A researcher is testing the effect preschool has on the development of children – are children who spend more time away from their mothers more or less likely to show developmental problems in kindergarten? Using a standardized scale, the average rating of behavioral problems in kindergarten children is 36.6 with a standard deviation of 8. A random sample of 15 kindergarten children who had spent at least 20 hours per week in child care during the previous year young produced the scores shown in the data. Test at o.01 level of significance that children who spend more time away from their mothers are more likely to show developmental problems in kindergarten. 38 39 42 43 48 44 38 36 42 37 36 47 48 38 41

Diagnostic tests of medical conditions have several results. The rest result can be positive or negative. A positive test (+) indicates the patient has the condition. A negative test (–) indicates the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 130 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.    Condition Present Condition Absent Row Total Test Result + 109 21 130 Test Result – 21 49 70 Column Total 130 70 200 Assume that the sample is representative of the entire population. For a person selected at random, find P(getting test result – and condition absent). Round your answer to the nearest hundredth.

Student Absences and Grades on the Final Exam Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10.xlsx. Do not use any software that I did not assign.   Question 1: Which or the two variables (times absent or grades on the final exam) is the independent variable and which is the dependent variable?   Question 2: Using Microsoft Excel:  SHOW YOUR WORK   Times Late/Absent  Final Exam Grade 1 9 84.00 2 2 92.50 3 12 52.00 4 5 87.00 5 11 75.00 6 24 45.00 7 7 39.00 8 10 46.00 9 19 63.00 10 2 65.00 11 2 98.00 12 17 24.50 13 8 58.00 14 20 69.50 15 55 49.00 16 23 68.50 17 6 70.00 18 4 75.50 19 2 85.00 20 7 97.00 21 2 97.00 22 2 93.50 23 0 93.50 24 2…

Diagnostic tests of medical conditions can have several types of results. The test result can be positive or negative, whether or not a patient has the condition. A positive test (+) indicates that the patient has the condition. A negative test (−) indicates that the patient does not have the condition. Remember, a positive test does not prove the patient has the condition. Additional medical work may be required. Consider a random sample of 200 patients, some of whom have a medical condition and some of whom do not. Results of a new diagnostic test for the condition are shown.   Condition Present Condition Absent Row Total Test Result + 108 22 130 Test Result − 20 50 70 Column Total 128 72 200 Assume the sample is representative of the entire population. For a person selected at random, compute the following probabilities. (Enter your answers as fractions.) (a) P(+ | condition present); this is known as the sensitivity of a test.(b) P(− | condition present); this is…