Sampling Distribution Practice Quiz

A study of 10,000 males who smoke at least two packs of cigarettes daily shows that the mean life span is 65.3 years while the std. dev. is 3.4 years.

Find the standard deviation for a random sample of 40 males.

• 3.4

• 0.54

• 1.5

• 0.88

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the mean of the sampling distribution?

• 200
• 16
• 25
• 4

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

The mean and standard deviation of a population are 200 and 20, respectively. Sample size is 25. 
What is the standard deviation of the sampling distribution?

• 200
• 16
• 25
• 4

The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting one data value less than 190?

• 69%
• 42%
• 31%
• 58%

Tags

CCSS.HSS.ID.A.4

The mean and standard deviation of a population are 200 and 20, respectively. 
What is the probability of selecting 25 data values with a mean less than 190?

• 69%
• 0.6%
• 31%
• 99%

Tags

CCSS.HSS.IC.A.1

CCSS.HSS.ID.A.4

A z-score tells you...

• the standard deviation of a sampling distribution.
• the original raw score on which it is based.
• if the distribution it comes from is normal.
• how many standard deviations away from the mean a score lies.

What is the standard deviation of the distribution?

• 1010
• 20
• 60
• √20

Increasing the sample size of an opinion poll will reduce the

• bias of the estimates made from the data collected in the poll.
• variability of the estimates made from the data collected in the poll.
• variability of opinions in the sample.
• variability of opinions in the population.

Find the area under the standard normal curve to the right of z = -2.67.

• 0.0869
• 0.9962
• 0.0008
• 0.1234

Find the area under the standard normal curve to the right of z = 3.15. 

• 0.0869
• 0.9962
• 0.0008
• 0.1234