A population of 80 rats is tested for 4 genetic mutations after exposure to some chemicals: mutation A, mutationB, mutation C, and mutation D. 43 rats tested positivefor mutation A. 37 rats tested positive for mutation B. 39 rats tested positive for mutation C. 35 rats tested positivefor mutation D. One rat tested positive for all fourmutations. 5 rats tested positive for mutations A, B, and C. 4 rats tested positive for mutations A, B, and D. 6 ratstested positive for mutations A, C, and D. 3 rats testedpositive for mutations B, C, and D. 64 rats tested positive for mutations A or B. 63 rats tested positive formutations A or C. 59 rats tested positive for mutations A or D.58 rats tested positive for mutations B or C. 59 rats tested positive for mutations B or D. 60 tested positive formutations C or D. 8 rats did not show any evidence ofgenetic mutation.What is the probability that if 5 rats are selected at random, 3 will have exactly 2 genetic mutations?Round your answer to five decimal places. This template might help:Venn Diagrams-eagereyes

Given information, A population of 80 rats is tested for 4 genetic mutations after exposure to some…

Answered: A population of 80 rats is tested for 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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In a large clinical trial, 390,341 children were randomly assigned to two groups. The treatment group consisted of 196,902 children given a vaccine for a certain disease, and 28 of those children developed the disease. The other 193,439 children were given a placebo, and 89 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n,, p1, 91, n2. P2, 92, P, and q. n, = (Type an integer or a decimal rounded to eight decimal places as needed.) (Type an integer or a decimal rounded to eight decimal places as needed.) n2
This is my output from SPSS [attatched] and I need to make a results section for it for this study: Single Sample: A cognitive psychologist believes that a particular drug affects short-term memory. The drug is safe, with no side effects. An experiment is conducted in which 8 randomly selected subjects are given the drug and then given a short time to memorize a list of 10 words. The subjects are then tested for retention 15 minutes after the memorization period. The number of words correctly recalled by each subject is as follows: 8,9,10,6,8,7,9,7. Over the past few years, the psychologist has collected a lot of data using this task with similar subjects and has obtained a mean of 6 words correctly recalled (the data were normally distributed). I cannot remember - what I need to do with these outputs to determine statistical significance? and where I need to read to know the effect size? Here is the example results section given by the instructor: A single sample t test was…
People who have infectious mononucleosis (mono) test positive for the virus on a heterophile test. A man who does not have mono but is merely tired and nursing a cold takes the heterophile test, and the test result is positive. What type of error has been made (type 1 or type 2), and why
YMCA has a new swimming instructor (Teacher 1) is being evaluated by how many of his students pass a standard swimming test. Of his 30 students, 17 pass the test. However, the more experienced instructor (Teacher 2); who taught 85 students had 62 pass the test. Is this enough evidence to show that the pass rate for (Teacher 1) students is lower than that of (Teacher 2) students? (Use alpha .10)
20. Which of the following is a null hypothesis? a. Pregnant women who drink cranberry juice will have lower urine bacterial counts than those who do not drink cranberry juice. b. The urine bacterial count of pregnant women who drink cranberry juice will be lower or equal to that of pregnant women who do not drink the juice. c. There will be a difference between ingestion of cranberry juice and among pregnant women who do and do not have high urine bacterial counts.
A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region I gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 2 8 8 8 6 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 1 1 5 1 4 8 5 4 4 4 2 2 5 6 9 (i) Use a calculator with sample mean and sample standard deviation keys to calculate x1 and s1 in region I, and x2 and s2 in region II. (Round your answers to two decimal places.) x1 = s1 = x2 = s2 = (ii) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance. (Assume the distribution of rabies cases in both regions is…
A study of fox rabies in southern Germany gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region 1 gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 3 7 8 7 5 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 4 2 4 1 3 8 5 4 4 4 2 2 5 6 9 Note: If a two-sample t-test is appropriate, for degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.Use a calculator with sample mean and sample standard deviation keys to find x1 and s1 in region I, and x2 and s2 in region II. (Round your answers to two…
A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of n1 = 16 locations in region I gave the following information about the number of cases of fox rabies near that location. x1: Region I Data 1 9 9 9 7 8 8 1 3 3 3 2 5 1 4 6 A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location. x2: Region II Data 1 1 5 1 6 8 5 4 4 4 2 2 5 6 9 What is the value of the sample test statistic? (Test the difference μ1 − μ2. Do not use rounded values. Round your final answer to three decimal places.)
Suppose a group of 900900 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 356356 patients who received the antidepressant drug, 113113 were not smoking one year later. Of the 544544 patients who received the placebo, 203203 were not smoking one year later. Given the null hypothesis ?0:(?1−?2)=0H0:(p1−p2)=0 and the alternative hypothesis ??:(?1−?2)≠0H, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ?=0.01(a) The rejection region is |?|>(b) The test statistic is ?=zThe final conclustion is
16) Tartar is a combination of plaque and minerals from saliva that harden on the surface of teeth. A dentist plans to conduct a study to investigate the following claim made by a toothpaste manufacturer. Toothpaste L is less effective at preventing tartar buildup on teeth than Toothpaste M. The dentist will randomly assign 200 volunteers to use one of two toothpastes, with 100 assigned to use Toothpaste L each day and the remaining 100 assigned to use Toothpaste M each day. Before the study begins, each person will receive a teeth cleaning to remove any tartar buildup. After one month, the dentist will measure the tartar buildup of each person and the number of people who have tartar buildup will be recorded for each toothpaste. The following segmented bar graph shows the results of the study. Toothpaste L 85 15 Tartar buildup O No tartar buildup Toothpaste M 68 32 0.2 0.4 0.6 0.8 1.0 Relative Frequency a) For the 200 volunteers in the study, is there support for the manufacturer's…
3. The paper "Effects of Caffeine on Repeated Sprint Ability, Reactive Agility Time, Sleep and Next Day Performance"† describes an experiment in which male athlete volunteers who were considered low caffeine consumers were assigned at random to one of two experimental groups. Those assigned to the caffeine group drank a beverage which contained caffeine 1 hour before an exercise session. Those in the no-caffeine group drank a beverage that did not contain caffeine 1 hour before an exercise session. That night, participants wore a device that measures sleep activity. The researchers reported that there was no significant difference in mean sleep duration for the two experimental groups. In the context of this experiment, explain what it means to say that there is no significant difference in the group means. A) The difference in mean sleep duration for the caffeine and no-caffeine groups could have occurred by chance just due to the random assignment, assuming there is a real difference…

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