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Using Table E.6, determine the lower-tail critical value for the Wilcoxon rank sum test statistic,
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BASIC BUSINESS STATISTICS
- The salaries of a random sample of 12 teachers from state A and 12 teachers from state B are shown in the table. At alpha= 0.05, is there enough evidence to support the claim that there is a difference in the salaries earned by teachers in state A and state B? Calculate the test statistic. State A B OA. 1.41 OB. -2.17 OC, 0.66 OD. -0.84 Teacher's Salary (thousands of dollars) 41 44 44 33 48 38 41 24 28 35 25 44 17 27 38 26 22 16 49 29 24 35 50 40arrow_forwardTwo researchers conduct separate studies to test Ho: p=0.50 against Ha: p0.50, each with n = 400. Researcher A gets 226 observations in the category of interest, and p= 6=226/400=0.565. Researcher B gets 225 in the category of interest, and p = 225/400=0.5625. Complete parts (a) through (d) below. a. Find the z-scores and P-values for both researchers. Researcher A Z = Researcher B Z = P-value = P-value = (Round the z-scores to two decimal places as needed. Round the P-values to three decimal places as needed.) The result in case A is The result in case B is b. Using α = 0.01, indicate in each case whether the result is "statistically significant." Interpret. What does the statistical significance of the results above imply? OA. A difference in conclusions between two hypothesis tests does not necessarily mean that the test with the result that is deemed "statistically significant" is actually much more significant than the test with the result that is deemed "not statistically…arrow_forwardA medical researcher is interested in determining if there is a relationship between adults over 50 who exercise regularly and levels of blood pressure. A random sample of 236 adults over 50 is selected and the results are given below. Calculate the test statistic to test the claim that regular exercise and blood pressure are independent. Use α = 0.01.arrow_forward
- The national Cesarean delivery rate for a recent year was 32.2% (number of live births performed by Cesarean section). A random sample of 100 birth records from three large hospitals showed the following results for type of birth. Test for homogeneity of proportions using α = 0.10. Hospital A Hospital B Hospital C Cesarean 44 28 39 Non-Cesarean 56 72 61arrow_forwardA farmer wants to test the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries. Out of a random sample of 100 blooms, 67 yield marketable strawberries. Specifically, he wants to test know if there is sufficient evidence that more than three-fourths of all blooms grown with this pest control method end up as marketable strawberries. The value of the statistic for this test is z=-1.85. Which of the following is the is the approximate p-value to the nearest thousandth for this test?arrow_forwardIn a test of H0:p=0.4 against Ha:p≠0.4, a sample of size 100 produces z=1.28 for the value of the test statistic. Thus the p-value of the test is approximately equal to?arrow_forward
- In a test of H0: p = 0.4 against H1: p ≠ 0.4, a sample of size 100 produces Z = 1.28 for the value of the test statistic. Thus the p-value (or observed level of significance) of the test is approximately equal to:arrow_forwardUsing the table given below, determine the lower- and upper-tail critical values for the Wilcoxon rank sum test statistic T1 in each of the following two-tail tests. a. α=0.10, n1=8, n2=8 b. α=0.05, n1=8, n2=8 c. α=0.01, n1=8, n2=8 d. Given your results in (a) to (c), what do you conclude regarding the width of the region of non-rejection as the selected level of significance α gets smaller? LOADING... Click the icon to view the table of critical values for the Wilcoxon rank sum test. a. The lower-tail critical value is enter your response here and the upper-tail critical value is enter your response here. (Type whole numbers.) b. The lower-tail critical value is enter your response here and the upper-tail critical value is enter your response here. (Type whole numbers.) c. The lower-tail critical value is enter your response here and the upper-tail critical value is enter your response here. (Type whole numbers.) d. The width of the…arrow_forwardYou obtain a t comp of .975 in a two sample independent t test with alpha at .05. Is it significant?arrow_forward
- The salaries of a random sample of 12 teachers from state A and 12 teachers from state B are shown in the table. At alpha = 0.05, is there enough evidence to support the claim that there is a difference in the salaries earned by teachers in state A and state B? Calculate the test statistic. A. 0.66 B. 1.41 C. -0.84 D. -2.17arrow_forwardI'm interested in comparing the GPA of students at a junior college where I teach, with the national GPA average of all junior college students. I randomly select 22 students from my school (N = 22) and compare the mean of the 22 students with the national average. When I compare the two means I end up with a t-value of 2.761. Using an alpha value of .01, for a two-tailed test, what critical value do I find in Appendix B? (answer must have 3 decimal places)arrow_forwardDetermine whether the given correlation coefficient is statistically significant at the specified level of significance and sample size. r=−0.679r=−0.679, α=0.01α=0.01, n=4arrow_forward
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill