14. Claim: ₁2; α = 0.03 Population statistics: a₁ = 136 and ₂ = 215 Sample statistics: x₁=5004, n₁ = 144 and ₂ = 4895, n₂ 4895, n₂ = 156
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In Exercises 11 –14, test the claim about the difference between two population means u1 and u2 at the level of significance a. Assume the samples are random and independent, and the populations are
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- Do men and women select different breakfasts? The breakfasts ordered by randomly selected men and women at a popular breakfast place is shown in Table 11.55. Conduct a test for homogeneity at a 5% level of significance. French Toast Pancakes Waffles Omelettes Men 47 35 28 53 Women 65 59 55 60The home run percentage is the number of home runs per 100 times at bat. A random sample of 43 professional baseball players gave the following data for home run percentages.2) Researchers are interested in whether there is any relationship between a person's IQ (x- variable) and how long they live (y-variable). Answer the questions below by using the data provided. Show your work and use the back of the page if necessary. X Y 10 3 6. 6. 7 4 3 4 a) What type of statistical analysis would be most appropriate to use in this scenario? Please justify your answer. b) Please state the null and alternative hypotheses. c) Please report the results of your statistical analyses and make a decision about whether to reject or fail to reject the null hypothesis Use alpha = .05 (two-tailed). %3D
- A survey is conducted to determine if there is a difference in the proportion of students, parents, and What are the appropriate hypotheses to determine if the distribution of response differs among these three populations? teachers who volunteer at least once a month. To investigate, a random sample of 45 students, 25 parents, and 12 teachers was selected from a large high school. The data are displayed in the table. O Ho: There is a difference in the distribution of responses among these three populations. Hg: There is no difference in the distribution of Student Parent Teacher responses among these three populations. 12 O Ho: There is no difference in the distribution of Yes 24 Volunteer? responses among these three populations. Hg: There is a difference in the distribution of No 21 13 response among these three populations. Họ: There is no association between the type of person who is surveyed and the response. Hạ: There is an association between the type of person who is surveyed…3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…answer the second question.
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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…The single sample z test may be used to determine: a)the variability in the sample b)if a sample mean is different from a known population mean c)if two population means are different d)the variability in the population of sample meansI need help on my classwork