Four foods were tested to determine if cholestrol contents is the same for each food.

Random sample data (grams of cholestrol per 1000 grams of food) are given in the table

below.

Food 1 Food 2 Food 3 Food 4

45.5 45.8 43.7 42.0

44.5 45.1 44.0 45.4

44.4 46.0 44.8 42.0

45.0 44.2 45.0 44.1

42.5 43.6 42.0 43.3

45.3 43.0 43.1

43.9 42.6

44.7

Perform the Kruskal-Wallis test at the 5% level to determine if mean cholestrol contents for the foods are equal.

JOhn electrical makes transistors. The company quality personnel have a standard of 3% defective. From time to time, they inspect a random sample of 200 transistors to

determine whether the percentage of defective transistors being produced is greater than 3%. If the proportion of defective transistors is significantly greater than 3%, the

production manager will be fired.

i) Perform a hypothesis test at the 1% level if the sample contains 9 defectives.

ii) Given the results, what is the fate of the production manager?