. In testing the hypothesis Ho : μ = 75 vs H₁ : µ ‡ 75, the following information is known: n=64, x = 78 and ²: = 100. The test statistic is equal to: (a) -2.4 (b) 2.4 (c) 1.96 (d) -1.96 (e) None of the above
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Population mean (µ) = 75
Standard deviations (σ) = √100 = 10
Sample size (n) = 64
Sample mean (x̅) = 78
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- Compare each of the following measures using=, . If there is no basis for comparison, indicate "cannot be determined." 8. m/1 m27 9. m26 3 5n 8. V. 10. mZ1 m/2 6. 11. m25 MZGVE 12. GE GN 13. EN EV 14. GE+EV__GV 15. GI GNFor a population with u = 84 and o = 4, what is the z-score corresponding to X= 80? O -1,00 +1,00 O+1.25 -1.50What is the cumulative frequency of students that scored half of the points on the SAT? choices: 1. none of the above/can't be determined 2. 26 3. 9 4. 55.5 5. 0.35 I already tried 2(26) and 5(0.35) but it was wrong.
- Based on the following statistical statement, χ2(4, N = 148) = 11.76, p = .02, is there a significant association? Group of answer choices Yes No0. 14. From the following data relating to marks of students of B.Com. class in aclass test in statistics: Find the value of the two quartiles Marks in statistics : 35, 39, 25, 40, 52, 58, 70, 65.Consider the following sample: 5.2,7.6,3.4,6.5,7.1 which is selected from r(a, ß). The method of moments estimator of a is: (c) 5.96 (a) 6.5 (b) 5.5 (d) 29.8 (e) None a b d e O
- A researcher wants to determine if the exam scores of the students are dependent on the length of time spent in studying the subject. Ten students in a certain class were taken and the results are shown in the table below where X is the time spent in studying the subject in hours and Y is the examination scores.If a test for the significance of r is conducted, using 5% level of significance ,what is the value of the t statistic?According to a recent report, 46% of college student internships are unpaid. A recent survey of 80 college interns at a local university found that 51 had unpaid internships. b. Assume that the study found that 42 of the 80 college interns had unpaid internships and repeat (a). What is the test statistic? ZSTAT= (Round to two decimal places as needed.) What is the p-value? The p-value is (Round to three decimal places as needed.) What is the final conclusion?16% of all Americans suffer from sleep apnea. A researcher suspects that a different percentage of those who live in the inner city have sleep apnea. Of the 337 people from the inner city surveyed, 47 of them suffered from sleep apnea. What can be concluded at the level of significance of α= 0.05? a. The test statistic= (please show your answer to 3 decimal places.) b. The p-value = (Please show your answer to 4 decimal places.)
- In a test of H0: p = 0.40 against Ha: p # 0.40, the sample data yield the test statistics z = 1.78. Find the p-value for this test. Round your answer to 4 decimal places.Answers: 1.a) rXY = 0.461, t = 1.272, Do not reject H0: no evidence for a significant correlation between the two variables b) 43.66For a one-sided t-test with H0 : μ ≤ 10 vs. Ha : μ > 10, which of the following t-statistics would result in the largest p-value? Explain why. A. 2.55 B. -2.55 C. 1.43 D. -1.33 E.3.22
