and use a .05 level of significance?
What is β for the test when true average DNA content is identical for three of the diets and falls below this common value by 1 standard deviation (s) for the other two diets?