contains 13 Psychology majors, 9 Sociology majors, 4 business majors, 5 nursing majors, and 4 students with other majors. Mayra is sampling WITH REPLACEMENT from this classroom of
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A Social Science Statistics classroom contains 13 Psychology majors, 9 Sociology majors, 4 business majors, 5 nursing majors, and 4 students with other majors. Mayra is sampling WITH REPLACEMENT from this classroom of students. For the first student that she selects, the probability of selecting a Psychology major is about ____. For the second student that she selects, the probability of selecting a Psychology major is about ____. For the third student she selects, the probability of selecting a Psychology major is about ____.
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- In a memory test, the test subjects are given a large number and are asked to memorize it. Historical records show that 80% of test subjects pass the test. To pass the test, a subject must exactly repeat all the digits in the number after two hours. A random sample of 625 people to take the memory test is going to be chosen. Let p be the proportion of people in the sample who pass the test. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P(P >0.84), which is the probability that more than 84% of the people in the sample pass the test. Round your answer to four decimal places. 0 X19 people apply for a job as assistant manager of a restaurant. 10 have completed college and the rest have not. If the manager selects 11 applicants at random, find the probability that 6 are college graduates. What is the mean number of applicants who did not complete college? What is the variance for the applicants who did not complete college?A warehouse manager wants to know if there is an association between the shift worked and being on time for work. To investigate, he selects a random sample of 70 workers and classifies each one according to the shift they worked most recently and whether they were on time for work. He was unable to classify a substantial number of people as being on time, so he classified those individuals as unknown. The data are displayed in the table. The manager would like to know if these data provide convincing evidence of an association between the shift worked and being on time in the large population of all workers at this warehouse. The random and 10% conditions are met. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 8.54, so all expected counts are at least 5. No, the smallest expected count is 2.56, so the expected counts are not all at least 5. No, the smallest expected count is…
- The University of Chicago's General Social Survey (GSS) is the nation's most important social science sample survey. For reasons known only to social scientists, the GSS regularly asks a random sample of people their astrological sign. Here are the counts of responses from a recent GSS of 4344 people: Sign Aries Taurus Count 321 360 Sign Libra Scorpio Count 392 329 Gemini 367 Sagittarius 331 Cancer 374 Capricorn 354 Leo 383 Aquarius 376 Virgo 402 Pisces 355 We want to test Ho: All 12 astrological signs are equally likely versus Ha: All 12 astrological signs are not equally likely. Use a chi-square goodness-of-fit test to compute a test statistic and P-value. Do these data provide convincing evidence at the 1% significance level that all 12 signs are not equally likely? Because the P-value of 0.6562 > 0.05, we cannot reject the null hypothesis. We cannot conclude that all 12 signs are not equally likely. Because the P-value of 0.0487 > 0.01, we cannot reject the null hypothesis. We…Sommelier4U is a company that ships its customers bottles of different types of wine and then has them rate the wines as “Like” or “Dislike.” For each customer, Sommelier4U trains a classification tree based on the characteristics and customer ratings of wines that the customer has tasted. Then, Sommelier4U uses the classification tree to identify new wines that the customer may Like. Sommelier4U recommends the wines that have a greater than 50% probability of being liked. Neal Jones, a loyal customer, has provided feedback on hundreds of different wines that he has tasted. Based on this feedback, Sommelier4U trained and validated the following classification tree: For these 178 wines, the tree only misclassifies two wines. These wines have the following characteristics: Wine 1: Proline = 735, Ash = 2.88, Flavanoids = 2.69, Magnesium = 118 Wine 2: Proline = 680, Ash = 2.29, Flavanoids = 2.63, Magnesium = 103 Based on this information, construct the confusion matrix based on the 178…For its “Music 360" survey, Nielsen Co. asked teenagers and adults how each group has listened to music in the past 12 months. Nearly two- thirds of U.S. teenagers under the age of 18 say they use Google Inc's video-sharing site to listen to music and 35% of the teenagers said they use Pandora Media Inc's custom online radio service (The Wall Street Journal, August 14, 2012). Suppose 10 teenagers are selected randomly to be interviewed about how they listen to music. Answer questions 7- 10.
- A Statistics instructor wishes to know the average age (in month) of his 200 students. He decides to choose 25 students from the class and ask them for their age. All 200 names are put in a hat and 25 names are then chosen at random (without replacement). The average age of the students chosen is observed to be 231 months. The group of 25 students is known as what?Cigarette packets used to contain cards representing such things as flowers, film stars or football teams. A complete set would comprise n different cards, say, and collectors would aim to obtain a complete set. Clearly, the first packet bought would contain a new card which would start the collection. The next card obtained might simply duplicate the first card, or it might also be a new card, and add to the collection, and so on. Obtain expressions for the mean and variance of the number of packets which must be purchased until a complete set of cards is obtained.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…
- 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 123 people living in Gastown and finds that 24 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. 19.51% (24/123) 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 24/123. ? + C. If another random sample of 123 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living…A psychologist wanta to determine the effect of relaxing music on a person's reaction to a stressful event. Participants were randomly assigned to one of three groups. A participant was brought into a room with no windows and only one door. In the background, either soft classical music, or no music at all was playing. After a set amount of time, a fire alarm went off, and smoke started to come from under the door. A hidden video camera records the participants behavior that is later scored by the experimenter for level of panic from 0-100. Which statistical test would be best to determine if there is a significant difference between groups? One sample t test Dependent samples t test Independent t test ANOVARefer 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 127 people living in Gastown and finds that 20 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. 15.75% (20/127) 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 20/127. ? C. If another random sample of 127 Gastown residents is drawn, there is a 95% probability that the sample proportion of Gastown residents who are living…
