It is common lore in the Adirondack mountain region of New York that Avon's Skin So Soft hand lotion is a very effective repellant for black flies, Simulium venustum. To test this claim volunteers applied fixed amounts of a commercial repellant, N,N- diethyl-meta-toluamide (DEET) 20% (Treatment I), or Skin So Soft hand lotion (Treatment II) to their hand and arm, placing it in a chamber with 50 hungry black flies. The time until first bite in minutes is recorded below. Treatment I 5, 14, 6, 8, 8, 15, 13, 2 Treatmentll 3, 7, 10, 49, 2, 38, 6, 9 Are the repellants significantly different in their efficacy? Analyze using the Wilcoxon rank-sum test.
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- A biochemist is testing the effect of a new antibiotic on a particularTo investigate water quality, the Columbus Dispatch took water specimens at 16 Ohio State Park swimming areas in central Ohio. Those specimens were taken to laboratories and tested for E. coli, which are bacteria that can cause serious gastrointestinal problems. For reference, if a 100-milliliter specimen (about 3.3 ounces) of water contains more than 130 E. coli bacteria, it is considered unsafe. The E. coli levels per 100 milliliters found by the laboratories are presented in the table: 291.0 10.9 47.0 86.0 44.0 18.9 1.0 50.0 190.4 45.7 28.5 18.9 16.0 34.0 8.6 9.6 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! Find the mean E. coli level. Mean E.coli level (rounded to two decimal places) per 100 mlA random sample of 1200 apples was taken from a large consignment and found that 10% of them are bad. The supplier claims that only 2% are bad. Test his claim.
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- A county environmental agency suspects that the fish in a particular polluted lake have elevated mercury levels. To confirm that suspicion, five striped basses in that lake were caught and their tissues were tested for mercury. For the purpose of comparison, four striped basses in an unpolluted lake were also caught and tested. The fish tissue mercury levels in mg/kg are given below. Sample I(From Polluted Lake) 0.523 0.723 0.523 0.623 0.523 Sample II(From Unpolluted Lake) 0.323 0.223 0.523 0.323 0.000 (a) Construct the 95% confidence interval for the difference in the population means based on these data. (b) Test, at the 5% level of significance, whether the data provide sufficient evidence to conclude that fish in the polluted lake have elevated levels of mercury in their tissue.Workers in the office like to drink coffee during work. A doctor is concerned about this situation since the too much coffee consumption may result to long-term health problems. However, studies suggests that there is no risk in drinking three cups of coffee per day, which is about 250 mg of caffeine. The doctor wants to know if the amount of caffeine consumed by the workers is within tolerable limits. He randomly selected 20 students and found that they consume an average of 270 mg of caffeine each day with a standard deviation of 48 mg. Assume that the daily amount of caffeine consumed by students follow the normal distribution.1. Which of the following sets of hypotheses should be used in this study? A. Ho: μ = 250 vs. Ha: μ > 250 B. Ho: μ ≤ 250 vs. Ha: μ > 250 C. Ho: μ = 270 vs. Ha: μ > 270 D. Ho: μ = 270 vs. Ha: μ ≠ 270 2. Which of the following is(are) TRUE? I. The appropriate test procedure to answer the objective of the study is a…In late July 2016, the Ohio Department of Health collected vials of water from 12 beaches on Lake Erie to investigate water quality. Those vials were being tested for E. coli bacteria which are found in human and animal feces and can cause illness and disease, should a swimmer accidentally ingest some water. These beaches had been found to be safe earlier in the summer with E. coli counts, on average of 88 per 100-millileter vial (about 3.4 ounces). However, E. coli counts can change due to weather and other variables. Experts consider it unsafe if a vial contains more than 88 E. coli bacteria. The mean E. coli count in the 12 vials was found to be 113.75 with a standard deviation of 93.9. Is this evidence that the water is unsafe? Test at the 1% level of significance. a) State the hypotheses. b) Find the test statistic and p-value. c) Based on your p-value, state whether or not you will reject the null hypothesis and a statement of your findings, relating back to the problem.