Sampling Distributions

What happens to the shape of a sampling distribution of sample means as n increases?

• It becomes narrower and bimodal.
• It becomes narrower and more normal.
• It becomes wider and skewed right. 
• It becomes wider and more normal. 

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.6.SP.A.2

At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

•  78% is a population and 72% is a sample.
• 72% is a population and 78% is a sample
• 78% is a parameter and 72% is a statistic
• 72% is a parameter and 78% is a statistic

Tags

CCSS.HSS.IC.B.3

What is the standard deviation of the distribution?

• 1010
• 20
• 60
• √20

A distribution showing the sample means of all sample of size n of a population is called

• Normal Distribution
• Binomial Distribution
• Sampling Distribution
• Uniform Distribution

Tags

CCSS.6.SP.A.3

The mean of the sampling distribution is the same as the mean of the population.

• True

• False

The standard deviation of a sampling distribution is the same as the standard deviation as the population.

• True

• False

The distribution at the top is the population distribution. The two distributions at the bottom are sampling distributions. Which of the two sampling distributions was produced from larger sample sizes?