Sampling Distribution Identify

Taxi fares in New York City are normally distributed with a mean fare of $22.50 and a standard deviation of $2.20. A tourism agency surveys 25 of its clients who have recently traveled to New York City to determine whether or not this information is accurate. The standard deviation of the sampling distribution for average taxi fare where the sample size is 25 is _____.

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

• It becomes narrower (closer to the population's true mean) and bimodal.

• It becomes narrower (closer to the population's true mean) and more normal.

• It becomes wider (further from the population's true mean)and skewed right.

• It becomes wider (further to the population's true mean)and more normal.

The mean distance an OHS student travels to school is 5.6 miles with a standard deviation of 1.7 miles. Mrs. McLemore finds the mean of her 4th period class - a randomly selected sample of 39 students. What is the probability that the mean of her class is more than 6 miles?

• 0.002

• 0.070

• 0.898

• 1.27

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.  What is the probability that a randomly selected group of 35 high school students get more than 6 hours of sleep each night?

• .430

• .148

• .281

• .087

What is the sampling distribution of sample mean?

• It is the distribution of the median

• It is the distribution of the sample size

• It is the distribution of the entire population

• It is the probability distribution of the sample mean for all possible samples of a certain size from a population.

Imagine Lily, Harper, and Evelyn are having a debate. They are discussing how the sampling distribution of sample proportion is different from the sampling distribution of sample mean. Can you help them settle the debate?

• Lily argues that the sampling distribution of sample proportion is based on the proportion of successes in a sample, while the sampling distribution of sample mean is based on the average of the sample values.

• Harper thinks that the sampling distribution of sample proportion is based on the average of the sample values, while the sampling distribution of sample mean is based on the proportion of successes in a sample.

• Evelyn believes that the sampling distribution of sample proportion has a normal distribution, while the sampling distribution of sample mean has a skewed distribution.

• Or is it that the sampling distribution of sample proportion is not affected by sample size, while the sampling distribution of sample mean is heavily influenced by sample size?

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

• It becomes narrower and bimodal.

• It becomes narrower and more normal.

• It becomes wider and skewed right. 

• It becomes wider and more normal. 

When the mean of a sampling distribution is the same as that of the population, we say that

• it is an unbiased estimator of the population

• it is an unbiased estimator of the statistic

• it is a low variability estimator of the population

• it is a biased estimator of the population

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

• The Population

• The Sample

• The Sampling Distribution