14-15. Conduct a hypothesis test for the following. Ho: M₁ = 2; Ha: µ₁ > µ₂. α = 0.01 π₁ = 60,n₂ = 55,₁ = 45,x2 = 40, s₁ = 15,5₂ = 10 15. What decision would you make? a. p
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- (11.)Perform the test of hypotheses indicated, using the data from independent samples given. Use the p value approach. (The p-value can be only approximated.) a. Test Ho : H - Hz = 50 vs. Ha : µ, - u, > 50 @a = 0.01: = lu n1 = 30, x1 = 681 s1 = 8 n2 = 27, T2 = 625, 82 = 8 %3D b. Test Ho : 41 – Hz = 35 vs. Ha : Hi – Hy # 35@a = 0.10: n1 = 36, T1 = 325, 81 = 11 n2 = 29, T2 = 286. s2 = 7Let n₁ = 50, X₁ = 40, n₂ = 50, and X₂ = 20. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. OA. Ho: ₁2π₂ H₁: π₁ π₂ C. Ho: π₁ #1₂ H1: П1 =П2 Calculate the test statistic, ZSTAT, based on the difference P₁ - P2. The test statistic, ZSTAT, is (Type an integer or a decimal. Round to two decimal places as needed.) Calculate the p-value. O D. Ho: ₁ = π₂ H₁: π₁ #π₂ 퍼 The p-value is. (Type an integer or a decimal. Round to three decimal places as needed.)5.2.19 If P(E)= 0.40, P(E or F) = 0.45, and P(E and F)=0.10, find P(F). P(F)= (Simplify your answer.) ts Enter your answer in the answer box and then click Check Answer. rary All parts showing Ciear All Question 17 (0/1) Question 18 (0/1) ns Ouestion 21/0/1) Omectihn 22.(0/1) ere to search ロ 直
- 2. Consider the following conditions. x = 73.26 O = 8.25 n = 38 %3D Test the hypotheses H: H = 79 H: u < 79 Use c .05 %3Dp value please. Let n1=80, X1=60, n2=80, and X2=70. Complete parts (a) and (b) below. a. At the 0.01 level of significance, is there evidence of a significant difference between the two population proportions? Determine the null and alternative hypotheses. Choose the correct answer below. A. H0: π1≥π2 H1: π1<π2 B. H0: π1≤π2 H1: π1>π2 C. H0: π1=π2 H1: π1≠π2 Your answer is correct. D. H0: π1≠π2 H1: π1=π2 Calculate the test statistic, ZSTAT, based on the difference p1−p2. The test statistic, ZSTAT, is negative 2.03−2.03. (Type an integer or a decimal. Round to two decimal places as needed.) Calculate the p-value. The p-value is enter your response here. (Type an integer or a decimal. Round to three decimal places as needed.)4. If you got a score of x = 76 on your statistics exam, which set of parameters %3D (circumstances) would give you the best grade on the exam? a. u= 70 and o = b. u= 70 and o = 3 10 %3D C. u= 80 and o = 10 %3D d. u= 80 and o = 3
- 1. A sample of data is collected from a group of college students (X = 112, Sx = 12, N = 58). It is hypothesized that members of this group have higher test scores than the general population (u = 100, o = 15). What test do you conduct? Don't do the test, just name the test and list the relevant equation for the test statistic. %3DQuestion 18 A drug company claims that an allergy medication causes headaches in 5% of those who take it. A medical researcher believes that more than 5% of those who take the drug actually get headaches. a. Identify the population(s).Scenario 2 To measure whether test performance can be predicted based on one's anxiety, a researcher asked his students to come to the lab 15 minutes before they were to take an exam in his class. The researcher measured the students' heart rates and then matched these scores with their exam performance after they had taken the exam. Use the data below and SPSS to test whether heart rate can predict test performance in the population. 田 Student Heart Rate Exam Score A 76 78 B 81 68 60 88 D 65 80 E 80 90 F 66 68 82 60 H 71 95 I 66 84 J 75 75 K 80 62 L 76 51 M 77 63 N 79 71 7. In this specific scenario, are the two variables of interest? Which is the IV and which is the DV? What is the scale of measurement for each variable? Page 3 of 7
- Qn5. Using the Kruskal-Wallis test at a = 0.01, can we conclude that the three populations represented by the three samples differ with respect to propellant burning rates? A Summarized data is given as follows: For System I: , = 5, Sum of the ranks i.e., R = 47 For System II:2, = 6, Sum of the ranks i.e., R, = 16 For System III: n, = 8, Sum of the ranks i.e., R = 57. ( Given that Table value of Chi Square = 9.21)6. Twelve cars were equipped with radial tires and driven over a test course. Then the same 12 cars (with the same drivers) were equipped with regular belted tires and driven over the same course. After each run, the cars' gas economy (in km/l) was measured. Is there evidence that radial tires produce better fuel economy? Use a=0.05. Car 6 7.4 2 3 4 5 6 8 10 11 12 Radial 4.2 4.7 6.6 7.0 6.7 4.5 5.7 6.0 4.9 6.1 5.2 Belted 4.1 4.9 6.2 6.9 6.8 4.4 5.7 5.8 6.9 4.7 6.0 4.9 a. Is this a paired test? Explain why or why not. b. State the null and alternative hypotheses for this situation. c. What is the p-value for this hypothesis test? d. State a significance level at which the decision from part (c) would change. e. Calcuate a 95% confidence interval for the mean difference between tires' fuel economy.After doing AVONA on the SPSS I got result of sig. 0.165. What does that say about my data and hypothesis? How should I comment on it?
