What are the mean, standard deviation and shape of the sample?

What are the mean, standard error and shape of the sampling distribution of the sample mean?

Is it possible for the shapes of these three distributions to be different? Describe a brief scenario where this may happen.

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Note: this is a descrption of scenario only. You need to use the software to get excel values of mean and standard deviaiton. I do not have any software now.

Scebario: step 1: suppose we flip a coin 1000 times. Let head=1 and tail=0. So now we record the number of heads and tails. The population includes 1000 values with either 0 or 1. Then we calculate the mean, standard deviation of the population with 1000 data using software. The shape of the population ...

Solution Summary

The solution gives deep discussion on population distribution, sample distribution and sampling distribution of the sample mean. Central limit theorem plays an important role in our analysis.

... normal For fairly symmetric distributions, n > 15 For normal population distributions, the sampling distribution of the mean is always normally distributed. ...

...sampling without replacement from finite populations will: a ...distributions, n > 15 For normal population distributions, the sampling distribution of the ...

... The central limit theorem states that when random samples are taken from a population the sampling distribution of the sample means approaches the normal ...

Sampling distribution: Sample Means; Bike shop mean repair cost exceeding $16. 1. All possible sample of size of 150 was collected from a population and listed ...

... normal distribution; (2) how to use Excel to select a simple random sample; (3) how to use Excel built-in functions and procedures to estimate population mean ...

... Generally, distributions of salary and income are positively ... than others, thus skewing the distribution in the ... if we select a large sample, the distribution of ...

... of size 100 drawn from this population of males. ... Probability, Random Variables, and Sampling Distributions. ... 2. find the probability distribution for a discrete ...

Sampling distribution of sample mean. ... Suppose you hired a consulting firm to take a sample of fifty ... Assume the population standard deviation for 2003 was $1900. ...

... Generally, distributions of salary and income are positively ... than others, thus skewing the distribution in the ... if we select a large sample, the distribution of ...