Consider the following. (Assume that the dice are distinguishable and that what is observed are the numbers that face up.) HINT [See Examples 1-3.] Two distinguishable dice are rolled; the numbers add to 7. Describe the sample space S of the experiment. (Select all that apply.) (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (2,7)(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (5,7)(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (1,7)(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) (6,7)(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (3,7)(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (4,7) List the elements of the given event. (Select all that apply.) (5,6) (6,5) (3,1) (2,2) (1,3)(6,1) (5,2) (4,3)(6,3) (5,4) (4,5) (3,6)(6,1) (5,2) (4,3) (3,4) (2,5) (1,6)(6,4) (5,5) (4,6) (1,1)(6,6)(1,2) (2,1)

You have been assigned to test the hypothesis that the average number of cars waiting in line for the drive-thru window during lunch hour differs between Chick-fil-A, Wendy's, and McDonald's. The following data show the number of cars in line during randomly selected times during the lunch hour at all three chains. Chick-fil-A(1) Wendy's(2) McDonald's(3) 7 7 6 10 8 7 11 5 6 8 3 7 9 2 9 Perform a one-way ANOVA using α = 0.05 to determine if a difference exists in the average number of cars waiting in line at the drive-thru during the lunch hour between these chains.

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The sample data below represent the number of late and on time flights for three airlines. Flight Late 1 Airline 2 3 81 93 98 On Time 219 207 302 (a) Formulate the hypotheses for a test that will determine if the population proportion of late flights is the same for all three airlines. P₂ P3 O Ho: Not all population proportions are equal. Ha: P₁ = P₂ = P3 Ho: P₁ = P₂ = P3 H: Not all population proportions are equal. O Ho: All population proportions are not equal. Ha: P₁ = P₂ = P3 O Ho: P₁ = P₂ = P3 H: All population proportions are not equal. (b) Conduct the hypothesis test with a 0.05 level of significance. Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = Need Help? Read It State your conclusion. Reject H. We cannot conclude that not all of the population proportions are equal. O Do not reject Ho. We conclude that not all of the population proportions are equal. O Reject H. We…

Refer to the following scenario. A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs should be located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 120 people living in Gastown and finds that 21 have an annual income that is below the poverty line. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of Gastown residents living below the poverty line. A. 17.50% (21/120) of Gastown residents are living below the poverty line. ? B. There is a 95% probability that the true proportion of Gastown residents who are living below the poverty line equals 21/120. C. If another random sample of 120 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living below…