Video TranscriptSo in this question we have to answer that, how many different samples of size three can be selected from? The population of the following sizes. So in the first part the total population is four. So we have to select three from the total number of end that is four. So we will write 433. It will be equal to four factorial divided by three factorial. Multiply by 4 -3. 1 victorious. So according to this my answer will be four. In the second part we have and is equal to eight so the R is equal to three. So we have to find eight C three. It will be equal to eight factorial divided by three factorial. Multiply by eight minus three. That is five factorial. So if we will solve this Then we will get 8 C3 is equal to eight C three is equal to 56. So this is the answer of the second part where n is equal to eight and the third part N is equal to 22. So again we have to find 20 c three. It will be equal to 20 factorial divided by three factorial multiply 17 factorial because 20 minus three Is equal to 17 factorial. In the 4th part We have a is equal to 50 and we have to calculate for R is equal to three. So again I will write 50 C3 and we will calculate this as 50 factorial divided by three factorial. Multiply by 50 minus three factorial. So when we will calculate this we will find that the 50 c three. It is equal to 19,600, so this is the answer of the 4th part. Show 1. How many different sample size n=3 can be selected froma population with the following sizes?a.) N=4b.) N=856c.) N=201,140d.) N=5019,6004 2. A population consists of the five numbers 2,3,6,8, and 11.Consider samples of size 2 that can be drawn from thispopulation.a.) List all the possible samples and the correspondingmean. Get answer to your question and much more b.) Construct the sampling distribution of the samplemeans. Get answer to your question and much more
Terms in this set (94)d. 495 From a group of 12 students, we want to select a random saample of 4 students to serve on a university committee. How many different random samples of 4 students can be selected?a. 48 b. numerical characteristics of a population Parameters are c. 35 How many simple random samples of size 3 can be selected from a population of size 7?? a. probability distribution of the sample mean Sampling distribution of is the a. 1.20 A simple random sample of 100 observations was taken from a large population. The sample mean andthe
standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is a. 0.6826 A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within +- 2 of the population mean? d. sampling distribution of p- The probability distribution of all possible values of the sample proportion is the c. n/N > 0.05 In computing the standard error of the mean, the finite population correction factor is used when c. nonprobabilistic sampling Convenience sampling is an example of d. judgment sampling Which of the following is an example of nonprobabilistic sampling? c. the population is first divided into strata, and then random samples are drawn from each stratum Stratified random sampling is a method
of selecting a sample in which d. 0.002 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 b. the smaller the sampling error The closer the sample mean is to the population mean, d. can be smaller, larger, or equal to the population mean Since the sample size is always smaller than the size of the population, the sample mean c. standard error of the mean decreases 15. As the sample size increases, the a. each element is selected independently and from the same population A simple random sample from an infinite population is a sample selected such
that b. 56 A population consists of 8 items. The number of different simple random samples of size 3 that can be selected from this population is b. data from the sample is used to estimate the population parameter In point estimation b. σ The sample statistic s is the point estimator of d.p- a.μ The sample mean is the point estimator of c. a random variable If we consider the simple random sampling process as an experiment, the sample
mean is b. sampling distribution of the mean The probability distribution of the sample mean is called the d. None of these alternatives is correct. The expected value of the random variable x- is b. standard error of the mean The standard deviation of all possible values is called the b. 75 A population has a mean of 75 and a standard deviation of 8. A random sample of 800 is selected. The expected value of x- is c. normal distribution As the sample size becomes larger, the sampling distribution of
the sample mean approaches a c. any sample size Whenever the population has a normal probability distribution, the sampling distribution of x- is a normal probability distribution for b. difference between the value of the sample mean and the value of the population mean The sampling error is the d. can be any value The standard deviation of a sample of 100 elements taken from a very large population is determined to be 60. The variance of the population d. less than 2 From a population of 200 elements, a sample of 49 elements is selected. It is determined that
the sample mean is 56 and the sample standard deviation is 14. The standard error of the mean is b. the sampling distribution of x- The probability distribution of all possible values of the sample mean is x- d. convenience sampling Which of the following sampling methods does not lead to probability samples? c. s Which of the following is(are) point
estimator(s)? d. a sampling distribution A probability distribution for all possible values of a sample statistic is known as b. a parameter A population characteristic, such
as a population mean, is called b. 0.8664 A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken. The probability that the sample mean will be between 297 to 303 is a. a statistic A sample statistic, such as a sample mean, is known as b. standard error The standard deviation of a point estimator is called the d. a point estimate A single numerical value used as an estimate of a population parameter is known as a. a point estimator The sample statistic, such as x- , s, or p- , that provides the point estimate of the population parameter is known as central limit theorem 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 b. population based upon information contained in the sample The purpose of statistical inference is to provide information about the d. 15 A simple random sample of 64 observations was taken from a large population. The sample mean and the standard deviation were determined to be 320 and 120 respectively. The standard error of the mean is b. 10 The number of random samples (without replacement) of size 3 that can be drawn from a
population ofsize 5 is d. 200 and 2 Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standarderror of the mean are d. 0.0228 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 sample mean will be larger than 82 is a. 0.1359 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 sample mean
