What does the sampling distribution consist of?

Values of the standard deviation

What does the Central Limit Theorem state about the sampling distribution of sample means when samples of size n ≥ 30 are drawn from any population?

It approximates a normal distribution

It approximates a uniform distribution

It approximates a binomial distribution

It approximates a Poisson distribution

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

It approaches a normal distribution as sample size increases

It remains the same regardless of sample size

It only applies to normal populations

It requires a sample size of at least 50

Select the correct description

Standard Deviation of the Sampling Distribution of Sample Means

What does the Central Limit Theorem illustrate about the distribution of sample means as the sample size increases?

The distribution becomes normal

The distribution becomes more uniform

The distribution remains the same

The distribution becomes skewed

What effect does INCREASING the sample size have on a sampling distribution?

Increasing the sample size makes the distribution narrower

Increasing the sample size makes the distribution wider

Increasing the sample size increases the area under the sampling distribution curve

Suppose the teenagers that attend public high schools get an average of 5.7 hours of sleep each night with a standard deviation of 1.7 hours. The distribution of sleep time is skewed to the left. What is the shape, mean, and standard deviation of the distribution of sample means from samples of size n = 400?

Approximately Normal, $$\mu_x$$ = 5.7 hours $$\sigma_x$$ = 0.085 hours

Skewed Left, $$$$ = 5.7 hours $$$$ = 0.085 hours

Approximately Normal, $$$$ = 5.7 hours $$$$ = 1.7 hours

Skewed Left, $$$$ = 5.7 hours $$$$ = 1.7 hours

Sampling Distribution For Single Mean

Interactive Video

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Mathematics

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University

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Practice Problem

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Easy

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CCSS

HSS.ID.A.4, HSS.MD.A.3, 6.SP.A.3

+13

Standards-aligned

TAY KIM GAIK TAY KIM GAIK

Used 3+ times

FREE Resource

65 questions

Show all answers

SLIDE QUESTION

30 sec • Ungraded

SLIDE QUESTION

30 sec • Ungraded

SLIDE QUESTION

30 sec • Ungraded

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

These symbols represent the mean and standard deviation for which of the following distributions?

The Population

The Sample

The Sampling Distribution

What is a sampling distribution?

The distribution of a sample statistic

The distribution of a population

The distribution of a sample mean

The distribution of a sample size

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If I wanted to know how many blades of grass are inside the track, which sampling method could I use?

Have my students count every blade of grass

Guess

Divide the grassy area into 1 inch sections, randomly pick several sections to count, average them together and multiply that by the total square inches.

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