In order to study the amount of saving and income of two populations of employees (boys and girls), two samples of twenty observations are drawn from each population, and the data is given below. Questions: 1. Can you develop a suitable hypothesis to compare between the two populations? 2. Discuss the following question without computations: Is it possible to compare between the means of the two populations? How it can be done? 3. Assume a=0.05;0.1 and interpret your results and give your conclusions.
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- Consider the following: In general, when people diet they typically lose 10 lbs. (?σ = 2). A random sample of 16 people on the keto diet lost 15 lbs. Do people on the keto diet lose more or less weight than people on diets in general? 4. What is the research hypothesis? a) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar = Mu) b)Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar = Mu) c) Weight loss in the keto diet sample does not differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu) d) Weight loss in the keto diet sample does differ from weight loss in the population of dieters in general (H1: X-bar does not equal Mu)A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. Let p = the true proportion of times the dime would land on heads when spun. Under the assumption that the true proportion is 0.5, 100 simulated proportions for samples of size 25 is shown in the dotplot. Using the dotplot, is there evidence that the proportion of times a spun dime lands on heads is greater than 0.5? A) Yes, a proportion of 0.68 proves that the true proportion of heads is greater than 0.5. B) Yes, a proportion of 0.68 only occurred once out of 100 simulated proportions; therefore, there is sufficient evidence that the true proportion of heads is greater than 0.5. C) No, a proportion of 0.68 is only 0.18 more than 0.5; therefore, there is insufficient evidence that the true proportion of heads is greater than 0.5. D) No, a proportion of 0.68 or more occurred 7 times out of 100 simulated…Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and an SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead. Explicitly state and check all conditions necessary for inference on these data. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration…
- . The term sample usually refers to a sample that ___ - Consists of people with chemical dependency problems - Uses the same group of individuals with a before/after measurement - Requires a dependent variable for hypothesis testing - Is randomly selected from two dependent populationsSuppose we take a sample of 2,500 blood donors from a population for which 50% (0.5) have type O+ blood. (a) Into what range of possible values should the sample proportion fall 95% of the time, according to the Empirical Rule? to (b) If the sample included only 625 donors instead of 2,500, would the range of possible sample proportions be wider, more narrow, or the same as with a sample of 2,500 donors? Explain your answer, and explain why it makes intuitive sense. The range would be with 625 donors compared to a sample of 2,500 donors since the standard deviation of the sampling distribution would be . This makes intuitive sense because if fewer donors are included in the sample, the proportion will be reliable as an estimate of the proportion.1. A new drug for pain relief is being tested within a given palliative care population. The new drug is being compared to an already approved pain relief drug that is commonly used in providing palliative care to patients who experience chronic severe pain. Assume the patients are asked to rate the pain on a scale from 1 to 10, and the data presented below was obtained from a small study designed to compare the effectiveness of the two drugs. Set up and interpret the results of a Mann-Whitney U test with an alpha of .05.Pain Rating as Reported by PatientsOld Drug 1 3 3 4 6 New Drug 1 2 3 3 7 A) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated U value of 10.5 is greater than the critical U value of 2.B) We fail to reject H0, which states the two populations are equal at the alpha equals .05 level because the calculated U value of 14.5 is greater than the critical U value of 2.C) We reject H0 in favor of H1, which…
- 1. A new drug for pain relief is being tested within a given palliative care population. The new drug is being compared to an already approved pain relief drug that is commonly used in providing palliative care to patients who experience chronic severe pain. Assume the patients are asked to rate the pain on a scale from 1 to 10, and the data presented below was obtained from a small study designed to compare the effectiveness of the two drugs. Set up and interpret the results of a Mann-Whitney U test with an alpha of .05.Pain Rating as Reported by PatientsOld Drug 1 2 2 4 6New Drug 1 2 2 3 7Total Sample(Ordered Smallest to Largest)RanksOld Drug New DrugOld Drug New Drug Old Drug New Drug1 1 1 1 1.5 1.52 2 2 2 4.5 4.52 2 2 2 4.5 4.51. A new drug for pain relief is being tested within a given palliative care population. The new drug is being compared to an already approved pain relief drug that is commonly used in providing palliative care to patients who experience chronic severe pain. Assume the patients are asked to rate the pain on a scale from 1 to 10, and the data presented below was obtained from a small study designed to compare the effectiveness of the two drugs. Set up and interpret the results of a Mann-Whitney U test with an alpha of .05. Pain Rating as Reported by Patients Old Drug 1 2 2 4 6 New Drug 1 2 2 3 7 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug 1 1 1 1 1.5 1.5 2 2 2 2 4.5 4.5 2 2 2 2 4.5 4.5 4 3 3 7 6 7 4 8…QUESTION 19 To study whether the students at a university are more or less satisfied with the current food service compared to the previous food service, a sample of 90 current students is taken and finds that 37 are satisfied with the current food service. A similar survey was taken for the previous food service in which 89 students surveyed found that 40 were satisfied with the previous food service. When testing the hypothesis (at the 5% level of significance) a higher percentage of students were satisfied with the previous food service than with the current food service, what is the test statistic? (please round your answer to 2 decimal places)
- Mendel counted 4000 peas from a dihybrid cross and predicted a 9:3:3:1 phenotypic ratio with the following results. Yellow and smooth peas 2100; yellow and wrinkled peas 700: green and smooth peas 859 and green and wrinkled peas 341. Support or refute these data with a CHI-Square analysis. State the Null hypothesis and its outcome for this set of data.Question #4. US Universities found that 72% of people are concerned about the possibility that their personal records could be stolen over the Internet. If a random sample of 300 college students at a Midwestern university were taken and 228 of them were concerned about the possibility that their personal records could be stolen over the Internet, could you conclude at the 0.025 level of significance that a higher proportion of the university's college students are concerned about Internet theft than the public at large? Report the p-value for this test. Z0.025 = 1.96A U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 Formulate a hypothesis so that, if the null hypothesis is rejected, we can conclude that the average amount of beef eaten annually by consumers in Illinois is significantly less than that eaten by consumers in Texas.