![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 the distribution of the population in order to compute probabilities regarding the sample mean? (i.e. to solve question (ii) above) (iv)[I] Assuming the requirements in part (ii) are satisfied, describe the shape of the sampling distribution of the mean (v) [2] What would the mean of the sample means and the variance of sample means have been if the samples had been of size 50, still drawn from a population with μ-100 and σ-20?](http://img.homeworklib.com/questions/5e637e70-8155-11eb-b925-7f8577a3e97c.png?x-oss-process=image/resize,w_560)
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1 You draw a random sample ofsizen=16 from a population with mean μ 100 and standard...
A random sample is selected from a population with mean μ = 102 and standard deviation...
A random sample is selected from a population with mean μ = 102 and standard deviation σ = 10. Determine the mean and standard deviation of the xbar sampling distribution for each of the following sample sizes. (Round the answers to three decimal places.) (a) n = 15 μ = σ = (b) n = 35 μ = σ = (c) n = 55 μ = σ = (d) n = 110 μ = σ = (e) n = 440...
A random sample is drawn from a normally distributed population with mean μ = 24 and...
A random sample is drawn from a normally distributed population with mean μ = 24 and standard deviation σ = 1.6. a. Are the sampling distribution of the sample mean with n = 32 and n = 63 normally distributed? Yes, both the sample means will have a normal distribution. No, both the sample means will not have a normal distribution. No, only the sample mean with n = 32 will have a normal distribution. No, only the sample mean...
A population has a mean μ=73 and a standard deviation σ=24. Find the mean and standard...
A population has a mean μ=73 and a standard deviation σ=24. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=64.
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.
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=
A population has a mean μ=71 and a standard deviation σ=27. Find the mean and standard...
A population has a mean μ=71 and a standard deviation σ=27. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=81. μx=_____ (Simplify your answer.)
A variable of a population has a mean of μ=100 and a standard deviation of σ=35....
A variable of a population has a mean of μ=100 and a standard deviation of σ=35. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean________ and standard deviation_______?
A population has a mean μ=0.1 and a standard deviation σ=0.2. What is the standard deviation...
A population has a mean μ=0.1 and a standard deviation σ=0.2. What is the standard deviation of the sampling distribution of the sample means if the sample size is n=112? Round your answer to the nearest hundredth.
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...
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¯=
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