Consider testing Ho: H= 20 against Ha:u<20 where u is the mean number of latex gloves used per week by all hospital employees, based on the summary statistics n= 46, x= 19.3, and s= 11.2. Complete parts a and b. a. Compute the p-value of the test. The p-value of the test is. (Round to four decimal places as needed.)
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- Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800.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 = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2 denote the true average tread life for an economy brand of the same size. Test H0: ?1 − ?2 = 5000 versus Ha: ?1 − ?2 > 5000 at level 0.01, using the following data: m = 45, x = 42,100, s1 = 2400, n = 45, y = 36,200, and s2 = 1800. 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 = State the conclusion in the problem context. Fail to reject H0. The data does not suggest that the difference in average tread life exceeds 5000.Reject H0. The data suggests that the difference in average tread life exceeds 5000. Fail to reject H0. The data suggests that the difference in average tread life exceeds 5000.Reject H0. The data does not suggest that the difference in average tread life exceeds 5000.The tests of assumptions for yield gave values for Levene’s statistic and Shapiro-Wilk’s as 0.0562 and .00271, respectively. At a=0.05 , which statistical test is most appropriate to compare the yield among the nitrogen rates? a. Cochran’s Q B. Friedman’s C. Kruskal Wallis test . D. Anova F-test
- Assume that ρxy = .30 between weight and exercise for the population of normal adults. However, a researcher believes the relationship is stronger for children. The researcher tests a sample of 28 children and obtains an rxy = .47. Does this result support the researcher’s belief? Conduct an appropriate statistical test using an alpha level of .05.A t-test for independent samples computed by a researcher on the data from his experiment about the effect of distraction on memory is reported as t(30) = 2.0 p < .05 1 tail test. Based on this information, what is the effect size evaluated by r2 in this study? (Note: the numerical answers are rounded to 2 decimal places.) A. r2 = 2/30 = 0.07 B. r2 = 2/32 = 0.06 C. r2 = 4/34 = 0.12 D. r2 = 4/30 = 0.13 E. r2 = 4/28 = 0.14 F. None of the above.The data in the accompanying table are from a paper. Suppose that each person in a random sample of 49 male students and in a random sample of 88 female students at a particular college was classified according to gender and whether they usually or rarely eat three meals a day. Find the test statistic and P-value. (Use SALT. Round your test statistic to three decimal places and your P-value to four decimal places.) Usually Eat3 Meals a Day Rarely Eat3 Meals a Day Male 26 23 Female 35 53
- The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. Stance duration (ms) was measured in separate samples of younger and older adults. younger: n=22 mean=801 s=117 older: n=16 mean=780 s=81 Test the claim that the true average stance is different between younger and older adults. Let population 1= younger population 2= older a. What is the appropriate procedure to test the claim? b.What is the degrees of freedom? Use the conservative formula. c.At 0.05 significance level, what is/are the critical value/s? d.What is the value of the test statistic? Use 2 decimal places e.Construct a 95% confidence interval estimate, what is the margin of error? Use 2 decimal places.A researcher interested in exercise endurance in older adults with coronary heart disease measured the endurance of 450 older adults during an exercise routine on a scale of 0-10. He obtained a mean (SD) rating of 6.2 (3.4). Compute the 85% C. I: _____________.What happens when p value for t test is lower than alpha i.e. what do you conclude?
- An ANOVA produces an F-ratio with df = 1, 34. Could the data have been analyzed with a t test? What would the degrees of freedom be for a t statistic?In a random sample of size 150, there were 90 individuals in the category of interest. Answer the following questions. (a) Find the point estimate. (b) If ?1H1: ?>0.5p>0.5 at ?=0.01α=0.01, find the critical value.