A laboratory technician is to be tested on identifying blood types from 9 standard classifications. Complete parts (A) and (B) below......(A) If 3 distinct samples are chosen at random from the 9 types and if the technician is not allowed to repeat any answers, what is the probability that all 3could be correctly identified by just guessing?Let the sample space S be the set of ways that the 3 distinct samples can be chosen from the 9 standard classifications. The number of elements in thesample space S is n(S)=|:(Type a whole number.)

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Answered: A laboratory technician is to be tested…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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True or False: Suppose I conducted a study using random assignment. This suggests that I took great effort to ensure that all of my subjects had an equal chance of being in either group.
A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 210 people who snore participating in the experiment. Using a table of random digits starting from the first row and column, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison. Which number range would be needed to label the subjects correctly? O 0-2 O 1-3 O 000-210 O 001-210
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. A) find the mean of p b)find the standard deviation of p c)Compute an approximation for P≥p0.0125, which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
The records of a light bulb manufacturer show that, when the manufacturing machinery is working correctly, the defect rate (due to imperfections in the material used) is 1%. The manufacturer's control department periodically tests samples of the bulbs, and when 1.25% or more are defective, they call repair technicians for service. The control department is going to take a random sample of 4400 light bulbs. Let p be the proportion of defective light bulbs in the sample assuming the machinery is working correctly. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p. (b) Find the standard deviation of p. (c) Compute an approximation for P(P ≥ 0.0125), which is the probability that, assuming the machinery is working correctly, the repair technicians will be called. Round your answer to four decimal places.
Alcohol and estrogen After menopause, some womentake supplemental estrogen. There is some concern thatif these women also drink alcohol, their estrogen levelswill rise too high. Twelve volunteers who were receivingsupplemental estrogen were randomly divided into twogroups, as were 12 other volunteers not on estrogen. Ineach case, one group drank an alcoholic beverage, theother a nonalcoholic beverage. An hour later, everyone’sestrogen level was checked. Only those on supplementalestrogen who drank alcohol showed a marked increase.
If samples of a fixed size N are drawn randomly and with replacement from the same population of scores, should we expect the sample means to differ across samples? why or why not?
. List the 10 possible samples (without replacement) of size 2 that can be obtained from the population of five officials. Lieutenant Governor (L) Secretary of State (S) Attorney General (A) Representative (R) Press Secretary (P) b. If a simple random sampling procedure is used to obtain a sample of two officials, what are the chances that it is the first sample on your list in part (a)? the secondsample? the tenth sample?
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 9 2 5 4 6 6 2 7 6 10 8 8 9 7 9 9 9 9 10 9 10 10 10 9 9 10 6 8 10 5 7 10 9 5 9 6 9 860 4 3 6 2 7 10 7 9 9 9 Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places. 9
Suppose we know that at a University XYZ that 30% of students receive an A in their introductory statistics class, 30% receive a B, 20% receive a C, 10% receive a D, and 10% receive an F. For comparison, a sample of 300 students at University ABC is taken and 20% received an A, 28% received a B, 26% received a C, 15% received a D, and the remaining students failed the class. When testing (at the 5% level of significance) whether the proportions between the two universities are different, what is the null and alternative hypotheses
9. The taste test for PTC (phenylthiourea) is a common class demonstration in the study of genetics. It is know that 70% of the American population are "tasters" and 30% are "non-tasters". Suppose a genetics class of size 20 does the test to see if they match the U.S. percentages of "tasters" and “non-tasters". Assume the assignment of students to classes is a random process. a. Use the binomial expansion formula to write the expression you would use to find P(X=15 tasters) but do not evaluate the expression. Answer: b. Evaluate the expression in part a using a calculator. Answer: c. Using the notation in part a.), write out all of the probabilities need to evaluate P(X < 5 non-tasters). Use your calculator to evaluate the probability. Answer: d. Explain what probabilities you would use to evaluate P(3 < X < 9) Answer:

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