Question

Q8 Researcher A recruited a random sample of 100 pandas. Researcher B also recruited a random sample of 100 hippos. Suppose the health scores for the panda population has a mean of 100 and a standard deviation of 20. The health scores for the hippo population has a mean of 100 and a standard deviation of 50. Which researcher is more likely to get a sample mean of 80 or lower? A. Researcher A B. Researcher B

Q9 A sample of 100 people was taken from a population with a mean of 50 and a standard deviation of 20. What is the typical amount that the sample mean deviates from the population mean? A. 1 B. 1.5 C. 2 D. 2.5

Answer 1

Q8:

Correct option:

Researcher B

Explanation:

For Researcher A:

n = 100

= 100

= 20

SE = /

= 20/

= 2

To find P(80):

Z = (80 - 100)/2

= - 10.00

For Researcher B:

n = 100

= 100

= 50

SE = /

= 50/

= 5

To find P(80):

Z = (80 - 100)/5

= - 4.00

Since Z value of Researcher B = - 4.00 is greater than Z value of Researcher A = - 10.00, we conclude that Researcher B is more likely to get a sample mean of 80 or lower

Q9:

Correct option:

C.   2

Explanation:
SE = /

= 20/

= 2

So,

the typical amount that the sample mean deviates from the population mean = 2