The sampling distribution of the mean depends on the sample size. O False O true
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Q: For the sampling distribution of the mean, o = o. O True O False
A: From the provided information, Sampling distribution of the mean σx̄ = σ
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Q: Get the variance of the sampling distribution
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- A sample mean is calculated from a sample of size 20. How many degrees of freedom does the sampling distribution of sample means have? 18 19 20 21RepostLet's examine the mean of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 by drawing samples from these values, calculating the mean of each sample, and then considering the sampling distribution of the mean. To do this, suppose you perform an experiment in which you roll an eight-sided die two times (or equivalently, roll two eight-sided dice one time) and calculate the mean of your sample. Remember that your population is the numbers 1, 2, 3, 4, 5, 6, 7, and 8. The true mean (µ) of the numbers 1, 2, 3, 4, 5, 6, 7, and 8 is , and the true standard deviation (o) is The number of possible different samples (each of size n = 2) is the number of possibilities on the first roll (8) times the number of possibilities on the second roll (also 8), or 8(8) = 64. If you collected all of these possible samples, the mean of your sampling distribution of means (µM) would equal and the standard deviation of your sampling distribution of means (that is, the standard error or ɑm) would be The following chart…
- The purpose and intent of the assignment is to help you better understand the sampling distribution of the mean. The class sampling exercise In class we conducted a sampling exercise. The population consisted of 25 elements. The possible values for the elements in the population ranged from 1 to 9 and were distributed as follows: Value Frequency Proportion Percentage 1 1 0.04 4% 2 2 0.08 8% 3 3 0.12 12% 4 4 0.16 16% 5 5 0.2 20% 6 4 0.16 16% 7 3 0.12 12% 8 2 0.08 8% 9 1 0.04 4% As in the class exercise, 10 elements are drawn replacing each element before the next is drawn. This was done 1000 times. The data set is given in a separate…Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution of a sample mean is normal only if the population is normal. Choose the correct answer below. O A. The statement is false. A sampling distribution of a sample mean is approximately normal if either n ≥ 30 or the population is normal. B. The statement is false. A sampling distribution of a sample mean is never normal. O C. The statement is false. A sampling distribution of a sample mean is approximately normal only if n ≥ 30. OD. The statement is true.STATISTICS AND PROBABILITY Multiple Choice! No long explaantion needed. THUMBS-UP will be given! Which statement(s) is/are FALSE? A. The mean of the sampling distribution of the sample mean is equal to the sample mean. B. The standard error of the sample mean is not affected by the sample size. A. both A and B B. neither A nor B C. A D. B
- Please answer quickly!Determine the type of sampling used in the following scenario. A student wants to know the average height of the class. The student asks 3 male classmates and 3 female classmates for their height. simple random sampling stratified sampling cluster sampling systematic sampling convenience samplingDetermine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below O A. The statement is false. A sampling distribution is never normal. O B. The statement is false. A sampling distribution is normal only if n230. O C. The statement is true. O D. The statement is false. A sampling distribution is normal if either n230 or the population is normal. Click to select your answer. ... acer
- der Describe the shape of the distribution. OA. The distribution is uniform. O B. The distribution is skewed to the right. OC. The distribution is skewed to the left. OD. The distribution is bell shaped.Because variance divided by the sample size gives you the estimated standard error, as the sample size ______, the estimated standard error will ______. a. increases ; decrease b. decreases ; decrease c. increases ; increase d. decreases ; increaseCigarette Taxes The increases (in cents) in cigarette taxes for 14 states in a 6-month period are , 51 , 60 , 12 , 20 , 30 , 40 , 32 , 34 , 42 , 45 , 50 , 40 , 18 31 (a) Find the range. The range is . (b) Find the variance and the standard deviation. Assume the data represent samples, and use the shortcut formula for the unbiased estimator to compute the variance and standard deviation. Round your answers to at least one decimal place. The variance is /The standard deviation is (c) Use the range rule of thumb to estimate the standard deviation. Round your answer to one decimal place. Using the range rule of thumb, ≈s. (d) Compare the estimate to the actual standard deviation. The range rule of thumb ▼(Choose one) a reasonable estimate for the standard deviation for this data.