Question
In: Statistics and Probability
For a random sample of size 64 from a population with mu=24 and standard deviation sigma=1.5....
For a random sample of size 64 from a population with mu=24 and standard deviation sigma=1.5. State the center, variation, and shape of the sampling distribution for samples of size 64. Justify your answer. Find the probability that the sample mean exceeds 24.3. Draw a fully labeled picture that illustrates the probability, and write down your answer using probability notation.
Solutions
orchestra answered 2 years agoRelated Solutions
9. If a sample of size 64 is drawn from a population with a standard deviation...
9. If a sample of size 64 is drawn from a population with a
standard deviation of 80,
the standard deviation of sample means would equal _______.
A. 10.000
B. 1.250
C. 0.125
D. 0.800
A simple random sample of size n=64 is obtained from a population with mu equals 76...
A simple random sample of size n=64 is obtained from a
population with mu equals 76 and sigma equals 8. (a) Describe the
sampling distribution of x overbar. (b) What is Upper P left
parenthesis x overbar greater than 77.9 right parenthesis? (c)
What is Upper P left parenthesis x overbar less than or equals
73.55 right parenthesis? (d) What is Upper P left parenthesis
74.85 less than x overbar less than 78.1 right parenthesis?
A simple random sample of size n=64 is obtained from a population with μ=88 and σ=24....
A simple random sample of size n=64 is obtained from a
population with μ=88 and σ=24.
(a) Describe the sampling distribution of x. is it 1,2,3,4, or
5?
1. The distribution is skewed right.
2. The distribution is approximately normal.
3. The distribution is uniform.
4. The distribution is skewed left.
5. The shape of the distribution is
unknown.
Find the mean and standard deviation of the sampling
distribution of x.
Ux=
Ox=
(b) What is P (x>91.75) ? Round...
A simple random sample of size n=64 is obtained from a population with μ=77 σ=24. (a)...
A simple random sample of size n=64 is obtained from a
population with μ=77 σ=24.
(a) Describe the sampling distribution of x
(b) What is P (x > 80.75)?
(c) What is P (x ≤ 70.25)?
(d) What is P (74.6<x<83.3)?
Suppose that a random sample of size 64 is to be selected from a population with...
Suppose that a random sample of size 64 is to be selected from a
population with mean 40 and standard deviation 5. (a) What are the
mean and standard deviation of the x sampling distribution? μx = 1
40 Correct: Your answer is correct. σx = 2 .625 Correct: Your
answer is correct. (b) What is the approximate probability that x
will be within 0.2 of the population mean μ? (Round your answer to
four decimal places.) P = 3...
Suppose that a random sample of size 64 is to be selected from a population with...
Suppose that a random sample of size 64 is to be selected from a
population with mean 40 and standard deviation 5.
a) What is the approximate probability that x will differ from μ
by more than 0.8? (Round your answer to four decimal places.)
We draw a random sample of size 36 from a population with standard deviation 3.2. If...
We draw a random sample of size 36 from a population with
standard deviation 3.2. If the sample mean is 27, what is a 95%
confidence interval for the population mean?
[26.7550, 28.2450]
[25.9547, 28.0453]
[25.8567, 28.1433]
[26.8401, 27.1599]
We draw a random sample of size 36 from a population with standard deviation 3.2. If...
We draw a random sample of size 36 from a population with
standard deviation 3.2. If the sample mean is 27, what is a 95%
confidence interval for the population mean?
A random sample of size 16 from a normal distribution with known population standard deviation �...
A random sample of size 16 from a normal distribution with known
population standard deviation � = 3.1 yields sample average � =
23.2.
What probability distribution should we use for our sampling
distributions of the means?
a) Normal Distribution
b) T-distribution
c) Binomial Distribution
d) Poisson Distribution
What is the error bound (error) for this sample average for a
90% confidence interval?
What is the 90% confidence interval for the population mean?
1. Suppose that a random sample of size 64 is to be selected from a population...
1. Suppose that a random sample of size 64 is to be selected
from a population with mean 40 and standard deviation 5.
a. What is the mean of the ¯xx¯ sampling distribution?
b. What is the standard deviation of the ¯xx¯ sampling
distribution?
c. What is the approximate probability that ¯xx¯ will be within
0.5 of the population mean μμ?
d. What is the approximate probability that ¯xx¯ will differ
from μμ by more than 0.7?
2. A Food...
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