Exam 7: Sampling and Sampling Distributions

The probability distribution of all possible values of the sample mean is called the

How many different samples of size 3 (without replacement) can be taken from a finite population of size 10?

The standard deviation of all possible values is called the

Exhibit 7-1 The following data was collected from a simple random sample from a process (an infinite population). -Refer to Exhibit 7-1. The point estimate of the population mean

A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as the

Exhibit 7-3 The following information was collected from a simple random sample of a population. -Refer to Exhibit 7-3. The point estimate of the population standard deviation is

If we consider the simple random sampling process as an experiment, the sample mean is

A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is

Which of the following sampling methods does not lead to probability samples?

Exhibit 7-5 Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. -A population of 1,000 students spends an average of $10.50 a day on dinner. The standard deviation of the expenditure is $3. A simple random sample of 64 students is taken. a.What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean? b.What is the probability that these 64 students will spend a combined total of more than $715.21? c.What is the probability that these 64 students will spend a combined total between $703.59 and $728.45?

Convenience sampling is an example of

A simple random sample of 28 observations was taken from a large population. The sample mean equaled 50. Fifty is a

A population consists of 8 items. The number of different simple random samples of size 3 (without replacement) that can be selected from this population is

Exhibit 7-2 Four hundred registered voters were randomly selected asked whether gun laws should be changed. Three hundred said "yes," and one hundred said "no." -Refer to Exhibit 7-2. The point estimate of the proportion in the population who will respond "no" is

As the sample size becomes larger, the sampling distribution of the sample mean approaches a

Exhibit 7-2 Four hundred registered voters were randomly selected asked whether gun laws should be changed. Three hundred said "yes," and one hundred said "no." -Refer to Exhibit 7-2. The point estimate of the proportion in the population who will respond "yes" is

Candidate A is running for president of the student government at a large university. The proportion of voters who favor the candidate is 0.8. A simple random sample of 100 voters is taken. a.What are the expected value, standard deviation, and shape of the sampling distribution of? b.What is the probability that the number of voters in the sample who will not favor Candidate A will be between 26 and 30? c.What is the probability that the number of voters in the sample who will not favor Candidate A will be more than 16?

A numerical measure from a sample, such as a sample mean, is known as

Exhibit 7-5 Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. -The average weekly earnings of bus drivers in a city are $950 (that is $\mu$ ) with a standard deviation of $45 (that is $\sigma$ ). Assume that we select a random sample of 81 bus drivers. a.Assume the number of bus drivers in the city is large compared to the sample size. Compute the standard error of the mean. b.What is the probability that the sample mean will be greater than $960? c.If the population of bus drivers consisted of 400 drivers, what would be the standard error of the mean?

Exhibit 7-5 Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. -Refer to Exhibit 7-5. Which of the following best describes the form of the sampling distribution of the sample mean for this situation?