Student: Stanley

MAT308 Chapter 10 Test (75 Points) Show You Work! (1) The mean number of hours of sleep for adults in the population of the U.S. is 6.8. A researcher believes that the mean number of hours that college students get per night is significantly different from adults in the population. The mean number of hours of sleep in a sample of 25 college students is 7.1 hours. The standard deviation of this sample is 0.87. Does the data provide support for the researcher's prediction? α level: 0.05 (15 Points) Ho: Ha: Level of Significance: Test Statistic: P-Value: Decision Reject or Fail to Reject: Conclusion: (2) Is the percentage of Creamery customers who prefer chocolate ice cream over vanilla less than 80%? In a sample of 50 customers 60% preferred chocolate over vanilla. α level: 0.05 (15 Points) Ho: Ha: Level of Significance: Test Statistic: P-Value: Decision Reject or Fail to Reject: Conclusion: (3) A manufacturer finds that baseballs dropped 24 ft. onto a concrete surface are supposed to bounce an average of 93 in. The manufacturer of the balls has moved to a new facility, and there is concern that the balls are different. One hundred balls were sampled and it was found that the average of the bounce height was 92.232 with a standard deviation of 1.56. . α level: 0.05 (15 Points) Ho: Ha: Level of Significance: Test Statistic: P-Value: Decision Reject or Fail to Reject: Conclusion: (4) The mean Verbal SAT score for the population of all first students at Radford is 520. The standard deviation of scores in this population is 95. An investigator believes that the mean Verbal SAT of first year psychology majors is significantly different from the mean score of population. The mean of a sample of 36 first year psychology majors is 540. Please test the investigator's prediction using an alpha level of 0.05. (15 Points) Ho: Ha: Level of Significance: Test Statistic: P-Value: Decision Reject or Fail to Reject: Conclusion: (5) First graders in the state of Virginia get an average score of 20 on a reading test (higher score reflect higher levels of performance). A teacher is using a new method to teach reading. She predicts that by the end of the first grade, students getting her new method will have significantly higher scores on reading than those in the population. The mean of the 25 students in her class is 23.2 and the standard deviation of the students in the class is 4.7. Use an alpha level of 0.05. (15 Points) Ho: Ha: Level of Significance: Test Statistic: P-Value: Decision Reject or Fail to Reject: Conclusion: