a. State the definition of sampling distribution? (3 marks) b. Let’s assume that we have a...

a. State the definition of sampling distribution?
b. Let’s assume that we have a Bernoulli random variable X,
X = a with probability 0.78,
X = b with probability 0.22,
Where a and b are 5 and 9 respectively.
Develop a sampling distribution for sample means of the Bernoulli distribution when the sample size is 6
c. What is the expected value of sample means in question 3.b? What is the variance of the sample means?
d. If the sample size increases to a large number n (n is greater than 30), how are the sample means distributed? ( 3 marks)

Expert Solution

orchestra answered 2 years ago

Sampling distribution question State the definition of sampling distribution? Let’s assume that we have a Bernoulli...

Sampling distribution question State the definition of sampling distribution? Let’s assume that we have a Bernoulli random variable X, X = a with probability 0.78, X = b with probability 0.22, Where a and b are the third and fourth digit of your student number, respectively.(a=9,b=9) Develop a sampling distribution for sample means of the Bernoulli distribution when the sample size is 6 What is the expected value of sample means in question 3.b? What is the variance of the...

4. Let’s assume a researcher is creating a sampling distribution for the exam scores of introduction...

4. Let’s assume a researcher is creating a sampling distribution for the exam scores of introduction to marketing course finals for the last 10 years that were taken at Wayne State University. Let’s us assume that the sample size is 225.What is the standard error? How do we interpret that number? 5. Let’s now estimate the population mean with a 95% level of confidence. In other words, compute a range such that you are 95% confident that this range will...

Define sampling distribution. b. Explain why the spread (variance) of a sampling distribution for estimating a...

Define sampling distribution. b. Explain why the spread (variance) of a sampling distribution for estimating a mean would be smaller than the spread (variance) of the whole population. c. Discuss what happens to the shape AND spread of a sampling distribution as sample size (n) is increased. d.Explain why it is essential that the sampling distribution be normally distributed (or t-distributed) in order to do the statistical inference procedures we use in Chapters 9, 10 and 11.

Assume that we have 3 Stocks A, B & C. A B C Expected return 8%...

Assume that we have 3 Stocks A, B & C. A B C Expected return 8% 12% 6% Variance 0.012 0.028 0.009 If the covariance between stock A & B return is equal to 0.009159, stock A & C return is equal to -0.005146 and stock B & C return 0.01572 Required Calculate the Standard Deviation for stock A, B & C. which stock is risky and why? Calculate the correlation between every two stocks. What is the indication of...

1. What is a Sampling Distribution? 2. How is a Sampling Distribution created? 3. Explain the...

1. What is a Sampling Distribution? 2. How is a Sampling Distribution created? 3. Explain the Central Limit Theorem in terms of having a normal Sampling Distribution. 4. Why is having a normal Sampling Distribution important? 5. How do we calculate the mean for a Sampling Distribution? 6. How do we calculate the standard deviation for a Sampling Distribution? 7. How is the mean and standard deviation for a Sampling Distribution affected as the sample size increases? 8. How do...

a) State the 3 parameters needed for design a circular curve. (3 marks) b) Describe the...

a) State the 3 parameters needed for design a circular curve. b) Describe the possible traditional methods for setting out circular curves. c) Describe the two types of transition curves and comment on the use of them. d) Describe the two main requirements in the design and construction of vertical curves.

Q13 Briefly describe the following distribution shapes: [3 Marks] (a) Symmetrical distribution. (b) Positively skewed distribution....

Q13 Briefly describe the following distribution shapes: [3 Marks] (a) Symmetrical distribution. (b) Positively skewed distribution. (c) Negatively skewed distribution. DO NOT WRITE THE ANSWERS - USE WORD FORMAT. NO PLAGIARISM IN THE ANSWERS PLEASE.

Which distribution will have a smaller standard deviation? The population distribution The sampling distribution As the...

Which distribution will have a smaller standard deviation? The population distribution The sampling distribution As the confidence level decreases the value of z for the confidence level gets: Smaller Larger Either smaller or larger but we can’t say which What is the value for z* for an 80% confidence interval for any given mean. Show all work. Round to two decimal places. Blood glucose levels for obese patients have a mean of 100 with a standard deviation of 15. A...

What is a sampling distribution? If we are considering the sample mean, how do we calculate...

What is a sampling distribution? If we are considering the sample mean, how do we calculate the standard error of the sample mean? If we are considering the sample proportion, how do we calculate the standard error of the sample proportion?

Describe the sampling distribution of ModifyingAbove p with caret. Assume the size of the population is...

Describe the sampling distribution of ModifyingAbove p with caret. Assume the size of the population is 15 comma 000. nequals200, pequals0.4 Choose the phrase that best describes the shape of the sampling distribution of ModifyingAbove p with caret below. A. Approximately normal because n less than or equals 0.05 Upper N and np left parenthesis 1 minus p right parenthesis less than 10. B. Not normal because n less than or equals 0.05 Upper N and np left parenthesis 1...

Question