Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 10.2, Problem A.1RE
What is a
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4.96 The breaking strengths for 1-foot-square samples of a particular synthetic fabric are approximately normally distributed with a mean of 2,250 pounds per square inch (psi) and a standard deviation of 10.2 psi. Find the probability of selecting a 1-foot-square sample of material at random that on testing would have a breaking strength in excess of 2,265 psi.4.97 Refer to Exercise 4.96. Suppose that a new synthetic fabric has been developed that may have a different mean breaking strength. A random sample of 15 1-foot sections is obtained, and each section is tested for breaking strength. If we assume that the population standard deviation for the new fabric is identical to that for the old fabric, describe the sampling distribution forybased on random samples of 15 1-foot sections of new fabric
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Test d'égalité des espérances: observations pairées
A television news channel samples 25 gas stations from its local area and uses the results to estimate the average gas price for the state. What’s wrong with its margin of error?
Chapter 10 Solutions
Fundamentals of Biostatistics
Ch. 10.2 - What is a contingency table?Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Answer Problem 10.1 if a one-sided test with power...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Answer Problem 10.4 if compliance is as given in...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Consider the Physicians Health Study data...Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...
Ch. 10 - Gastroenterology Two drugs (A, B) are compared for...Ch. 10 - Sexually Transmitted Disease Suppose researchers...Ch. 10 - Cancer A 1980 study investigated the relationship...Ch. 10 - Ophthalmology Retinitis pigmentosa is a disease...Ch. 10 - Pulmonary Disease One important aspect of medical...Ch. 10 - Prob. 24PCh. 10 - Hepatic Disease Refer to Data Set HORMONE.DAT, at...Ch. 10 - Health Services Administration In the Harvard...Ch. 10 - Health Services Administration In the Harvard...Ch. 10 - Orthopedics A study was performed among subjects...Ch. 10 - Prob. 54PCh. 10 - Prob. 55PCh. 10 - Prob. 56PCh. 10 - Prob. 57PCh. 10 - Prob. 58PCh. 10 - Cancer A topic of current interest is whether...Ch. 10 - Cancer A topic of current interest is whether...Ch. 10 - Ophthalmology A 5-year study among 601...Ch. 10 - Prob. 74PCh. 10 - Prob. 77PCh. 10 - Prob. 87P
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- Suppose that you conduct a study twice, and the second time you use four times as many people as you did the first time. How does the change affect your margin of error? (Assume the other components remain constant.)arrow_forwardOut of a sample of 200 babysitters, 70 percent are girls, and 30 percent are guys. What’s the margin of error for the percentage of female babysitters? Assume 95 percent confidence.What’s the margin of error for the percentage of male babysitters? Assume 95 percent confidence.arrow_forwardYou sample 100 fish in Pond A at the fish hatchery and find that they average 5.5 inches with a standard deviation of 1 inch. Your sample of 100 fish from Pond B has the same mean, but the standard deviation is 2 inches. How do the margins of error compare? (Assume the confidence levels are the same.)arrow_forward
- A survey of 1,000 dental patients produces 450 people who floss their teeth adequately. What’s the margin of error for this result? Assume 90 percent confidence.arrow_forwardThe annual aggregate claim amount of an insurer follows a compound Poisson distribution with parameter 1,000. Individual claim amounts follow a Gamma distribution with shape parameter a = 750 and rate parameter λ = 0.25. 1. Generate 20,000 simulated aggregate claim values for the insurer, using a random number generator seed of 955.Display the first five simulated claim values in your answer script using the R function head(). 2. Plot the empirical density function of the simulated aggregate claim values from Question 1, setting the x-axis range from 2,600,000 to 3,300,000 and the y-axis range from 0 to 0.0000045. 3. Suggest a suitable distribution, including its parameters, that approximates the simulated aggregate claim values from Question 1. 4. Generate 20,000 values from your suggested distribution in Question 3 using a random number generator seed of 955. Use the R function head() to display the first five generated values in your answer script. 5. Plot the empirical density…arrow_forwardFind binomial probability if: x = 8, n = 10, p = 0.7 x= 3, n=5, p = 0.3 x = 4, n=7, p = 0.6 Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7, TRUE)). The part in the princess will give you the probability of seven and less than…arrow_forward
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