An agricultural field trial compares the yield of two varieties of corn. The researchers divide in half each of 8 fields of land in different locations and plant each corn variety in one half of each plot. After harvest, the yields are compared in bushels per acre at each location. The 8 differences (Variety A - Variety B) give x¯=3.07 and s=5.11. Does this sample provide evidence that Variety A had a higher yield than Variety B?
(a) State the null and alternative hypotheses: (Type "mu" for the symbol μμ , e.g. mu > 1 for the mean is greater than 1, mu < 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1)
H0 :
Ha :
(b) Find the test statistic, t =
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- We take another look at the confidence in the executive branch of the federal government (CONFED) is presented with two independent variables---(1) respondent race and (2) age (measured in categories as reported in corresponding tables). Interpret each measure of association. Which variable---race or age---has a higher proportional reduction of error?arrow_forwardResearchers at a local public health office are interested in the difference in prevalence of sickle cell anemia by ethnicity in a population under its jurisdiction. Suppose the following table represents prevalence of sickle cell anemia reported based on a thorough survey. Ethnicity Prevalence of Sickle Cell African-American =242/1049 Other =165/1864 Calculate the risk difference between the groups.arrow_forwardThe authors of a paper compared two different methods for measuring body fat percentage. One method uses ultrasound, and the other method uses X-ray technology. Body fat percentages using each of these methods for 16 athletes (a subset of the data given in a graph that appeared in the paper) are given in the accompanying table. You can assume that the 16 athletes who participated in this study are representative of the population of athletes. Athlete X-ray 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 5.00 13.00 9.25 12.00 17.25 29.50 5.50 6.00 8.00 11.50 9.25 11.00 12.00 14.00 17.00 18.00 Ultrasound 4.50 9.75 9.00 11.75 17.00 27.50 6.50 6.75 8.75 12.50 9.50 12.00 12.25 15.50 18.00 18.25 Use these data to estimate the difference in mean body fat percentage measurement for the two methods. Use a confidence level of 95%. (Use μ = x-ray ultrasound. Round your answers to three decimal places.) 1% - Interpret the interval in context. O We are 95% confident that the true mean body fat percentage…arrow_forward
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