9-A ANOVA Compare anxiety across 3 time-points. Assume a within subjects design. Calculate F values Subject Anxiety Anxiety Anxiety 1 2 3 22 38 31 40 20 32 23 33 1 2 3 4 42 50 43 37
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- A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (a) State the appropriate hypotheses with a significance level of 0.05. H0: p = 0.20Ha: p > 0.20H0: p > 0.20Ha: p = 0.20 H0: p = 0.20Ha: p < 0.20H0: p = 0.20Ha: p ≠ 0.20 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= What can you conclude? Reject the null hypothesis. There is sufficient evidence that more than 20% of the population of female workers is obese.Reject the null hypothesis. There is not…A sample of 120 employees of a company is selected, and the average age is found to be 37 years. Parameter or stasistic?A report in LTO stated that the average age of taxis in the Philippines is 9 years. An operations manager of a large taxi company selects a sample of 40 taxis and finds the average age of the taxis is 8.2 years. The σ of the population is 2.3 years. At ? = 0.05, can it be concluded that the average age of the taxis in his company is less than the national average?
- 7. The manufacturer of an Engine Energizer System (EES) claims that it improves gas mileage and reduces emissions in automobiles by using magnetic-free energy to increase the amount of oxygen in the fuel for greater combustion efficiency. Following are test results, performed under international and U.S. government agency standards, on a random sample of 14 vehicles. The data (also see file M09_Gas_Paired.txt or M09_Gas_Q7.xlsx) give the carbon monoxide (CO) levels, in parts per million, of each vehicle tested, both before installation of EES and after installation. (a)Test at the 1% significance level whether, on average, EES reduces CO emissions (b)Obtain a 99% confidence interval for the difference between the mean CO emissions before and after installation of EES corresponding to the test in part (a) (c)Interpret the confidence interval obtained in part (b). Does this interval support the conclusion of the hypothesis test in part (a)? Justify your answerAccording to research, of all U.S. households that owned at least one TV set, 83% had two or more sets. A local cable company canvassing the town to promote a new cable service found that of the 295 households visited, 230 had two or more TV sets. At (alpha) = 0.10, is there sufficient evidence to conclude that the proportion is less than the one in the report? A. State the hypotheses and identify the claim with the correct hypothesis. B. Find the critical value(s). C. Compute the test value. D. Make the decision. E. Summarize the results.Calculateaconfidenceinterval for the me-dian ofthe second population.Select your confidenc eleve land reportit with your answer.??
- 8,8.3 - test startic/ t=? - P-value?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. Can we conclude that the population proportion with a history of intrapartum or postpartum infection is less than or equal to 0.25. Let alpha = 0.05A common characterization of obese individuals is that their body mass index is at least 30 [BMI = weight/(height)2, where height is in meters and weight is in kilograms]. An article reported that in a sample of female workers, 269 had BMIs of less than 25, 156 had BMIs that were at least 25 but less than 30, and 121 had BMIs exceeding 30. Is there compelling evidence for concluding that more than 20% of the individuals in the sampled population are obese? (c) What is the probability of not concluding that more than 20% of the population is obese when the actual percentage of obese individuals is 23%? (Round your answer to four decimal places.)
- Out of 188 men over age 65 years, 70 were still working. 87 out of 202 women over the age of 65 yearswere still working. At a 0.08 level of significance, can you claim the proportion of men and women workingover the age of 65 is the same? a.)State the hypotheses and label the claim. b) Is the test left-tailed, right-tailed, or two-tailed (circle one)?c) What is/are the critical value(s)? Draw a picture. d) What is the P-value and test-statistic?e) Give two reasons for your decision to reject/not reject H0 based on: 1) Test statistic compared to criticalvalue 2) P-value compared to α Then, state the conclusion by relating back to the original claim.To examine the relationship between alcohol consumption and birth weight, a researcher selects a sample of n = 20 pregnant rats and mixes alcohol with their food for 2 weeks before the pups are born. One newborn pup is randomly selected from each subject’s litter and the average with weight for the n = 20 pups is recorded. It is known that the average birth weight for regular rats (without exposure to alcohol) is μ = 5.6 grams. What type of test would you use to test the hypothesis that alcohol consumption during pregnancy reduces birth weights? Would you use a one-tailed or two-tailed test? What would be an appropriate measure of effect size to report?Next, given a situation in which a research reports a large eta squared effect size (eta squared = .64), why might their reported t value be small and not statistically significant? What may be inference from such a situation? Indicate and provide examples of three of the factors that influence the size of t.
