- The required sample size for the interval estimation of the population mean μ can be...
- The required sample size for the interval estimation of the population mean μ can be computed if we specify the population standard deviation σ, the value of zα/2zα/2based on the confidence level 100(1 − α)% and the desired margin of error E.
A) True B) False
- In stratified random sampling, the population is first divided up into mutually exclusive and collectively exhaustive groups, called strata. Then simple random samples are drawn from each stratum, which are proportional to the stratum’s size in the population.
A) True B) False
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- The required sample size for the interval estimation of the
population mean μ can be...
A random sample of size n = 64 is selected from a population with mean μ...
A random sample of size n = 64 is selected from a population with mean μ = 52 and standard deviation σ = 24. a. What will be the approximate shape of the sampling distribution of x? skewed symmetric normal b. What will be the mean and standard deviation of the sampling distribution of x? mean= standard deviation=
CLUSTER SAMPLING WITH ESTIMATION Suppose a population of size N is divided into K- N/M groups of size M. We select a sample of size n -km the following way: » First we select k groups out of K groups...
CLUSTER SAMPLING WITH ESTIMATION Suppose a population of size N is divided into K- N/M groups of size M. We select a sample of size n -km the following way: » First we select k groups out of K groups by simple random sampling . We then select m units in each group selected on the first step by simple random sampling . The estimate of the population mean is the average Y of the sample. Let μί be the...
A random sample of size n = 50 is taken from a population with mean μ...
A random sample of size n = 50 is taken from a population with mean μ = −9.5 and standard deviation σ = 2. [You may find it useful to reference the z table.] a. Calculate the expected value and the standard error for the sampling distribution of the sample mean. (Negative values should be indicated by a minus sign. Round "expected value" to 1 decimal place and "standard deviation" to 4 decimal places.) b. What is the probability that...
4.18 A random sample of size 25 is selected from a population with mean μ =...
4.18 A random sample of size 25 is selected from a population with mean μ = 85 and standard deviation σ-4. Approximate the following probabilities using the central limit theorem (a) PrX 86, 6451 (b) PrX < 84.340] (c) Pr(83.04 〈 X < 86.96]
A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10
A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10. * a. This sample of 36 has a mean value of , which belongs to a sampling distribution. Find the shape of this sampling distribution. * b. Find the mean of this sampling distribution. * c. Find the standard error of this sampling distribution. * d. What is the...
1 You draw a random sample ofsizen=16 from a population with mean μ 100 and standard...
1 You draw a random sample ofsizen=16 from a population with mean μ 100 and standard deviation ơ 20. [2] The mean of the sample means": and the standard deviation ơi of the sample means are respectively a. 98, 18 b. 100, 20 c. 100,5 d. impossible to determine (ii) [1] Approximately what is the probability that the sample mean is between 95 and 105? a. 0.6826 b. 0.1974 c. 0.5861 d. 0.9876 (ii) [1] what must be true regarding...
A simple random sample of size n=49 is obtained from a population with μ=73 and σ=21....
A simple random sample of size n=49 is obtained from a population with μ=73 and σ=21. (a) Describe the sampling distribution of x. (b) What is P x>78.7? (c) What is P x≤66.25? (d) What is P 70.6<x<80.2?
Which of the following is a true statement for any population with mean μ and standard deviation σ? I. The distribution of sample means for sample size n will have a mean of μ.
Which of the following is a true statement for any population with mean μ and standard deviation σ? I. The distribution of sample means for sample size n will have a mean of μ. II. The distribution of sample means for sample size n will have a standard deviation of. III. The distribution of sample means will approach a normal distribution as n approaches infinity.
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5<μ<13.1 with a...
Q12. a) Suppose the given confidence interval estimates the true population mean as 3.5<μ<13.1 with a 95% level of confidence when σ is known. (i) Find the point estimates for the unknown population mean. (ii) Find the margin of error. (iii) Give the interpretation of the confidence interval. (iv) Name two ways of decreasing the width of the confidence interval. b) State the assumptions necessary for linear regression model Y=A+Bx+ε c) Let p^ be a sample proportion based on a...
A population of values has a normal distribution with μ = 134.3 and σ = 62.4 . You intend to draw a random sample of size n = 137 . What is the mean of the distribution of sample means? μ ¯ x = What is the standard deviation of the distrib
A population of values has a normal distribution with μ=134.3μ=134.3 and σ=62.4σ=62.4. You intend to draw a random sample of size n=137n=137.What is the mean of the distribution of sample means?μ¯x=μx¯= What is the standard deviation of the distribution of sample means?(Report answer accurate to 2 decimal places.)σ¯x=σx¯=
CLUSTER SAMPLING WITH ESTIMATION Suppose a population of size N is divided into K- N/M groups of size M. We select a sample of size n -km the following way: » First we select k groups out of K groups by simple random sampling . We then select m units in each group selected on the first step by simple random sampling . The estimate of the population mean is the average Y of the sample. Let μί be the...
4.18 A random sample of size 25 is selected from a population with mean μ = 85 and standard deviation σ-4. Approximate the following probabilities using the central limit theorem (a) PrX 86, 6451 (b) PrX < 84.340] (c) Pr(83.04 〈 X < 86.96]
1 You draw a random sample ofsizen=16 from a population with mean μ 100 and standard deviation ơ 20. [2] The mean of the sample means": and the standard deviation ơi of the sample means are respectively a. 98, 18 b. 100, 20 c. 100,5 d. impossible to determine (ii) [1] Approximately what is the probability that the sample mean is between 95 and 105? a. 0.6826 b. 0.1974 c. 0.5861 d. 0.9876 (ii) [1] what must be true regarding...
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