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
μ =
σ =
A random sample is selected from a population with mean μ = 102 and standard deviation...
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 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 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 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...
1) Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case. (Round your answers to four decimal places.) (a) n = 16, μ = 14, σ2 = 9 μ=σ= (b) n = 100, μ = 9, σ2 = 4 μ=σ= (c) n = 10, μ = 118, σ2 = 1 μ=σ= 3) A random sample of size...
Suppose a random sample of=100 measurements is selected from a population with mean μ and standard deviation σ.For each of the following values of μ and σ, give the values of u Subscript x overbarμx and sigma Subscript x overbar Baseline .and σx. a. μ=55, σ=22 b. μ=25, σ=100 c. μ=10, sigma=8080 d. u=55, σ=190 a. mu Subscript x overbarμxequals=______ sigma Subscript x overbarσxequals=_______ (Type an integer or a decimal.)
Suppose a random sample of n = 25 observations is selected from a population that is normally distributed with mean equal to 106 and standard deviation equal to 15. (a) Give the mean and the standard deviation of the sampling distribution of the sample mean x̄. mean= standard deviation= (b) Find the probability that x̄ exceeds 115. (Round your answer to four decimal places.) (c) Find the probability that the sample mean deviates from the population mean μ...
A random sample is to be selected from a population that has a proportion of successes p 0.64. Determine the mean and standard deviation of the sampling distribution of p for each of the following sample sizes. (Round your standard deviations to four decimal places.) (a) n 30 mean standard deviation (b) n 40 mean standard deviation (c) 50 mean standard deviation (d) n- 70 mean standard deviation (e) n-120 mean standard deviation (f) n-220 mean standard deviation
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drawn from a population with mean μ-52 and standard deviation σ= 4.3. Mou may find it useful to reference A random sample the z table.] a. Is the sampling distribution of the sample mean with n-13 and n# 39 normally distributed? ○Yes, both the sample means will have a normal distribution. O No, both the sample means will not have a normal distribution. O No, only the sample mean with n 13 will have a normal distribution. O No, only...