Question 3 The number of degrees of freedom associated with the t test, when the data are gathered from a matched pairs experiment with 10 pairs, is: O 10 O 20 18 0000
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- A university wanted to see whether there was a significant difference in age between its day staff and evening staff. A random sample of 35 staff members is selected from each group. The data are given below. Test the hypothesis that there is no difference in age between the two groups. Use a =0.05. Day Staff 22 24 24 23 19 19 23 22 18 21 21 18 18 25 29 24 23 22 22 21 20 20 20 27 17 19 18 21 20 23 26 30 25 21 25 Evening Staff 18 23 25 23 21 21 23 24 27 31 24 20 20 23 19 25 24 27 23 20 20 21 25 24 23 28 20 19 23 24 20 27 21 29 30In a study to compare two different methods of teaching reading, a class of 20 children was divided into two groups at random. Each group was taught reading using one method. After six months the two groups were given the same test. One pupil in the first group was ill and missed the test. The scores are given below.Method 1 80 85 79 81 89 73 50 71 76Method 2 79 62 75 68 62 73 76 81 73 61(a) Calculate the extreme values and the quartiles for each group. (b) Hence draw box-and-whisker plots for the two groups using the same scale. (c) Comment on the differences between the two groups.11. Add 6 to each number in the dataset. Then, the 15th percentile is:a. 1b. 6c. 8d. 7Use the following information to answer questions 12-14: Suppose the probability that an adult gets thenews from Facebook is 0.60. A random sample of 14 adults were surveyed to determine X, the numberof adults who get their news from Facebook.12. Which of the following statements is false?a. The set of possible x-values is {1, 2, 3, . . ., 14}b. X ~ B (14, 0.60)c. P(X=5) = 0.0408d. µ = 8.413. Find the probability that at least 6 adults get their news from Facebook.a. 0.8499b. 6/14c. 0.6429d. 0.941714. X is of data of type:a. categorical nominalb. categorical ordinalc. numerical continuousd. numerical discrete15. Suppose that the ages of Brunswick CC students are normally distributed. A random sample of 6Brunswick CC students reported the ages of 20, 35, 18, 45, 27, and 20 years old. Find the errorbound that corresponds to the 90% confidence interval for the true population mean age ofBrunswick CC…
- 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…2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.Use Table 1 and the following description for Questions 15-17. Researchers are investigating whether the dessert type impacts consumers' taste preference. They design a study where four participants eat four dessert types on three consecutive days. Table 1 shows the study design. All participants (referred as participant 1,..,4) eat all four dessert types (A= Apple pie, B= Banana pudding, C= Chocolate, D= Donut) in randomized order each day (referred as Day 1, Day 2, Day 3), and provide their taste preference (on a scale from 0= hate it, to 10-love it). Researchers are only interested in testing the impact of dessert type on taste preference, but they know that day-to-day and participant-to-participant variation may impact the test results. Table 1: Dessert study design where A= Apple pie, B= Banana pudding, C= Chocolate, D= Donut Participant 1 Day 1 Day 2 В, А, С, D D, C, B, A C, B, D, A А, С, В, D Day 3 A, C, D, B B, C, A, D B, A, D, C C, D, B, A D, C, A, B А, В. С, D D, B, A, C В.А.…
- In an experiment with t = 4 population means and sample sizes of n1 = 5, n2 = 6, n3 = 4, and n4= 8, consider the four linear combinations of the sample means: ?̂1 = ?̅1 + 3?̅2 + ?̅3 + ?̅4?̂2 = ?̅1 + ?̅2 − 2?̅4?̂3 = ?̅1 + ?̅2 + ?̅3 + ?̅4?̂4 = ?̅1 + ?̅2 − 3?̅3 + ?̅4 a. Which of the four linear combinations are contrastsb. Which pairs of contrasts are orthogonalA researchers is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin: n=6, M=14, T=84, SS=60 Valerian: n=10, M=13, T=130, SS=90 Placebo: n=4, M=9, T=36, SS=37 N=20, G=250, x2=3377 a.Using symbols, state the hypotheses for a two-tailed test with α=0.05.A researchers is interested in the amount of sleep an individual receives after consuming a sleeping aid (Melatonin, Valerian root, and Placebo). The researcher randomly selects individuals into either group. However, some individuals drop out of the study which results in unequal sample sizes. Melatonin: n=6, M=14, T=84, SS=60 Valerian: n=10, M=13, T=130, SS=90 Placebo: n=4, M=9, T=36, SS=37 N=20, G=250, x2=3377 Calculate the F-ratio
- In a random sample of five observations, you obtained the following values for variable X. Whats the z score of observation 5-1 A.; B.; or C. ? 0 Z-distribution = 130 (approximately) 1 ABC + 2 3 Consider the figure above. A scientist tried performing an experiment with the following sample size: 3,5, and 20. Based from the figure, which of the following distribution is most likely for 20 sample size?