Question

A group of nutritionists is hoping to show that a new soybean compound has more protein per gram than roast beef, which has a mean protein content of 20 grams. A random sample of 5 batches of a large supply of soy compound have been tested, producing protein contents of 15, 22, 17, 18, and 23 grams. Which of the following conditions have been met?

I. The data is a random sample from the population of interest.
II. The sample size is less than 10% of the population size.
III. The sample size is large.
a. I only.
b. I and II.
c. I, II and III.
d. II only.
e. III only.

Answer 1

The data is a random sample from the population of interest and The sample size is less than 10% of the population size. ( b )

Explanation:

roasted beef protein = 20 grams ( mean value )

sample size of soybean compound = 5

mean value of their protein = ( 15 + 22 + 17 + 18 + 23) / 5 = 19

The conditions that have been met are :

The data is a random sample from the population of interest. and

we can say the sample size is less than 10% of population size because we do know the population size is a large supply