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QUESTION 9 The following information is from two samples drawn from independent normally distributed popu- lations: Population A : s12 = 178.1 Level of significance -- In testing the population variances, which one of the following statements is correct? 1. The degrees of freedom are d f1 = 16 and eff; = 16. 2. The value of test statistic F = 1.0478. 3. The rejection region for a twotailed test: F > F(0.025,15,15)- 4. The critical value at 5% for H1 : a? 76 0% is 2.68. 5. H0 is rejected at 5% level. QUESTION 10 Consider the following partial analysis of variance AN OVA table. Source of variation | Treatments Error The test statistic is 1. 28.75 2. 6.6\"? 3. 0.15 4. 100 5. 6.067 QUESTION 11 A randomized block design with 4 treatments and 5 blocks produced the following sum of squares values: SS Total = 1951 SST = 349 SSE = 188 Which one of the following statements is incorrect? 1. The degrees of treatment is 3. 2. The degrees of blocks is 4. 3. The mean squares for blocks is 533.5. 4. The mean squares for error is 15.6667. 5. The F test statistic for treatment is 7.4255. QUESTION 12 A random sample of eight observations from three normally distributed populations produced the 84 78 8'? following data: |Sample mean 86.25 30.25 80.88| |Sample variance 20.79 45.07 27.27| Which one of the following statements is incorrect? 1. The grand mean is 82.46. 2. The sum squares for treatments (SST) is 173.9568. 3. The sum squares of error (SSE) is 651.91. 4. The mean squares of error (MSE) is 3.0433. 5. The F test statistic is 2.802. QUESTION 13 Use the following contingency table: W lYes 40 25' N0 35 45 The calculated Chi-squared test statistic is 1. 5.45 2. 4.55 3. 145 4. 3.64 5. 45.45 QUESTION 14 Consider a multinomial experiment involving n = 300 and that the observed frequencies are given in the following table: Cell 1 2 3 4 | Frequency l 76 100 76 l 48 | The investigator wants to test the null hypothesis: H0 : p1 = 0.3, p2 = 0.3, p3 = 0.2, p4 = 0.2. The test statistic is 1. 302 2. 6.0786 3. 0.9876 4. 1 5. 9.9556 QUESTION 15 The personnel manager of a consumer product company asked a random sample of employees how they felt about the work they were doing. The following table gives a breakdown of their responses by gender. Do the data provide sufficient evidence to conclude that the level of job satisfaction is related to gender? Conduct the test at the 0.10 level of significance. Flesponse Gender Very interesting Fairly interesting Not interesting | Male 70 41 9 Which one of the following statements is incorrect? 1. H0 : Gender and level of job satisfaction are independent. 2. The expected value of male employee with the response of fairly interesting is 45. 3. The degree of freedom is 2. 4. The rejection region is 1'2