Question
1. Identify the four steps of a hypothesis test 2. Define the alpha level and the critical region for a hypothesis test. 3. Define a
1. Identify the four steps of a hypothesis test
2. Define the alpha level and the critical region for a hypothesis test.
3. Define a Type I error and a Type II error and explain the consequences of each.
4. If the alpha level is changed from a 5 .05 to a 5 .01, a. what happens to the boundaries for the critical region? b. what happens to the probability of a Type I error?
5. Explain how each of the following influences the value of the z-score in a hypothesis test. a. Increasing the difference between the sample mean and the original population mean b. Increasing the population standard deviation c. Increasing the number of scores in the sample.
7. Babcock and Marks (2010) review survey data from 2003-2005, and obtained an average of m 5 14 hours per week spent studying by full-time students at four-year colleges in the United States. To determine whether this average has changed in recent years, a researcher selected a sample of n 5 64 of today's college students and obtained an average of M 5 12.5 hours. If the standard deviation for the distribution is s 5 4.8 hours per week, does this sample indicate a significant change in the number of hours spent studying? Use a two-tailed test with a 5 .05.
9. The psychology department is gradually changing its curriculum by increasing the number of online course offerings. To evaluate the effectiveness of this change, a random sample of n 5 36 students who registered for Introductory Psychology is placed in the online version of the course. At the end of the semester, all students take the same final exam. The average score for the sample is M 5 76. For the general population of students taking the traditional lecture class, the final exam scores form a normal distribution with a mean of m 5 71.
11. A random sample of n 5 16 scores is selected from a normal population with a mean of m 5 50. After a treatment is administered to the individuals in the sample, the sample mean is found to be M 5 54. a. If the population standard deviation is s 5 8, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a 5 .05. b. If the population standard deviation is s 5 12, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with a 5 .05. c. Comparing your answers for parts a and b, explain how the magnitude of the standard deviation influences the outcome of a hypothesis test.
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