Tests were run on 10 mice, each having a tumor of size 4 grams, by varying the amount of the drug used and then determining the resulting reduction in the weight of the tumor. The data were as follows: Coded Amount of Drug 1 Tumor Weight Reduction 50 2 .90 3 1.20 4 1.35 1.50 1.60 5 6 1.53 8 1.38 1.21 10 .65 Estimate the maximum expected tumor reduction and the amount of the drug that attains it by fitting a quadratic regression equation of the form Y = Bo + B,x + Bzx² + e
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- A consumer group is investigating a producer of diet meals to examine if its prepackaged meals actually contain the advertised 6 ounces of protein in each package. Based on the following data, is there any evidence that the meals do not contain the advertised amount of protein? Run the appropriate test at a 5% level ofIn a study to estimate the proportion of smokers among the residents in a certain city and its suburbs, it is found that 24 of 104 urban residents aresmokers, while 34 of 108 suburban residents are smokers. Is there a significant difference between the proportions of smokers among urban and suburban residents? Make use of a P-value.The lower quartile (Q1) height for JV players is the same as the ______ for Varsity players.
- A sport psychologist wanted to test the extent to which daily intake of fat in grams, and amount of exercise (in minutes) can predict health m=(measured using a Body mass index {BMI} scale in which higher scores indicate poorer health. Using the da1ta below: Fat (grams) . Exercise (minutes). Health (BMI) 8. 34. 32 11. 10. 34 5. 50. 23 9. 15. 33 8. 35. 28 5. 40. 27 6. 20. 25 4 . 60. 22 -the psychologist concluded exercise did not provide any additional information because a.) R2 = .923 b.) Adjusted R2 =.853 c.) B= -.017 d.) F change = .045;…Natalie conducted a study on the effects of triclosan on three algae populations. She collected an algae sample from three different ponds, counted the number of algae cells present in the sample, and then exposed them to a 5 ppm aqueous solution of triclosan and re-counted the number of algae cells in each sample. Using a paired t-test, she obtained a p-value of 0.083 when comparing the original algae population sizes to the population sizes after exposure to triclosan. Natalie concluded that triclosan is toxic to algae because her data for the three samples showed a trend toward a reduction in population size. What could Natalie do to show a statistically significant effect of triclosan on algae population size? Justify your response.A poll of 700 frequent and occasional fliers found that 450 respondents favored a ban on cellphones in flight, even if technology permits it. At α = .05, can we conclude that morethan half the sampled population supports a ban?
- 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 6…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 3 3 4 6 New Drug 1 2 3 3 7A 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 6 New Drug 1 2 2 3 7Old Drug New Drug Total Sample(Ordered Smallest to Largest) RanksOld Drug New Drug Old Drug New DrugR1= R2= A) We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05 level because the calculated U value of 12.5 is greater than the critical U value of 2.B) We reject H0 in favor of H1, which states the two populations are not equal at the alpha equals .05…
- 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 3 3 4 6 New Drug 1 2 3 3 7 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug…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 3 3 4 6 New Drug 1 2 3 3 7 Old Drug New Drug Total Sample (Ordered Smallest to Largest) Ranks Old Drug New Drug Old Drug New Drug…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 6…