1) The number of undergraduates at Small University is approximately 2300, while the number at Large University is approximately 50600. At both schools, a simple random sample of about 4% of the undergraduates is taken. If they both have the same sample proportions, what can we conclude about the sampling variability? Choose the right answer

a) The sample from Small University has more sampling variability of the sample statistic of the sample than that from Large University.

b) It is impossible to make any statements about the sampling variability of the sample statistic of the two samples because the students surveyed were different.

c) The sample from Small University has almost the same sampling variability of the sample statistic as that from Large University.

d) The sample from Small University has less sampling variability of the sample statistic than that from Large University.

e) It is impossible to make any statements about the sampling variability of the sample statistic of the two samples because the sample sizes were different.

2) Andy is a restaurant owner. He believes 83% of his customers are satisfied with the food quality of his restaurant. From a random sample of 97 customers, what are the following probabilities? (Round your answers to four decimal places, if needed.) (a) What is the probability that less than 81 customers are satisfied with the food quality? (b) What is the probability that at least 81 customers are satisfied with the food quality? (c) What is the probability that the sample proportion of customers who are satisfied with the food quality is between 80% and 88%?