Question

2. A research takes a simple random sample of 400 students out of 10,000 students at a university. On the average, there are .48 cats per sample student, and the SD is .15. Say where each of the following statement is true or false, explain. a. The .48 is .15 or so off the average number of cats per student in the university. b. A 95% confidence interval for the average number of cats per student in the sample is .18 to .78 c. A 95% confidence interval for the average number of cats per student in the university is .465 to .495. d. 95% of students in the university have between .18 and .78 cats. e. The 95% confidence level is about right because the number of cats follows the normal curve. f. The 95% confidence level is about right because, with 400 draws from the box, the probability histogram for the average number of cats in the sample follows the normal curve.

Answer 1

Answer:

a. The .48 is .15 or so off the average number of cats per student in the university.

False

** 95% Confidence Interval: 0.48 ± 0.0147
(0.465 to 0.495)

b. A 95% confidence interval for the average number of cats per student in the sample is .18 to .78

False

c. A 95% confidence interval for the average number of cats per student in the university is .465 to .495.

True

d. 95% of students in the university have between .18 and .78 cats.

False

e. The 95% confidence level is about right because the number of cats follows the normal curve.

True

Since the sample size of 400 is large, it follows normal curve

f. The 95% confidence level is about right because, with 400 draws from the box, the probability histogram for the average number of cats in the sample follows the normal curve

True