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 = 36, μ = 11, σ2 = 9
μ=
σ=
(b) n = 100, μ = 4, σ2 = 4
μ=
σ=
(c) n = 8, μ = 110, σ2 = 1
μ=
σ=
Random samples of size n were selected from populations with the means and variances given here....
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...
Independent random samples were selected from two quantitative populations, with sample sizes, means, and variances given below. Population 1 2 Sample Size 39 44 Sample Mean 9.3 7.3 Sample Variance 8.5 14.82 Construct a 90% confidence interval for the difference in the population means. (Use μ1 − μ2. Round your answers to two decimal places.) __________ to ____________ Construct a 99% confidence interval for the difference in the population means. (Round your answers to two decimal places.) __________ to _____________
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=
1. Three randomly selected households are surveyed. The numbers of people in the households are 3, 4 and 11. Assume that samples of size n=2 are randomly selected with replacement from the population of3, 4, and 11. Listed below are the nine different samples. Complete parts (a) through (c).3,3 3,4 3,11 4,3 4,4 4,11 11,3 11,4 11,11a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table...
A random sample of size n = 25 is obtained from a normally distributed population with population mean μ =200 and variance σ^2 = 100. a) What are the mean and standard deviation of the sampling distribution for the sample means? b) What is the probability that the sample mean is greater than 203? c) What is the value of the sample variance such that 5% of the sample variances would be less than this value? d) What is the...
For random samples of size n = 16 selected from a normal distribution with a mean of 75 and a standard deviation of 20, find each of the following: a. The range of sample means that defines the middle 95% of the distribution of sample means b. The range of sample means that defines the middle 99% of the distribution of sample means
For four populations, the population variances are assumed to be equal. Random samples from each population provide the following data. Population Sample Size Sample Mean Sample Variance 1 11 40 23.4 2 11 35 21.6 3 11 39 25.2 4 11 37 24.6 Using a .05 level of significance, test to see if the means for all four populations are the same.
Suppose that X1, X2,.... Xn and Y1, Y2,.... Yn are independent random samples from populations with the same mean μ and variances σ., and σ2, respectively. That is, x, ~N(μ, σ ) y, ~ N(μ, σ ) 2X + 3Y Show that is a consistent estimator of μ.
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 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...