- A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means whenever the sample size is more than 5% of the population size
- A numerical measure from a population, such as a population mean, is called _____ a parameter
- A numerical measure from a sample, such as a sample mean, is known as a statistic
- A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first selection, the probability of an element being selected is _____. .002
- 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 _____. 56
- A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is _____. 0.1359
- A population has a mean of 53 and a standard deviation of 21. A sample of 49 observations will be taken. The probability that the sample mean will be greater than 57.95 is _____. .0495
- A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the mean from that sample will be larger than 82 is _____. .0228
- A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80.54 and 88.9 is _____. .9511
- A population of size 1,000 has a proportion of .5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are _____. .5 and .047
- A probability distribution for all possible values of a sample statistic is known as a _____. sampling distribution
- A probability sampling method in which we randomly select one of the first k elements and then select every kth element thereafter is ____ systematic sampling
- A random sample of 150 people was taken from a very large population. Ninety of the people in the sample were females. The standard error of the proportion of females is _____. .0400
- A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of x bar (x with line over it) is _____. normal if the population is normally distributed
- A sample of 25 observations is taken from a process (an infinite population). The sampling distribution of is _____. approximately normal if np ≥ 5 and n(1 – p) ≥ 5
- A sample of 400 observations will be taken from a process (an infinite population). The population proportion equals .8. The probability that the sample proportion will be greater than 0.83 is _____. .0668
- A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals .85. The probability that the sample proportion will be between .9115 and .946 is _____. .0819
- A sample of 66 observations will be taken from a process (an infinite population). The population proportion equals .12. The probability that the sample proportion will be less than .1768 is _____. .9222
- A sample of 92 observations is taken from a process (an infinite population). The sampling distribution of is approximately normal because _____. of the central limit theorem
- A sample statistic, such as x bar (mean: x with line over) , that estimates the value of the corresponding population parameter is known as a _____. point estimator
- A simple random sample from a process (an infinite population) is a sample selected such that _____. each element selected comes from the same population and each element is selected independently
- A simple random sample of 28 observations was taken from a large population. The sample mean equaled 50. Fifty is a ____ point estimate
- A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained.
12 18 19 20 21
A point estimate of the population mean is _____. 18 - A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sample mean was determined to be 320. The standard error of the mean is _____. 15
- A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size __ n has the same probability of being selected
- A simple random sample of size n from a finite population of size N is to be selected. Each possible sample should have _____. the same probability of being selected
- A single numerical value used as an estimate of a population parameter is known as a_____. point estimate
- A subset of a population selected to represent the population is a _____. Sample
- 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 _____. central limit theorem
- All of the following are true about the standard error of the mean EXCEPT _____. it is larger than the standard deviation of the population
- As a general rule, the sampling distribution of the sample proportions can be approximated by a normal probability distribution whenever _____. np ≥ 5 and n(1 − p) ≥ 5
- As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____. normal probability distribution
- As the sample size increases, the _____. standard error of the mean decreases
- As the sample size increases, the variability among the sample means _____ decreases
- Cluster sampling is ____ a probability sampling method
- Convenience sampling is an example of _____. a nonprobability sampling technique
- Doubling the size of the sample will _____. reduce the standard error of the mean to approximately 70% of its current value
- Exhibit 7-2
Four hundred registered voters were randomly selected and asked whether gun laws should be changed. Three hundred said “yes,” and 100 said “no.”
64. Refer to Exhibit 7-2. The point estimate of the proportion in the population who will respond “yes” is _____. .75 - Exhibit 7-2
Four hundred registered voters were randomly selected and asked whether gun laws should be changed. Three hundred said “yes,” and 100 said “no.”
65. Refer to Exhibit 7-2. The point estimate of the proportion in the population who will respond “no” is _____. .25 - Exhibit 7-4
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces.
68. Refer to Exhibit 7-4. The standard error of the mean equals _____. .0200 - Exhibit 7-4
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces.
