Suppose that a random variable X follows a distribution with mean 100 and variance 81. We...
Suppose that a random variable X follows a distribution with mean 100 and variance 81. We take a random sample of 240 observations and calculate x. What is the probability that we calculate a sample mean larger than 101?
Homework Answers
Add Answer to:
Suppose that a random variable X follows a distribution with
mean 100 and variance 81. We...
Suppose that a random variable is normally distributed with mean μ and variance σ2 and we...
Suppose that a random variable is normally distributed with mean μ and variance σ2 and we draw a random sample of 5 observations from this distribution. What is the joint probability density function of the sample?
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50...
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 2...
Question 2 (0.5 points) A random variable X follows a normal distribution with mean of 50...
Question 2 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 60 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 3...
Problem (Modified from Problem 7-10 on page 248). Suppose that the random variable X has the cont...
Problem (Modified from Problem 7-10 on page 248). Suppose that the random variable X has the continuous uniform distribution f(R) 0, otherwise Suppose that a random sample of n-12 observations is selected from this distribution, and consider the sample mean X. Although the sample size n -12 is not big, we assume that the Central Limit Theorem is applicable. (a) What is the approximate probability distribution of Xt Find the mean and variance of this quantity Appendix Table III on...
Suppose the random variable X follows a normal distribution with mean µ = 84 and standard...
Suppose the random variable X follows a normal distribution with mean µ = 84 and standard deviation σ = 20. Calculate each of the following: P(X > 100) P(80 < X < 144) P(124 < X < 160) P(X < 50) P(X > X*) = .0062. What is the value of X*?
Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation...
Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation 15. Suppose that we select random samples of size n=81 to construct a sampling distribution of means. Then which of the following is NOT true? Given enough samples, the shape of the sampling distribution will be approximately normal The standard deviation of the sampling distribution is 15/9 The mean of the sampling distribution is 100 The mean of any random sample will be 100...
A random variable follows a normal distribution with a mean of 825 and std. dev. of...
A random variable follows a normal distribution with a mean of 825 and std. dev. of 224. What is the probability of gathering a sample of 25 observations and the sample average falls below 725 or above 925?
Question 3 (0.5 points) A random variable X has a left-skewed distribution with mean of 50...
Question 3 (0.5 points) A random variable X has a left-skewed distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No.
Suppose a random sample of n measurement is selected from a population with mean My=100, and...
Suppose a random sample of n measurement is selected from a
population with mean My=100, and variance oy2=100. For each of the
following values of n, calculate the mean and standard erro of the
sampling distribution of the sample mean y.
A) n=64
B) n=81
C) n=100
D) n=1000
Book, 4,8 Supplementary problems. 1. Suppose a Hy -100, and variance o,2100. For each of the following values of n, calculate the mean and standard error of the sampling distribution of...
Suppose that Xi are IID normal random variables with mean 2 and variance 1, for i...
Suppose that Xi are IID normal random variables with mean 2 and variance 1, for i = 1, 2, ..., n. (a) Calculate P(X1 < 2.6), i.e., the probability that the first value collected is less than 2.6. (b) Suppose we collect a sample of size 2, X1 and X2. What is the probability that their sample mean is greater than 3? (c) Again, suppose we collect two samples (n=2), X1 and X2. What is the probability that their sum...
Question 1 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 2...
Question 2 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 60 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 3...
Problem (Modified from Problem 7-10 on page 248). Suppose that the random variable X has the continuous uniform distribution f(R) 0, otherwise Suppose that a random sample of n-12 observations is selected from this distribution, and consider the sample mean X. Although the sample size n -12 is not big, we assume that the Central Limit Theorem is applicable. (a) What is the approximate probability distribution of Xt Find the mean and variance of this quantity Appendix Table III on...
Question 10 14 pts Suppose X is a random variable with mean 100 and standard deviation 15. Suppose that we select random samples of size n=81 to construct a sampling distribution of means. Then which of the following is NOT true? Given enough samples, the shape of the sampling distribution will be approximately normal The standard deviation of the sampling distribution is 15/9 The mean of the sampling distribution is 100 The mean of any random sample will be 100...
Question 3 (0.5 points) A random variable X has a left-skewed distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 6 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No.
Suppose a random sample of n measurement is selected from a
population with mean My=100, and variance oy2=100. For each of the
following values of n, calculate the mean and standard erro of the
sampling distribution of the sample mean y.
A) n=64
B) n=81
C) n=100
D) n=1000
Book, 4,8 Supplementary problems. 1. Suppose a Hy -100, and variance o,2100. For each of the following values of n, calculate the mean and standard error of the sampling distribution of...
Suppose that Xi are IID normal random variables with mean 2 and variance 1, for i = 1, 2, ..., n. (a) Calculate P(X1 < 2.6), i.e., the probability that the first value collected is less than 2.6. (b) Suppose we collect a sample of size 2, X1 and X2. What is the probability that their sample mean is greater than 3? (c) Again, suppose we collect two samples (n=2), X1 and X2. What is the probability that their sum...
Most questions answered within 3 hours.
-
A researcher is interested in students' opinions regarding an
additional annual fee to support non-income-producing varsity...
asked 1 minute ago -
In about a paragraph or more, discuss why does a fund such as,
Invesco CEF Income...
asked 16 seconds from now -
A six-sided die is rolled 500 times. Use the CLT to approximate
the probability that the...
asked 2 minutes ago -
Water is poured into a container that has a leak. The mass m of
the water...
asked 8 minutes ago -
Shakespeare - whether you like his writing or not - is well
known for his writing...
asked 17 minutes ago -
A certain genetic characteristic of a particular plant can
appear in one of three forms (phenotypes)....
asked 33 minutes ago -
summarize Robert s. McNamara and the evolution of modern
management and the key point.
asked 32 minutes ago -
how many double bond equivalents are contained in a compound
with a molecular formula of C6H2F3I
asked 38 minutes ago -
A sample of pond sediment was diluted by placing a 0.1 g into
9.9 ml of...
asked 39 minutes ago -
A student performed an experiment using the same setup as the
one used in the lab...
asked 53 minutes ago -
predict the major product of nitration of bromobenzene, followed by
SnCl2 reduction
asked 1 hour ago -
A standing wave with five antinodes is excited in a string of
length 2.5 m where...
asked 56 minutes ago