SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define a random a bias sample
Sampling bias occurs when some members of a population are systematically more likely to be selected in a sample than others. A random sample is a sample that is chosen randomly. It could be more accurately called a randomly chosen sample. Random samples are used to avoid bias and other unwanted effects.
STEP 2: Answer Question A
Survey Method 2 is a random sample since the names are chosen without looking
STEP 3: Answer Question B
Survey Method 3 is a bias sample because only the students who are in soccer and football teams are surveyed leaving out other students doing other sports.
STEP 4: Answer Question C
Another survey method the manager could use that will create a random sample is surveying 50 students to find out their favorite teachers in the school.
STEP 5: Answer Question D
The larger the sample, the more likely it will be representative of the population. Although, beyond a certain point, the results won't change much, so 80 is probably enough. put them in numerical order from least to greatest.
80 sample size is enough to represent the population.