Understanding Sampling Distributions Quiz

A sample of 50 students has an average test score of 78. What is the sample mean?

• 50

• 78

• 100

• 25

Tags

CCSS.6.SP.B.5C

In a survey, 40 out of 100 people said they prefer online classes. What is the sample proportion of people who prefer online classes?

• 0.4

• 0.6

• 0.5

• 0.3

Tags

CCSS.HSS.IC.B.4

According to the Central Limit Theorem, what happens to the shape of the sampling distribution of the sample mean as the sample size increases?

• It becomes more skewed

• It becomes more uniform

• It becomes more normal

• It becomes more bimodal

If the population standard deviation is 10 and the sample size is 25, what is the standard error of the sample mean?

• 2

• 0.4

• 10

• 5

A sample of 30 students has a mean height of 160 cm. What is the sample mean height?

• 150 cm

• 160 cm

• 170 cm

• 180 cm

Tags

CCSS.6.SP.B.5C

In a poll, 25% of respondents said they exercise daily. What is the sample proportion of respondents who exercise daily?

• 0.75

• 0.25

• 0.5

• 0.1

Tags

CCSS.HSS.IC.B.4

What does the Central Limit Theorem state about the distribution of sample means?

• It is always skewed left

• It is always skewed right

• It approaches a normal distribution as sample size increases

• It remains constant regardless of sample size

If the sample size is 100 and the population standard deviation is 20, what is the standard error of the sample mean?

• 2

• 20

• 200

• 4

According to the Central Limit Theorem, what is the expected shape of the distribution of sample means for a large sample size?

• Uniform

• Normal

• Skewed

• Bimodal

If the population standard deviation is 15 and the sample size is 36, what is the standard error of the sample mean?

• 2.5

• 3

• 4

• 5