True or false on sampling distribution

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The sampling distribution of x is always taller and skinnier than the population. What is true.

True

The sampling distribution of x tells us the possible values for x together with how often each occurs.

True

The shape of the histogram of data in a sample gets closer and closer to the shape of the population as sample size increases.

True

The shape of the sampling distribution of x gets closer and closer to Normal as the sample size increases when the population is non-normal.

True

The shape of the sampling distribution of x is always Normal when the population shape is Normal.

True

The standard deviation of the sampling distribution of x gets smaller and smaller as n increases.

True

We measure the variability of the sampling distribution of x with sigma / (square root)n .

True

x is the value of the mean of the sampling distribution of x .

What is False—the mean of the sampling distribution of x equals miu

The mean of the sampling distribution of x gets closer and closer to as the sample size increases.

What is false—The mean of the sampling distribution of x exactly equals miu

The sampling distribution of x tells us all possible values we could get in our sample of size n.

What is false—The sampling distribution of x tells us possible values we could get for the sample mean. That's because the sampling distribution gives all possible values for x together with their frequencies (or probabilities).

The shape of the sampling distribution of x gets closer and closer to the shape of the population as sample size increases.

What is false—The shape of the sampling distribution of x gets closer and closer to Normal.

The shape of the sampling distribution of x gets closer and closer to Normal as the sample size increases when the population is normal.

What is false—The shape of the sampling distribution of x is Normal regardless of sample size if the population is Normal.

The standard deviation of the population is less than the standard deviation of the sampling distribution of x .

What is false—The standard deviation of the population is greater than the standard deviation of the sampling distribution of x .

The standard deviation of the sampling distribution of x gets closer and closer to *sigma( as n increases.

What is false—The standard deviation of the sampling distribution of x equals sigma /(squared root)n .

The standard deviation of the sampling distribution of x gets closer and closer to sigma / (square root) n as n increases.

What is false—The standard deviation of the sampling distribution of x is equal to n regardless of sample size.


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