In two towns A and B, the following information was supplied by an investigator: Total population (in thousands) (,) (,) (,) Town A 240 40 40 Town B 234 34 Literates Illiterate criminals Literate criminals 20 Compare the degree of association between literacy and crime in each of the two towns.
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- An analysis was conducted by the Statistics Consulting Center atVirginia Polytechnic Institute and State University in which acertain treatment was applied to a set of tree stumps. The chemicalGarlon was used the with the purpose of regenerating the roots ofthe stumps. A spray was used with four levels of GarlonPage 23 of 23concentration. After a period of time the height of the shoots wasobserved. Does the concentration of Garlon has a significantimpact on the height of the shoots? Use α = 0.05.There's a new treatment for addiction and because resources are limited, a program decides it can offer it only to those people whose ASI scores are in the top 10% of scores. What raw score on the ASI would a person have to have to be eligible for the program?Suppose a researcher is interested in the relationship between periodontal disease and a number of negative health outcomes. One outcome of particular interest to the researcher is hypertension (assume defined as systolic blood pressure above 140 mmHG). Suppose a team gathers a SRS of 348 participants with periodontal disease, and finds the sample average systolic blood pressure to be 157 mmHG. A) Using an assumed σ=16 mmHG, conduct a 1 sample Z test to determine if there is a relationship between periodontal disease and hypertension in this population. (Use α=0.05)
- 1) A cement producer, manufactures and then fills 40kg-bags of powder cement on twodistinct production tracks located in separate suburbs. To determine whether differencesexist between the average fill rates for the two tracks, a random sample of 25 bags fromTrack 1 and a random sample of 16 bags from Track 2 were recently selected. Each bag’sweight was measured and the following information measures from the samples arereported:Production ProductionTrack 1 Track 2n1 = 25 n2 = 16x2 = 40.02 x1 = 39.87 s1 = 0.59 s2 = 0.88 Supervision believes that the fill rates of the two tracks are normally distributed with equalvariances.Construct a 95% confidence interval estimate of the true mean difference between the twotracks.--------------------------------------------------------------------------------------------------------------2) Two independent simple random samples were selected from two normallydistributed populations with unequal variances yielded the following information:Sample 1…A researcher uses an anonymous survey to track the number of salmon caught in Gaspe. Based on a set of 115 surveys distributed to a select few of the many hundreds of anglers who fished Gaspe, it was determined that anglers caught an average of 2.3 salmon per week. For this study, the average of 2.3 salmon per week is an example of which one statistic parameter. population sampleA group of students in Methods of Social Research wanted to study the relationship between GPA and participation in athletics among ENC traditional undergraduates. Other researchers have found that students involved in Division III athletics often have higher GPAs than the rest of the student body, so the group of students in Methods wanted to know whether this was true for ENC students. They were able to gather data on 160 ENC students (80 athletes and 80 non-athletes) and found that, among this group, the 80 athletes had slightly higher GPAs on average than the 80 students who were not athletes. In this study, who makes up the sample? Who makes up the population? Suppose they found in the sample data that the overall GPA for ENC athletes was 3.35 and for the ENC non-athletes was 3.21. Are these statistics or parameters?
- A diabetic nurse seeks to assess the prevalence of type 2 diabetes among women in a population (age 18 to 80 years). She conveniently sampled 100 women attending antenatal care and asked them whether they had hypertension. Of the 100 pregnant women sampled, 50 consented to take part in the study and 1 had diabetes. Based on this finding, the nurse concluded that “the prevalence of diabetes among women in the population is low (2%).” A) Do you agree with the conclusion made by the diabetic nurse? Justify in not more than 100 words? B) Would you have conducted such a study differently if you had all the resources at hand (Describe in not more than 75 words).In a cohort study, men were classified as having high or low cholesterol levels. Among the group with low cholesterol levels there were 50 heart attacks in 5000 person-years of follow-up and among the group with high cholesterol levels there were 150 heart attacks in 6000 person-years of follow-up. 1. What was the incidence of heart attack among men with low cholesterol levels? 2. How strong was the association between high cholesterol and heart attack?To reduce the number of plant accidents, ABC Co. implemented a new safety program for employees. To determine its effectiveness, the number of accidents per week was recorded before and after the implementation of the program Week 1st 2nd 3rd 4th 5th 6th 7th 8th 9th 10th Before 12 10 9 15 11 8 16 13 14 20 After 10 9 12 8 6 10 12 7 5 11 Test at α = -.05 if the new safety program is effective in reducing accidents.
- A pet food producer manufactures and then fills 25-pound bags of dog food on two different production lines located in separate cities. In an effort to determine whether differences exist between the average fill rates for the two lines, a random sample of 19 bags from line 1 and a random sample of 23 bags from line 2 were recently selected. Each bag’s weight was measured and the following summary measures from the samples were reported: Production Line 1 Production Line 2 Sample Size, n 19 23 Sample Mean, x 24.96 25.01 Sample Standard Deviation, s 0.07 0.08 Management believes that the fill rates of the two lines are normally distributed with equal variances. a) Calculate the point estimate for the difference between the population means of the two lines. b) Develop a 95% confidence interval…The marketing head of a leading chocolate manufacturer must decide amongfour different wrapper styles for the chocolate. To provide a database for the decision, he hasthe chocolate placed in the different wrappers and distributes them to five supermarkets. At the end of 2 weeks, he finds that the following amounts of chocolate were sold: Wrapper A Wrapper B Wrapper C Wrapper D 90 98 130 82 compute the Pearson correlation coefficient (Chi Square Test)Eriksson (2012) sent two abstracts of scientific papers to 200 people with postgraduate degrees. For each participant, one of the abstracts was randomly chosen and had a meaningless sentence inserted describing an unrelated mathematical model, while the other had no mathematical addition. The sentence had no conceptual connection to the subject matter of the abstract; it was just meaningless mathematics in that context. The participants were asked to rate the quality of the research in each abstract on a scale between 1 and 100, and the differences between their scores of their two abstracts, score of the abstract with math minus score of abstract without math, were recorded. Participants were also asked for the subject matter of their postgraduate degree: math, science, technology (MST); medicine (M); humanities, social science (HS); or Other (O).