Directions: Complete ALL of the following Hypothesis Tests. You may use either the OR Method. Make sure you include ALL parts to a hypothesis test! The following formulas have been provided for reference. Use an appropriate calculator program and remember to round appropriately.

  1. Ralph Carter is a high school history teacher who says that if students are not aware of the Holocaust, then the curriculum should be revised to correct that deficiency. A Roper Organization survey of high school students showed that of them did not know that the “Holocaust” refers to the Nazi killing of about 6 million Jews during WWII. Using the sample data and significance level, test the claim that most (more than 50%) students do not know what “Holocaust” refers to. Based on these results, should Ralph Carter seek revision to the curriculum?
  1. For each of organizations, the cost of operation per client was found. A sample of 12 scores had a mean of and a standard deviation of . At the significance level, test the claim of a critic who complains that the mean for all such organizations exceeds per client. Assume the data came from a normally distributed population.
  1. In a study of distance traveled by buses before the first major engine failure, a sampling of buses resulted in a mean of and a standard deviation of. At the level of significance, test the manufacturer’s claim that the mean distance traveled before a major engine failure is equal to.
  1. In clinical studies of allergy drug Seldane, of the subjects experienced drowsiness. A competitor claims that more than of Seldane users experience drowsiness. Use a significance level to test that claim.
  1. When convicted embezzlers were randomly selected, the mean length of prison sentence was found to be and with a standard deviation of . Kim Patterson is running for political office on a platform of tougher treatment of convicted criminals. Test her claim that prison terms for convicted embezzlers have a mean of less than . Use a significance level.
  1. One large high school has found that students taking a standard college aptitude test earn scores with a standard deviation of A counselor claims that the current group of test subjects had more variationin their aptitude scores. Test the claim that the variation is larger than if a random sample of students produces a variance of

Use a level of significance and assume that the test scores are normally distributed.

  1. As principal of RhinebeckHigh School, Mr. Davenport was concerned with the amount of time his students devote to working at after-school jobs. He randomly selected students, obtained their working hours for one week, and computed and . He claims that his students work significantly more than the mean of obtained from a study conducted by the National Federation of State High School Assoc. Test his claim by using a level of significance. Assume the data was obtained from a normally distributed population.