will be between 183 and 186 is d. 0.0200 Random samples of size 525 are taken from an infinite population whose population proportion is 0.3. The standard deviation of the sample proportions (i.e., the standard error of the proportion) is c. 0.0668 A sample of 400 observations will be taken from an infinite population. The population proportion equals 0.8. The probability that the sample proportion will be greater than 0.83 is d. 1.4847 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 a. the same probability of being selected A simple random sample of size n from an infinite population of size N is to be selected. Each possiblesample should have d. 0.0400 A random sample of 150 people was taken from a very large population. Ninety of the people in the sample were female. The standard error of the proportion is d. always normal for large sample sizes For a population with any distribution, the form of the
sampling distribution of the sample mean is d. point estimate A simple random sample of 28 observations was taken from a large population. The sample mean equaled 50. Fifty is a b. 15 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) which are possible equals b. 18 A simple random sample of 5 observations from a
population containing 400 elements was taken, and the following values were obtained. d. 180 and 1.74 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 themean are d. 20 and 2.5 Random samples of size 36 are taken from 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 mean are d. normal if the population is normally distributed A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of x- is c. normal because of the central limit theorem A sample of 92 observations is taken from an infinite population. The sampling distribution of x- is approximately c. 0.9511 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 b. .0495 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 a. 0.2 and .04 Random samples of size 100 are taken from an infinite population whose population proportion is 0.2. The mean and standard deviation of the sample proportion are c. 0.5 and 0.047 A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviationof the sample proportion for samples of size 100 are c. approximately normal if np >_ 5 and n(1-P) >_ 5 A sample of 25 observations is taken
from an infinite population. The sampling distribution of p- is d. 0.9222 A sample of 66 observations will be taken from an infinite population. The population proportion equals 0.12. The
probability that the sample proportion will be less than 0.1768 is c. 0.0819 A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is b. a sample A subset of a population selected to represent the population is b. whenever the sample size is more than 5% of the population size A finite population correction factor is needed in computing the standard deviation of the sampling distribution of sample means b. reduce the standard error of the mean to approximately 70% of its current value Doubling the size of the sample will a. central limit theorem The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on the b. decreases As the sample size increases, the variability among the sample means
b. n(1 - p) >_ 5 and n >_ 30 As a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution whenever c. 36 and 1.86 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 mean and the standard deviation of the sampling distribution of the sample means are d. None of these alternatives is correct. Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. Which of the
following best describes the form of the sampling distribution of the sample mean for this situation? a. is the probability distribution showing all possible values of the sample mean The
sampling distribution of the sample means c. a probability sampling method Cluster sampling is d. a population The set of all elements of interest in a study is d. 56 The number of different simple random samples of size 5 that can be selected from a population of size8
is b. is 14 The following data was collected from a simple random sample of a population. 13 15 14 16 12 The point estimate of the population mean b. 1.581 The following data was collected from a simple random sample of a population. 13 15 14 16 12 The point estimate of the population standard deviation is b. 210 The following data was collected from a simple random sample of a population. 13 15 14 16 12 If the population consisted of 10 elements, how many different random samples of size 6 could be drawn from the
population? d. could be any value The following data was collected from a simple random sample of a population. 13 15 14 16 12 The mean of the population c. 0.75 Four hundred people were asked whether gun
laws should be more stringent. Three hundred said "yes," and 100 said "no" The point estimate of the proportion in the population who will respond "yes" is b. 0.25 Four hundred people were asked whether gun laws should be more stringent. Three hundred said "yes" and 100 said "no" The point estimate of the proportion in the population who will respond "no"
is a. 18.0 The following information was collected from a simple random sample of a population. c. 1.414 The following information wass collected from a simple random sample of a population 16 19 18 17 20 18 The point estimate of the population standard deviation is d. 120 How many different samples of size 3 can be taken from a finite population of size 10? c. 0.0200 Exhibit 7-1A 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.89. Refer to Exhibit 7-1. The standard error of the mean equals b. 4 Refer to Exhibit 7-1. The point estimate of the mean content of the bottles
is a. a parameter Refer to Exhibit 7-1. In this problem the 0.22 is d. 75 Exhibit 7-2A random sample of 10 examination papers
in a course, which was given on a paass or fail basis, showed the following scores. 92. The point estimate for the mean of the population is 93. The point estimate for the standard deviation of the population is 94. The point estimate for the
variance of the population is 95. The point estimate for the proportion of all students who passed the course is c. 0.05477 In a local university, 40% off the students live in the dormitories. A random sample of 80 students is selected for a particular study. 96. The standard deviation of p-
, known as the standard error of the proportion is approximately 97. The probability that the sample proportion (the proportion living in the dormitories) is between 0.30 and 0.50 is 98. The probability that the sample proportion (the proportion living in the dormitories) is at least 0.30 is
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How many different samples of size 8 can be selected from a population with a size of 12
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