Suppose a random sample of size 55 is selected from a population with o = 10. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). a. The population size is infinite (to 2 decimals). b. The population size is N = 50,000 (to 2 decimals). c. The population size is N = 5000 (to 2 decimals). |3D d. The population size is N = 500 (to 2 decimals).
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- Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $242 with a standard deviation of $55. Random samples of size 35 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is enter your response here. The standard deviation of the distribution of sample means is enter your response here. (Type an integer or decimal rounded to three decimal places as needed.) Sketch a graph of the sampling distribution. Choose the correct answer below. A. -3 0 3Mean price (in $) x A bell shaped curve is over a horizontal x overbar axis labeled Mean price (in dollars) from negative 3 to 3 in increments of 1 and is centered on 0. B. 239 242 245Mean price (in $) x A bell shaped curve is over…To test whether the mean time needed to mix a batch of material is the same for machines produced by three manufacturers, the Jacobs Chemical Company obtained the following data on the time (in minutes) needed to mix the material. ITI Manufacture 2 3 18 30 24 27 24 21 24 30 24 21 24 18 a. Compute the values below (to 2 decimals, if necessary). Sum of Squares, Error 105.75 Mean Squares, Error 11.7 Fisher's LSD Value b. Use Fisher's LSD procedure to develop a 95% confidence interval estimate of the difference between the means for manufacturer 1 and manufacturer 2. Round to two decimal places. Enter negative values as negative numbers. to Hide Feedback Partially CorrectQ2. Calculate Standard Deviation, Variance and Co-efficient of variation Weight (Kg) No. of Residents 10-20 100 20-30 85 30-40 125 40-50 20 50-60 30 60-70 5 70-80
- The finite population correction is most useful for which of the following? a. It adjusts the estimated mean when the sample size is a large fraction of the population size. b. It adjusts the standard error of the mean when the sample size is a small fraction of the population size. c. It adjusts the estimated mean when the sample size is a small fraction of the population size. d. It adjusts the standard error of the mean when the sample size is a large fraction of the population size.Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.) sample size of 500,000sample size of 1,000,000sample size of 5,000,000sample size of 10,000,000sample size of 100,000,000 What can you say about the size of the standard error of the sample proportion as the sample size is increased? The standard error of the sample proportion, σp, ---Select--- increases decreases and becomes extremely ---Select--- small large as the sample size becomes huge.Roll the correct die 100 times. Find: a) the average of the dropped points Enter the exact answer. а) M(X)= b) the variance of the amount of dropped points Enter numbers with a dot separator to one decimal place, for example 121.3. b) D(X)= c) the standard deviation of the sum of the dropped out points. Enter numbers with a dot separator to one decimal place, for example 12.3. c) σ (X) =
- In anticipation of an upcoming election, officials in Rising Falls County are looking at the distance from each voter's home to that voter's nearest polling station. Assume that the population of all such distances for voters in Rising Falls County is approximately normally distributed. An article for the newspaper Politically Sound claimed that the mean of this population is 5.15 km. You want to test this claim, so you select a random sample of 23 Rising Falls County voters, and for each you record the distance the voter lives from their nearest polling station. Follow the steps below to construct a 90% confidence interval for the population mean of all the distances voters in Rising Falls County live from their nearest polling station. Then state whether the confidence interval you construct contradicts the reporter's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: П Point estimate: 0…When is the unexplained variation (that is, error sum of squares) equal to 0? Choose the correct choice below. O A. When each value for the variable's observed value is lesser than the predicted value O B. When each value for the variable's observed value is equal to the opposite of the predicted value OC. When each value for the variable's observed value is equal to the predicted value O D. When each value for the variable's observed value is greater than the predicted valueLet x₁ represent the sample mean cost (in thousands) to remodel a kitchen and x₂ represent the sample mean cost (in thousands) to remodel a master bedroom. A point estimate for the difference in these remodeling costs is desired, so x₁ - x₂ is needed. A sample mean is calculated as follows where x, is the sum of the given values and n is the sample size. X = n The sample of costs to remodel a kitchen, in thousands of dollars, are given. Kitchen 27.2 18.4 23.8 22.9 20.7 24.0 21.7 17.9
- Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $227 with a standard deviation of $68. Random samples of size 21 are drawn from this population and the mean of each sample is determined.Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling distribution. Then sketch a graph of the sampling distribution. The mean price of photo printers on a website is $227 with a standard deviation of $69. Random samples of size 31 are drawn from this population and the mean of each sample is determined. The mean of the distribution of sample means is nothing.Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 111 pounds and a standard deviation of 37.8 pounds. Random samples of size 19 are drawn from this population and the mean of each sample is determined. 1₂ = 0 ...