Question

1. Fruit juice is often marketed as being a healthier alternative to soda. And although juice does contain vitamins, juice can also be surprisingly high in sugar. To compare the sugar content (in grams) between soda and 100% fruit juice, an investigation was made of 34 representative popular U.S. brands of juice, and 45 representative popular U.S. brands of soda pop. The summary stats are given below. Based on the data below, is there enough evidence to suggest that the average sugar content of all the fruit juices sold is any different than the average sugar content of all sodas sold?

	n	mean	standard deviation
100% Juice	35	30.38	7.12
Soda	45	28.69	3.53

2. Numerous studies have shown that handicapped children benefit greatly when placed in preschool classes with normal developing children, but the effect upon the nonhandicapped children in these classes has received less attention. To investigate this phenomenon, a study was conducted to compare the performances of two groups of nonhandicapped children, those in mainstream preschools (designed primarily for nonhandicapped children) and those in integrated special education preschools (designed primarily for handicapped children). The Stanford-Binet Intelligence Scale, a test of child skill development, was administered to 16 children in each group. The results are summarized in the following table. Is there sufficient evidence to indicate that the mean Stanford-Binet score is higher for the nonhandicapped children in the mainstream school? Assume that the children were randomly selected, the samples are independent and that the populations of Stanford-Binet scores for the two groups are approximately normal.

	n	mean	standard deviation
Integrated preschool	16	122.69	10.50
Mainstream preschool	16	124.85	10.50

Answer 1