Question

For samples of the specified size from the population described, find the mean and standard deviation of the sample mean x̄. The mean and the standard deviation of the sampled population are, respectively, 46.4 and 7.3. n = 324

Answer #1

= 46.4

= = 7.3/ = 0.406

For samples of the specified size from the population described,
find the mean and standard deviation of the sample mean.The
National Weather Service keeps records of rainfall in valleys.
Records indicate that in a certain valley, the annual rainfall has
a mean of and a standard deviation of Suppose the rainfalls are
sampled during randomly picked years, and is the mean amount of
rain in these years. For samples of size 36, determine the mean and
standard deviation of .

Random samples of size 78 were selected from a population with
mean 137 and standard deviation 4.2.
A.) What is the mean of the sample means ( x )?
B.) What is the standard deviation of the sample means ( x
)?

Random samples of size 78 were selected from a population with
mean 137 and standard deviation 4.2.
A.) What is the mean of the sample means ( x )?
B.) What is the standard deviation of the sample means ( x
)?

If random samples of size 11 are drawn from a population with
mean 7 and standard deviation 2 , find the standard error of the
distribution of sample means.
Round your answer to three decimal places, if necessary.
standard error =
Assume the sample is a random sample from a distribution that is
reasonably normally distributed and we are doing inference for a
sample mean. Find endpoints of a t-distribution with 1%
beyond them in each tail if the sample...

A population has mean 72 and standard deviation 6.
Find the mean and standard deviation of X for samples
of size 45.
Find the probability that the mean of a sample of size 45 will
differ from the population mean 72 by at least 2 units, that is, is
either less than 70 or more than 74. (Hint: One way to solve the
problem is to first find the probability of the complementary
event.)

Given a population
mean of 27.1 with a standard deviation of 8.4 and a sample size of
10, answer these questions:
Part
A: What is the standard deviation of the sampling
distribution of x̄? Show your work. (5 points)
Part
B: What does the sample size need to be if you want the
standard deviation of the sampling distribution of x̄ to be 2.8?
Show your work. (5 points) (10 points)

A sample mean, sample size, and population standard deviation
are provided below. Use the one-mean z-test to perform the required
hypothesis test at the 5% significance level.
x̄ = 27, n = 12, σ = 5
Ha : μ> 23

Assume that population means are to be estimated from the
samples described. Use the sample results to approximate the margin
of error and 95% confidence interval. Sample size- 1,042 Sample
mean - 46,245 Standard Deviation- 26,000
1-The margin of error is
2-Find the 95% confidence interval.

15. Random samples of size 81 are taken from an infinite
population whose mean and standard deviation are 200 and 18,
respectively. The distribution of the population is unknown. The
mean and the standard error of the mean are (assuming infinite
population)
a. 200 and 18
b. 81 and 18
c. 9 and 2
d. 200 and 2
16. A population has a mean of 300 and a standard deviation of
18. A sample of 144 observations will be taken....

a normally distributed population has mean 57.7 and standard
deviation 12.1 .(a) find the probability that single randomly
selected element X OF THE POPULATION IS LESS THAN 45 (b) find the
mean and standard deviation of x for samples size 16. (c) find the
probability that the mean of a sample of size 16 drawn from this
population is less than 45

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