Questions from Applied Statistics

Q: In CABG surgery, there is a .00014 probability of a

In CABG surgery, there is a .00014 probability of a retained foreign body (e.g., a sponge or a surgical instrument) left inside the patient. (a) In 100,000 CABG surgeries, what is the expected number...

Q: A biometric security device using fingerprints erroneously refuses to admit 1 in

A biometric security device using fingerprints erroneously refuses to admit 1 in 1,000 authorized persons from a facility containing classified information. The device will erroneously admit 1 in 1,00...

Q: Dolon Web Security Consultants requires all job applicants to submit to a

Dolon Web Security Consultants requires all job applicants to submit to a test for illegal drugs. If the applicant has used illegal drugs, the test has a 90 percent chance of a positive result. If the...

Q: A medical laboratory receives 40 blood specimens to check for HIV.

A medical laboratory receives 40 blood specimens to check for HIV. Eight actually contain HIV. A worker is accidentally exposed to five specimens. (a) Use Excel to calculate the entire hypergeometric...

Q: A test for ovarian cancer has a 5 percent rate of false

A test for ovarian cancer has a 5 percent rate of false positives and a 0 percent rate of false negatives. On average, 1 in every 2,500 American women over age 35 actually has ovarian cancer. If a wom...

Q: The amount of fill in a half-liter (500 ml

The amount of fill in a half-liter (500 ml) soft drink bottle is normally distributed. The process has a standard deviation of 5 ml. The mean is adjustable. (a) Where should the mean be set to ensure...

Q: The length of a certain kind of Colorado brook trout is normally

The length of a certain kind of Colorado brook trout is normally distributed with a mean of 12.5 inches and a standard deviation of 1.2 inches. What minimum size limit should the Department of Natural...

Q: Times for a surgical procedure are normally distributed. There are two

Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 28 minutes and a standard deviation of 4 minutes, while method B has a mean of 32 minutes and a s...

Q: The length of a brook trout is normally distributed. Two brook

The length of a brook trout is normally distributed. Two brook trout are caught. (a) What is the probability that both exceed the mean? (b) Neither exceeds the mean? (c) One is above the mean and o...

Q: A statistics exam was given. Calculate the percentile for each of

A statistics exam was given. Calculate the percentile for each of the following four students. a. John’s z-score was -1.62. b. Mary’s z-score was 0.50. c. Zak’s z-score was 1.79. d. Frieda’s z-score...