shape sampling distribution sample means increases quizlet Sampling distribution calculator P-hat

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

Example: Mean NFL Salary

The built-in dataset "NFL Contracts (2015 in millions)" was used to construct the two sampling distributions below. In the first, a sample size of 10 was used. In the second, a sample size of 100 was used.

Sample size of 10:

200Show Data TableGenerate 100 Samples Choose samples of size n =samples = 5000mean = 2.195std. error = 0.936Generate 10 SamplesGenerate 1 SampleLeft TailTw o - TailRight TailNFL Contr acts (2015 in millions)Sampling Dotplot of MeanEdit DataUpload File Change ColuReset Plot10150 100500122.1953456789Generate 100 0 Samples

Sample size of 100:

120Show Data TableGenerate 100 SamplesChoose samples of size n =samples = 5000mean = 2.236std. error = 0.296Generate 10 SamplesGenerate 1 SampleLeft TailTwo - TailRight TailNFL Contracts (2015 in millions)Sampling Dotplot of MeanEdit D ataUpload FileChange ColuReset Plot1001008060402001.501.752.002.252.502.753.003.25Generate 1000 Samples2.236

With a sample size of 10, the standard error of the mean was 0.936. With a sample size of 100 the standard error of the mean was 0.296. When the sample size increased the standard error decreased.

Also know that the population was strongly skewed to the right. With the smaller sample size, the sampling distribution was also skewed to the right, though not as strongly skewed as the population. With the larger sample size, the sampling distribution was approximately normal.

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

In other words, as the sample size increases, the variability of sampling distribution decreases. Also, as the sample size increases the shape of the sampling distribution becomes more similar to a normal distribution regardless of the shape of the population.

What happens to the shape of a sampling distribution as your sample size increases quizlet?

8. As the sample size increases, the standard deviation gets smaller. 9. As the sample size increases, the shape of the standard normal distribution gets wider and flatter.

What happens to the shape of the distribution of sample means?

The Shape of the Sample Mean Distribution is Normal! The sample mean distribution is a heap shaped, as in the shape of the normal distribution, and centered on the population mean. If the sample size is 30 or more, then the sample means are NORMALLY distributed even when the underlying data is NOT normally distributed!

Is the sample size n increases what happens to the standard error of the mean?

As the sample size becomes larger, the standard error will become smaller, indicating that the estimated sample mean value better approximates the population mean.

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