According to the Statistics Canada website (2017, September 6), the average tuition for undergraduate programs for Canadian full-time students was $6,571 in 2017/2018. Use $6,571 as the population mean, and suppose a survey research firm will take a sample of 225 undergraduate students to investigate the nature of their tuition costs. Assume the population standard deviation is $1,500. Which of the following statements is correct?

Select one:

a.

E(x)=6571E(x)=6571, x=100x=100, and the probability that the sample mean will be within $250 of the population mean is 0.9876.

b.

E(x)=6571E(x)=6571, x=100x=100, and the probability that the sample mean will be within $250 of the population mean is 0.3108.

c.

E(x)=6571E(x)=6571, x=1500x=1500, and the probability that the sample mean will be within $250 of the population mean is 0. 9876.

d.

E(x)=6571E(x)=6571, x=1500x=1500, and the probability that the sample mean will be within $250 of the population mean is 0.3108.