Answered: (a) How many different samples are…

(a) How many different samples are possible? (b) How many samples of five contain exactly one nonconforming chip? (c) How many samples of five contain at least one nonconforming chip?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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28) A study published in the American Journal of Public Health was conducted to determine whether the use of seat belts in motor vehicles depends on ethnic status in San Diego County. A sample of 792 children treated for injuries sustained from motor vehicle accidents was obtained, and each child was classified according to (1) ethnic status (Hispanic or non-Hispanic) and (2) seat belt usage (worn or not worn) during the accident. The number of children in each category is given in the table below. Seat belts worn Seat belts not worn Hispanic 31 283 Non-Hispanic 148 330 Referring to these data, which of the following conclusions should be reached if the appropriate ni hypothesis is conducted using an alpha = .05 level? Tuoria enolzubaos griwollet Jo bidw ,20, of A) There is no relationship between whether someone is Hispanic and whether they wear a seat da srli to nabreg neowisd qilarrodslets al sist bel B) The use of seat belts and whether a person is Hispanic or not is statistically…
(2) If 1-in-10 systematic sample is to be chosen, what is the prob. that the first 3 families of sizes 10, 4, 9 will be the chosen sample?
2. A calibration study needs to be conducted to see if the readings on 15 test machines are giving similar results. In how many ways can 5 of the 15 machines be selected for the initial investigation?
When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 25% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 51 of the dragon eggs to incubate. Consider all the possible samples of 51 dragon eggs.What is the usual number of yellow eggs in samples of 51 eggs? (Give answers as SENSIBLE whole numbers.)minimum usual number of yellow eggs = maximum usual number of yellow eggs =
2Not long after being put into service, some electric scooters manufactured with a certain brandhave developed cracks on the underside of their main frame. Suppose a particular collegecampus has 25 such scooters, and cracks have actually appeared in eight of them.a. How many ways are there to select a sample of five scooters from the 25 for thoroughinspection?b. In how many ways can a sample of five scooters contain exactly four with visible cracks?c. If a sample of five scooters was chosen at random, what is the probability that exactlyfour of the five will have visible cracks?d. If scooters are selected as in part c, what is the probability that at least four of thoseselected will have visible cracks?
4. A newspaper story claims that more houses are purchased by singles now than singles 5 years ago. To test this claim, two studies were conducted on the buying habits of singles over the past 5 years. In the first study, 200 house purchases in the current year were randomly selected and 80 of those were made by singles. In the second study, again 200 house purchases were randomly selected from 5 years ago and 57 of those were made by single people. Test the newspaper's claim using a 0.05 level of significance. Is there sufficient evidence to support the newspaper's claim? Let singles now be Population 1 and let singles 5 years ago be Population 2. Step 1. State the null and alternative hypotheses for the test. Fill in the blank below. A) Step 2. Compute the value of the test statistic. Round your answer to two decimal places. Step 3. Draw a conclusion and interpret the decision. A) We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.05 level…
26) A phycologist is interested in determining the proportion of algae samples from a local rivulet that belonged to a particular phylum. A random sample of 50 algae was obtained and each alga was categorized as either being cyanobacteria or not. It was found that 38 were, in fact, cyanobacteria. a) The proportion p that was cyanobacteria isA. 38B. 0.38C. 0.5D. 0.76E. 50 b) (Continue from the previous question),What is the standard error of the proportion p, i.e. S.E.(p), that were cyanobacteriaisA. 0.0036B. 0.0604C. 0.0684D. 0.1824E. None of the above
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9. In order to investigate a rumor that there is a greater than expected number of girls among the children of chemists, Science magazine conducted an informal survey of eight chemistry departments. A secretary in the chemistry department at Indiana University, Bloomington, thought there might be something to this rumor and made sure that every one of the 34 faculty members in her department who have children responded to the Science survey. Altogether these Indiana chemists have 53 (56%) girls and 41 (44%) boys. Is this evidence that chemists produce more girl babies than expected? What kind of data would you prefer before drawing this type of conclusion? Explain how your idea would make the evidence produced more convincing.
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When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 23% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 43 of the dragon eggs to incubate. Consider all the possible samples of 43 dragon eggs.What is the usual number of yellow eggs in samples of 43 eggs? (Give answers as SENSIBLE whole numbers.) minimum usual number of yellow eggs = maximum usual number of yellow eggs =
5) Accounting data for sales showed that in randomly selected 15 stores the quantities of products sold are: 509, 517, 502, 629, 830, 911, 847, 803, 727, 853, 757, 730, 774, 718, 904 Unsatisfied with those results, a company decided to start advertising campaign. After the campaign finished, the number of products sold in these same stores were: 517, 508, 523, 730, 821, 940, 818, 821, 842, 842, 709, 688, 787, 780, 901 Did the advertising campaign produce statistically significant results?