1. If the standard deviation of the mean for the sampling distribution of random samples of size 36 from a large or infinite population is 2, how large must the sample size become if the standard deviation is to be reduced to 1.2?
Q: Suppose that you are interested in determining the average height of a person in a large city. You…
A: Solution: Given information: n= 400 Sample size x=63 inches Sample mean s= 6 inches Sample standard…
Q: Suppose the population of IQ scores in the town or city where you live is bell-shaped, with a mean…
A: Solution-: Let, X= the population of IQ scores in the town Given: We find mean and standard…
Q: A population has a mean μ = 77 and a standard deviation σ = 22. Find the mean and standard deviation…
A: Mean()=77standard deviation()=22sample size(n)=264
Q: In Country A, the population mean height for 10-year-old girls is 54.8 inches with a standard…
A: Given: Population Mean μ=54.8 Sample Size n=15 Sample Standard Deviation s=2.8 Sample Mean X¯=53.3
Q: Suppose we draw a simple random sample of 310 observations from a population. The exact shape of the…
A:
Q: If the standard deviation of the mean for the sampling distribution of random samples of size 36…
A:
Q: Find the t-score for a sample of size 18 taken from a population with mean 9 when the sample mean is…
A: It is given that Population mean = 9 Sample mean = 12 Sample standard deviation = 1.5 Sample size =…
Q: For a population with a standard deviation of 40, how large a sample is necessary to have a standard…
A: We want to find the sample size
Q: Suppose heights, in inches, of male orangutans have an unknown distribution with mean 56 and…
A: According to the central limit theorem,
Q: For a population with a mean of 75 and a standard deviation of 12, what proportion of sample means…
A: Given, Mean μ = 75 Standard deviation σ = 12 sample size n = 16
Q: 20. A very large population has a mean of 55 and a standard deviation of 8. One day a sample of 40…
A: Solution: 20. From the given information, µ = 55 and σ = 8.
Q: A sample of size 30 is taken from a normally distributed population that has a standard deviation of…
A:
Q: Assume that 26% of students at a university wear glasses. Suppose 300 students are randomly…
A:
Q: 19. Suppose random samples of size 250 are drawn from a population in which the proportion with a…
A:
Q: For a population with a mean of μ = 55 and a standard deviation of σ = 69, what is the standard…
A: Answer - For a population with a mean of μ = 55 and a standard deviation of σ = 69, what…
Q: Find the mean adn standard deviation of the indicated sampling distribution of sample means. Then…
A: Mean=96.8 , Standard deviation=0.61
Q: If the standard deviation of the mean for the sampling distribution of random samples of size 46…
A:
Q: Suppose speeds of vehicles traveling on a highway have an unknown distribution with mean 63 and…
A: Given that the speeds of vehicles traveling on a highway have an unknown distribution with Mean(µ) =…
Q: The mean age of the employees at a large corporation is 35.2 years, and the standard deviation is…
A: None of the given options are correct.
Q: Suppose samples of size 100 are drawn randomly from a normal population that has a mean of 20 and a…
A: It is given that, a normal population that has a mean of 20 and a standard deviation of 5 i.e.…
Q: it is known that the population standard deviation of weight among females is 30. assuming that we…
A: The standard error of the average weight among women of a sample of this size is obtained below:…
Q: 37. If X is a random variable having the standard normal distribution and Y = X2, show that cov(X,…
A: Solution:-Certainly! Here's the explanation with all equations transformed into plain text for use…
Q: A population has a mean of 82.4, and a standard deviation of 14. Assume that a sampling distribution…
A: Given information Mean µ = 82.4 Standard deviation σ = 14 Sample size (n) = 400
Q: Suppose a claim is made that the mean age of members of a golf club is 52 years. The population…
A: Given: n = 50 X = 56 years σ = 6 μ = 52 Formula Used: Test-statistic Z = X-μσn
Q: A random sample of size 16 is to be taken from a population that is normally distributed with mean…
A: Given datan=16μ=36σ=12
Q: a random sample is selected from a population with a standard deviation of 56. On average, how much…
A:
Q: Suppose Diane and Jack are each attempting to use a simulation to describe the sampling distribution…
A: We have given that Mean(µ) = 70Standard deviations (σ) = 10
Q: An ecologist is studying the impact of local polluted waters on the growth of alligators. The length…
A: Length of adult male alligators follows a normal distribution with µ and standard deviation 2. n…
Q: 1. A population is normally distributed with a mean of -30 (negative 30) and a standard deviation of…
A: 1. The mean is -30, and standard deviation is 4.