69. Refer to Exhibit 7-4. The point estimate of the mean content of all bottles is _____. 4 - Exhibit 7-4
A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces.
70. Refer to Exhibit 7-4. In this problem, the .22 is _____. a parameter - 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.
71. Refer to Exhibit 7-5. The mean and the standard deviation of the sampling distribution of the sample means are 36 and 1.86 - For a population with an unknown distribution, the form of the sampling distribution of the sample mean is _____. approximately normal for large sample sizes
- From a population of 200 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is determined that the sample mean is 56. The standard error of the mean is _____. less than 2
- From a population of 500 elements, a sample of 225 elements is selected. It is known that the variance of the population is 900. The standard error of the mean is approximately _____. 1.4847
- How many different samples of size 3 (without replacement) can be taken from a finite population of size 10? 120
- If we consider the simple random sampling process as an experiment, the sample mean is _____. a random variable
- In computing the standard error of the mean, the finite population correction factor is NOT used when ___ n/N ≤ 0.05
- In point estimation, data from the _____. sample are used to estimate the population parameter
- It is impossible to construct a frame for a(n) _____. infinite population
- Random samples of size 100 are taken from a process (an infinite population) whose population proportion is .2. The mean and standard deviation of the distribution of sample proportions are _____. .2 and .04
- Random samples of size 36 are taken from a process (an infinite population) whose mean and standard deviation are 20 and 15, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample mean are _____. 20 and 2.5
- Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196. The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are _____. 180 and 1.74
- Random samples of size 525 are taken from a process (an infinite population) whose population proportion is .3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is _____. .0200
- Random samples of size 81 are taken from a process (an infinite population) whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are _ 200 and 2
- Stratified random sampling is a method of selecting a sample in which _____. the population is first divided into groups, and then random samples are drawn from each group
- The basis for using a normal probability distribution to approximate the sampling distribution of and is _____. the central limit theorem
- The difference between the value of the sample statistic and the value of the corresponding population parameter is called the _____. sampling error
- The expected value of equals the mean of the population from which the sample is drawn _____. for any sample size
- The expected value of the random variable x bar (mean: x with line over it) is μ
- The fact that the sampling distribution of the sample mean can be approximated by a normal probability distribution whenever the sample size is large is based on the _____. central limit theorem
- The finite correction factor should be used in the computation of when n/N is greater than _____. .05
- The number of random samples (without replacement) of size 3 that can be drawn from a population of size 5 is 10
- The population being studied is usually considered ______ if it involves an ongoing process that makes listing or counting every element in the population impossible. Infinite
- The population we want to make inferences about is the _____. target population
- The probability distribution of all possible values of the sample mean is called the ____. sampling distribution of the sample mean
- The probability distribution of all possible values of the sample proportion p bar: (p with line over it) is the _____. sampling distribution of p bar: (p with line over it)
- The purpose of statistical inference is to provide information about the _____. population based upon information contained in the sample
- The sample mean is the point estimator of μ
- The sample statistic s is the point estimator of σ
- The sampling distribution of the sample mean _____. is the probability distribution showing all possible values of the sample mean
- The set of all elements of interest in a study is a population
- The standard deviation of a point estimator is the standard error
- The standard deviation of all possible x bar (mean: x with line over it) values is called the _____. standard error of the mean
- The standard deviation of is referred to as the standard error of the mean
- The standard deviation of is referred to as the standard error of the proportion
- The standard error of the proportion will become larger as _____ p approaches .5
- The value of the ___________ is used to estimate the value of the population parameter. sample statistic
- There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 (without replacement) that are possible equals _____. 15
- When the population has a normal distribution, the sampling distribution of x bar: (x with line over it) is normally distributed _____. for any sample size
- Whenever the population has a normal probability distribution, the sampling distribution of is a normal probability distribution for _ any sample size
- Which of the following is a point estimator? S
- Which of the following is an example of a nonprobability sampling technique? judgment sampling
- Which of the following sampling methods does NOT lead to probability samples? convenience sampling
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