Ten tablets are available for analysis, but because of time restrictions the scientist will only be able to sample three tablets. How many possible ways can these tablets be sampled if repetitions are not allowed?
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Ten tablets are available for analysis, but because of time restrictions the scientist will only be able to sample three tablets. How many possible ways can these tablets be sampled if repetitions are not allowed?
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- A new cold medication claims that, on average, individuals who take the medication recover within 5 days. Dr. Nelson believes the recovery time is longer. She surveys 31 people with colds who take the medication. She finds that their recovery time, in days, is as follows: 7, 5, 4, 8, 5, 5, 4, 4, 5, 5, 6, 4, 4, 5, 4, 7, 5, 7, 4, 6, 4, 3, 5, 7, 8, 4, 7, 4, 6, 4, 6 Perform a hypothesis test using a 9% level of significance. Step 1: State the null and alternative hypotheses. H.: pv >v (So we will be performing a right-tailed Vv test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are t-distributed v with distribution mean and distribution standard deviation Step 3: Find the p-value of the point estimate. P( 2v = P(tv 2v %3D p-value = Step 4: Make a Conclusion About the null hypothesis. Since the p-value = = a, we do not reject the…Suppose you have traveled back in time to March 2020 and we are interested in finding out how many people currently have COVID-19. Use your understanding of the statistics to explain what we would need to do to find out how many people in America currently have Covid-19 (i.e. explain how statistical concepts would be able to help with this task.)A medical researcher wishes to try three different techniques to lower cholesterol levels of patients with high cholesterol levels. The subjects are randomly selected and assigned to one of three groups. Group 1 is given medication, Group 2 is given an exercise program, and Group 3 is assigned a diet program. At the end of six weeks, each subject's cholesterol level is recorded. Test the hypothesis that there is no difference among the means. Use a= 0.05
- 57% of all the town's residents own a dog and 66% own a cat. Of the dog owners 49% also own a cat. If a town resident is chosen at random find: (round to 4 decimal places where possible) a. P(Own a Dog) = b. P(Own a Cat) = c. P(Own a Cat and a Dog) = d. P(Own a Dog GIVEN Own a Cat) =In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 331 trials, the touch therapists were correct 159 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or decial. Do not round)In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 625 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(P >0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 X
- In a political poll, approximately 3/25 of the people asked preferred candidate A in the upcoming election . If 30,500,000 people were asked , how many of these preferred candidate A ?In a science fair project, Emily conducted an experiment in which she tested professional touch therapists to see if they could sense her energy field. She flipped a coin to select either her right hand or her left hand, and then she asked the therapists to identify the selected hand by placing their hand just under Emily's hand without seeing it and without touching it. Among 312 trials, the touch therapists were correct 151 times. Complete parts (a) through (d). a. Given that Emily used a coin toss to select either her right hand or her left hand, what proportion of correct responses would be expected if the touch therapists made random guesses? (Type an integer or a decimal. Do not round.) b. Using Emily's sample results, what is the best point estimate of the therapists' success rate? (Round to three decimal places as needed.) c. Using Emily's sample results, construct a 90% confidence interval estimate of the proportion of correct responses made by touch therapists.Do lizards play a role in spreading plant seeds? Some research carried out in South Africa would suggest so. Researchers on a study collected 400 seeds of a particular type of fig, 100 of which were from each treatment: lizard dung, bird dung, rock hyrax dung, and uneaten figs. They planted these seeds in batches of 5, and for each group of 5 they recorded how many of the seeds germinated. This resulted in 20 observations for each treatment. The treatment means and standard deviations are given in the accompanying table. Treatment Uneaten figs 20 2.50 0.29 Lizard dung 20 2.40 0.32 Bird dung 20 1.80 0.35 Hyrax dung 20 1.40 0.29 (a) Construct the appropriate ANOVA table. (Use technology. Round your answers to three decimal places.) Degrees of freedom Source of Sum of Mean F Ratio F Prob variation squares squares Between Groups Within Group Total 79 Test the hypothesis that there is no difference between mean number of seeds germinating for the four treatments. (Use a significance level…An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 10 6 8 10 6 3 10 3 8 After 6 7 4 4 8 6 4 9 3 7 Copy Data Step 2 of 3:…How would you conduct a sample of people in your community so that you could see which flavors are most popular? Give specific details of how you would collect your data, and state how many responses would be sufficient.An anger-management course claims that, after completing its seminar, participants will lose their tempers less often. Always a skeptic, you decide to test this claim. A random sample of 12 seminar participants is chosen, and these participants are asked to record the number of times that they lost their tempers in the two weeks prior to the course. After the course is over, the same participants are asked to record the number of times that they lost their tempers in the next two weeks. The following table lists the results of the survey. Using these data, test the claim at the 0.01 level of significance assuming that the population distribution of the paired differences is approximately normal. Let participants before completing the anger-management course be Population 1 and let participants after completing the anger-management course be Population 2. Number of Times Temper Was Lost during a Two-Week Period Before 6 7 10 11 8 12 9 8 3 7 11 12 After 5 5 11 8 8 8 6 9 4 6 9 12…SEE MORE QUESTIONS