Q: . Suppose that at a large university, 40% of the males and 50% of the females voted in the last U.S.…
A: In this problem, we were given two proportions, namely those males and females who voted last US…
Q: random sample of size 36 is taken from a population with mean µ = 17 and standard deviation σ = 6.…
A: According to the given information in this question We need to find the mean and standard deviation…
Q: Suppose we know that the mean score among the population of college students taking the GMAT test is…
A: Here Given Sample size=n=100 Population Mean=1000=μ Population sd=σ=1200 Here SAMPLE SIZE IS…
Q: A normally distributed population has a mean equal to 85 and a standard deviation equals 4.0. If a…
A:
Q: A simple random sample of 36 observations was taken from a large population. The sample mean and the…
A:
Q: it is known that the population standard deviation of weight among females is 30. assuming that we…
A: There is a direct relationship between the margin of error of the interval and the confidence level,…
Q: Suppose a random sample of 4949 measurements is selected from a population with mean 6060 and…
A: We have given thatMean() = 60standard deviation () = 10sample size (n) = 49
Q: A population is known to be normally distributed with standard deviation known to be 6.3. In order…
A: Hypotheses: H0 : μ=19Ha : μ≠19 The z-distribution can be considered as the distribution of the…
Q: Let a population consist of the values 7 cigarettes, 20 cigarettes, and 21 cigarettes smoked in a…
A:
Q: When samples of size 30 are collected from a normal population that has a mean of 200 and a standard…
A:
Q: 4. A normal population has the mean of 20 and the variance of 100. A random sample of size n = 69 is…
A: Population mean(μ) = 20 Population variance( σ 2 ) = 100 Population standard deviation(σ) : =…
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- 65. Suppose that a random sample of size 20 is taken from a normal distribution with unknown mean and known variance equal to 1, and the mean is found to be x = 10, A normal distribution was used as the prior for the mean, and it was found that the posterior mean was 15 and the posterior standard deviation wa:s 0.1. What were the mean and standard deviation of the prior?The mean age of the employees at a large corporation is 35.2 years, and the standard deviation is 9.5 years. A random sample of 4 employees will be selected. What are the mean and standard deviation of the sampling distribution of the sample mean for samples of size 4 ? The mean is 35.2, and the standard deviation is 9.5. A The mean is 35.2, and the standard deviation is 9.549.54. B The mean is 35.2, and the standard deviation is 9.529.52. C The mean is 35.2435.24, and the standard deviation is 9.549.54. D The mean is 35.2235.22, and the standard deviation is 9.529.52. E4. A very large population has a mean of 180 and a standard deviation of 24. One day a sample of 64 observations is taken. On another day a sample of 100 observations is taken. Which of the following is true? The standard error of the mean will be smaller with 64 observations. It is impossible to determine any of the above given the available information. The standard error of the mean will be larger with 64 observations. The standard error of the mean will be the same with either 64 or 100 observations.
- A population has a mean of u=50 and a standard deviation of 0=10. If 3 points were added to every score in the population, what would be the new values for the mean and standard deviation?A company has determined that the mean number of days it takes to collect on its accounts receivable is 36 with a standard deviation of 11 days. The company plans to select a random sample of n=12 accounts and compute the sample mean. The sampling process follows a simple random sampling. The objective of random sampling is to gather data that accurately represent a population. 2b. If we carefully follow the sampling plan, there is a possibility to obtain zero sampling error. Please comment on this statement.A random sample of 11 items is drawn from a population whose standard deviation is unknown. The sample mean is x=920 and the sample standard deviation is s=25. Use Appendix D to find the values of student's t
- Consider the distribution of the average number of hours that college students spend sleeping each weeknight. This distribution is very skewed to the right, with a mean of 5 and a standard deviation of 1. A researcher plans to take a simple random sample of 18 college students. If we were to imagine that we could take all possible random samples of size 18 from the population of college students, the sampling distribution of the average number of hours spent sleeping will have a shape that is ☐ Exactly normal. Just like the population (i.e., very skewed to the right). Less skewed than the population.5. The distribution of heights of a certain breed of terrier has a mean of 72 centimeters and a standard deviation of 10 centimeters, whereas the distribution of heights of a certain breed of poodle has a mcan of 28 centimeters with a standard deviation of 5 centimcters. Assume the distributions of both types of breeds are normally distributed. (n) Suppose we are taking a random sample of 64 terriers. What is the sampling distri- bution of mean heights of the breed of terriers? (b) Find the probability that the sample mean for a random sample of heights of 61 terriers excoedls 75 centimetcrs. (c) Find the probability that the sample mean for a random sample of heights of 64 terriers excoeds the sample mean for a random sample of heights of 100 poodles by at lenst 44.2 centimeters.Suppose we are about to sample 150 values from a normally distributed population that has a mean of 500 and a standard deviation of 10. What is the 80th percentile of the sampling distribution of the sample mean in this scenario? (Give your numeric response to at least 3 decimal places.
- A population is known to be normally distributed with standard deviation known to be 8.5. In order to test the hypothesis that the true value of the mean is 17 researchers collect a sample of size 33 and calculate the sample mean to be 14. State the distribution of the sample mean and then test this hypothesis using the appropriate test.Suppose x has a distribution with a mean of 30 and a standard deviation of 4. Random samples of size n = 64 are drawn.Suppose we are about to sample 200 values from a normally distributed population that has a mean of 120 and a standard deviation of 70. What is the 10th percentile of the sampling distribution of the sample mean in this scenario? (Give your numeric response to at least 3 decimal places. Give only your numeric response, and no extra characters or symbols.)
