Math Statistics
posted by TCaesar .
3. Suppose 20% of all heart transplant patients do not survive the operation.
a. Think about taking repeated random samples of 371 patients from this population.
Describe how the sample proportion who die would vary from sample to sample. (Hint: Be sure to refer to the shape, center, and spread of its sampling distribution.) Also include a welllabeled sketch to represent this distribution.
b. Suppose you take a random sample of 371 heart transplant patients. Determine the probability that the sample proportion who die would be .213 or higher.
4. Suppose I tell you that I flipped a coin multiple times and got 75% heads. Would you be reasonably convinced that this was not a fair coin (where “fair” means that the coin has a 50/50 chance of landing heads or tails)? If so, explain why. If not, describe what additional information you would ask for and explain why that information is necessary.
5. The distribution of house prices is skewed to the right because most houses cost a modest amount but a few cost a very large amount. If you take a random sample of 1000 houses, can you reasonably expect the distribution of the house prices to be approximately normal? Explain your answer.
6. Suppose you flip a fair coin until it lands heads up for the first time. It can be shown (do not try to calculate this) that the expected value of the number of flips required is 2. Explain (with a sentence or two) what this expected value means in this context.
Respond to this Question
Similar Questions

statistics
A new treatment for AIDS is to be tested in a small clinical trial on 15 patients.The proportion p^ who respond to the treatment will be used as an estimate of the proportion p of (potential)responders in the entire population of AIDS … 
statistics
The scores of students on the ACT college entrance examination in a recent year had a normal distribution with a mean of 18.6 and a standard deviation of 5.9. A simple random sample of 50 students who took the exam is selected for … 
Statistics
A survey claims that 9 out of 10 doctors recommend Aspirin for their patients who have children. To test this claim against an alternative that the actual proportion of doctors who would do this is less than the claimed, a random sample … 
statistics
Suppose a new treatment for a certain disease is given to a sample of n=200 patients. The treatment was successful for 166 of the patients. Assume these patients are representative of the population of individuals who have this disease. … 
stor
Twitter: Suppose that the population proportion of Internet users whosay they use Twitter or a similar service to post updates about themselves or to see updates about others is 19%. Think about selecting random samples from a population … 
statistics
A study involving the economic burden of congestive heart failure found that the lengths of hospital stays for patients had a mean of 7.8 days with a standard deviation of 9.1 days. For random samples of size 40, find the sample mean … 
statistics
A doctor wants to know if her patients are happy with her. She decides to survey a sample of her clients. What method would be best for choosing a random sample that is a fair representation of her patients? 
statistics
4.2. A new drug that treats patients with anxiety has a 60% success rate in improving the patient’s condition. For a random sample of eight patients taking this drug, determine the probability that: 4.2.1. Four patients have improvement … 
Business statistics
A new drug that treats patients with anxiety has a 60% success rate in improving the patient’s condition. For a random sample of eight patients taking this drug, determine the probability that: 4.2.1. four patients have improvement … 
statistics
The survival rate during a risky operation for patients with no other hope of survival is 81%. What is the probability that exactly four of the next five patients survive this operation?