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- The director of marketing at Vanguard Corporation believes that sales of the company's Bright Side laundry detergent (S) are related to Vanguard's own advertising expenditures (A), as well as the combined advertising expenditures of its three biggest rival detergents (R).The marketing director collects 36 weekly observations on S, A, and R . Vanguard's marketing director is comfortable using parameter estimates that are statistically significant at the 10 percent level or better. Give the specific statistical tool that can be used to this problem.(A) Sampling error in an infertial statistics problem can be over come by? (B) In regression analysis if SSR = 20.213 and SST = 43.214 then linearity between variables is equal to? (C) For 6 samples of sample size, the degree of freedom (DF) for SSE will be?Studies originating in France about 15 years ago claimed that moderate red wine drinking (1-2 glasses per day) lowered rates of heart disease. a). What would be an ideal way to test this theory? What data would you collect, on how many people and from where?b). If you were forced to use observational data from some big data sets, what would your dependent (Y) and independent (X) variables be?c). Can you imagine any sampling or measurement problems inherent to your study? How might they hinder your analysis?d). Could red wine be a confounding variable for something else, explain?e). Let’s suppose that you found with more than 99% confidence that red wine reduced heart disease in France and the effect was substantial. Explain how the concepts of external validity and extrapolationmight or might not be concerns in applying the results to different groups in the United States?
- Recently, researchers have begun to focus on the relationship between potentially toxic environmental exposures in children to a number of adverse health outcomes. Suppose one such researcher wants to investigate the relationship between lead levels in soil (micrograms/dL) and BMI (kg/m2). The following table represents a SRS of households with the corresponding exterior lead levels and BMI of a randomly sampled child in the home. Lead levels BMI 13.6 19.7 14.3 19.9 9.7 20.1 9.4 22.1 11.4 19.8 10.9 21.6 A) Write out the null and alternative hypotheses for a formal test of significance testing the correlation between the two variables and calulate a t statistic and interpret your pvalue and results.. 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 populations3) A firm in Lebanon has developed a chemical solution that can be added to car gasolinewhich they believe will increase the miles per gallon that cars will get. The owners areinterested in estimating the difference between mean mpg for cars using the chemicalsolution versus those that are not using the solution. The following data represent the mpgfor independent random samples of cars from each population.with Solution without Solution______________________________n1 = 36 n2 = 42 x1 = 25.45 x2 = 24.1 _______________________________Assume that the populations are normally distributed and the population standarddeviations are known to be σ1 = 3.95 (with solution) and σ2 = 3.09 (without solution).Given this data, can the owners believe that there is a difference between mean mpg forcars using the chemical solution versus those that are not using the solution? Test using analpha level equal to 0.05.4) Given the following null and alternative hypothesis:H0: σ 2 ≤ 52HA : σ 2 > 52and the…
- A) Familywise error rate for 5 from 5 independent populations with 99% CI, is? B) Sampling error in an infertial statistics problem can be over come by? C) In regression analysis if SSR = 20.213 and SST = 43.214 then linearity between variables is equal to?Which sample result would provide evidence that there isan association between two quantitative variables basedon a hypothesis test for the true population slope b?A) Any sample with b1 = 0.B) Any sample with b1 ≠ 0.C) Any sample with b1 7 0.D) Any sample with b1 significantly close to 0.E) Any sample with b1 significantly different from 0.What causes us to overeat? One surprising factor might be the material of the plate on which our food is served. Williamson, Block, and Keller (2016) gave participants two donuts each and measured the amount of food that was wasted by each participant. In an independent-samples design, participants received their donuts either on a disposable paper plate or on a reusable plastic plate. Data like those observed by the authors are listed below. Paper Plate (Grams of Wasted Food) Plastic Plate (Grams of Wasted Food) 37 34 35 31 34 36 36 30 40 34 34 33 33 37 39 29 Test the hypothesis that participants who received donuts on a paper plate wasted more food than participants who were served donuts on a plastic, reusable plate. Use , two-tailed. Construct a 95% confidence interval to estimate the size of the mean difference. Write the results as they would appear in a scientific journal article.
- One critique of sentencing research is that it generally focuses on the differences between white defendants and defendants of color and rarely examines differences between minority groups. The JDCC data set can be used to test for differences between the sentences received by black and Hispanic juveniles convicted of property crimes. Black juveniles (Sample 1; N = 229) were sentenced to a mean of 31.09 months of probation (s = 15.42), and Hispanic juveniles (Sample 2; N = 118) received a mean of 40.84 months (s = 16.45). Using an alpha level of .01, test the hypothesis that there is a statistically significant difference between the two group means. Assume unequal population variances. Use all five steps.for patiens <65 sample size mean pain score std dev new medication 40 25.30 2.44 standard medication 25 45.51 1.83 total 65 33.07 10.16 for patients =>65 sample size mean pain score std dev new medication 20 40.33 2.16 stand medication 35 59.80 2.49 total 56 52.72 9.74 Run the tests of hypothesis to determine whether age is related to treatment assignments and whether there is a significant difference in mean pain scores by age group. Use excel if possible.Given the following data:Sample 1 variance = 128 sample size = 23Sample 2 variance = 162 sample size = 16Determine the critical value for each situation: A. Right tail test with alpha = 0.10 B. Two tail test with alpha = 0.10