Question 16 When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 26% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 46 of the dragon eggs to incubate. Consider all the possible samples of 46 dragon eggs. What is the usual number of yellow eggs in samples of 46 eggs? (Give answers as SENSIBLE whole numbers.) minimum usual number of yellow eggs - maximum usual number of yellow eggs -

Question 16 When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 26% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 46 of the dragon eggs to incubate. Consider all the possible samples of 46 dragon eggs. What is the usual number of yellow eggs in samples of 46 eggs? (Give answers as SENSIBLE whole numbers.) minimum usual number of yellow eggs - maximum usual number of yellow eggs -

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Description: Question 16<.When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observedover the years that 26% of the eggs are yellow, and the rest green. Next spring the lead scientist haspermission to randomly select 4

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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A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456bchildren randomly assigned the vaccine, 58 got the virus. Of the 1606 children randomly assigned the placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of 0.01.The first few steps of the hypothesis-testing procedure are given. Complete the procedure.
Using the same question from #3 A survey is done to find out the favorite movies of 500 children. The children are categorized into male and female, and a sample of 50 children is chosen. Answer the following question: If the number of female children is 300, what is the sample size of each stratum? a male sample: 40 and female sample: 10 b male sample; 25 and female sample: 25 c male sample: 30 and female sample: 20 d male sample: 20 and female sample: 30
2. In a population it is estimated that 20% have a desired trait of interest for the researcher. The researcher wants to know how many people on average he has to draw from a population to get 2 people with the trait. Use rows 20-24 of the Random Number Table to carry out the simulation. Explain clearly how you set up the problem and report your findings. Answer:
A random sample of 10 compact cars, 10 mid-size cars, and 10 luxury cars were selected. The time (in seconds) each of the randomly selected cars required to accelerate from 0 to 60 mph was looked up on the Autos.com website. The results are presented below. Car Type Time (in seconds) Required to Accelerate from 0 to 60 mph Compact 9.3 8.1 10.2 8.8 9.0 9.3 7.7 9.2 9.4 8.6 Mid-Size 6.9 5.7 8.3 7.7 8.6 5.9 6.1 8.8 6.1 7.2 Luxury 5.7 6.3 5.4 4.7 6.2 7.0 5.9 5.3 6.3 5.0 Conduct a hypothesis test using ! = 0.05 to determine whether the mean time required to accelerate from 0 to 60 mph is the same for compact, mid-size, and luxury cars. (No accounting or excel, I need help solving it.)
1.18 Cats on YouTube. Suppose you want to estimate the percentage of videos on YouTube that are cat videos. It is impossible for you to watch all videos on YouTube so you use a random video picker to select 1000 videos for you. You find that 2% of these videos are cat videos. Determine which of the following is an observation, a variable, a sample statistic (value calculated based on the observed sample), or a population parameter
2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.
The safety director of a large steel mill took samples at random from company records of minor work-related accidents and classified them according to the time the accident took place. Time Number of Accidents Time Number of Accidents 8 up to 9 a.m. 10 1 up to 2 p.m. 11 9 up to 10 a.m. 9 2 up to 3 p.m. 12 10 up to 11 a.m. 12 3 up to 4 p.m. 7 11 up to 12 p.m. 6 4 up to 5 p.m. 11 Click here for the Excel Data File Using the goodness-of-fit test and the 0.10 level of significance, determine whether the accidents are evenly distributed throughout the day. H0: The accidents are evenly distributed throughout the day.H1: The accidents are not evenly distributed throughout the day. a. State the decision rule, using the 0.10 significance level. (Round your answer to 3 decimal places.) b. Compute the value of chi-square. (Round your answer to 3 decimal places.) c. What is your decision regarding H0?
A certain virus affects 0.7% of the population. A test used to detect the virus in a person is positive 87% of the time if the person has the virus (true positive) and 14% of the time if the person does not have the virus (false positive). Fill out the remainder of the following table and use it to answer the two questions below based on a total sample of 100,000 people. Virus No Virus TotalPositive Test Negative Test Total 100,000a) Find the probability that a person has the virus given that they have tested positive. Round your answer to the nearest hundredth of a percent and do not include a percent sign. % b) Find the probability that a person does not have the virus given that they test negative. Round your answer to the nearest hundredth of a percent and do not include a percent sign. %
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many other factors influence crime rate. Let x be a variable that represents student enrollment (in thousands) on a university campus, and let y be a variable that represents the number of burglaries in a year on the university campus. A random sample of n = 8 universities in California gave the following information about enrollments and annual burglary incidents.x 12.3 28.6 24.5 14.3 7.5 27.7 16.2 20.1y 23 72 39 23 15 30 15 25 a) Compute r. (Round your answer to four decimal places.)
1. A dog groomer is often asked if small dogs bark more than larger dogs. To test this, he logs the number of separate barking episodes per day for three size dogs: small, medium, and large. In a separate file you will find the number of barking episodes for 12 dogs. On average, small dogs barked the most Mean: 7.25 On average, medium sized dogs barked the least Mean: 2.75 A. Do the different size dogs bark a significantly different number of times? Test with an α = 0.05. B. If appropriate, use Tukey’s HSD post hoc test and report where the differences are. If inappropriate, state why. C. Calculate and interpret the effect size.
Samuel F.B. Morse (1791-1872), the creator of the Morse Code, claimed that 12 % of all letters used in English language were "e"s. Suppose random samples of 196 letters are selected from a book. Use this information to answer question below.
A researcher wants to compare scores on two different IQ tests (A and B). Six randomly selected people take test A on one day and then they take test B the next day. The data is in the following table: