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If the sampled population is exactly normally distributed, then the sampling distribution of is also expected to be normal, regardless of the sample size.

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True False

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Answer:

True

Explanation: Since the sampled population is normally distributed, the sample size plays no role.

As the sample size increases, the standard deviation of the sampling distribution increases.

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True False

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False

Explanation: Increasing a sample size will cause the standard deviation of the sampling distribution to decrease (because we are dividing the population standard deviation by n).

The sampling distribution of the sample mean is developed by repeatedly taking samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.

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True False

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True

Explanation: This distribution of the population of all possible sample means looks, at least roughly, like a normal curve.

The Central Limit Theorem states that as sample size increases, the population distribution more closely approximates a normal distribution.

True False

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A sample statistic is an unbiased point estimate of a population parameter if the mean of the populations of all possible values of the sample statistic equals the population parameter.

True False

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The reason sample variance has a divisor of n − 1 rather than n is that it makes the variance an unbiased estimate of the population variance.

True False

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If a population is known to be normally distributed, then the single sample mean must equal the population mean.

True False

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For any sampled population, the population of all sample means is approximately normally distributed.

True False

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A minimum-variance unbiased point estimate has a variance that is as small as or smaller than the variances of any other unbiased point estimate.

True False

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If the sampled population distribution is skewed then, in most cases, the sampling distribution of the mean can be approximated by the normal distribution if the sample size, n, is at least 30.

True False

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If a population is known to be normally distributed, then the sample standard deviation must equal σ.

True False

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The mean of the sampling distribution of is always equal to the mean of the sampled population.

True False

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The standard deviation of all possible sample proportions increases as the sample size increases.

True False

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If p = .8 and n = 50, then we can conclude that the sampling distribution of is approximately a normal distribution.

True False

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If p = .9 and n = 40, then we can conclude that the sampling distribution of is approximately a normal distribution.

True False

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If we have a sample size of 100 and the estimate of the population proportion is .10, we can estimate the sampling distribution of with a normal distribution.

True False

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The sampling distribution of must be a normal distribution with mean = 0 and standard deviation = 1.

True False

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A sample size of 500 is sufficiently large to conclude that the sampling distribution of is a normal distribution, when the estimate of the population proportion is .995.

True False

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The sampling distribution of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.

True False

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