# Homework Chapter 5

**Assignment:**

*Objective: Review concepts Central Limit Theorem*

- According to the Central Limit Theorem, which conditions must be met in order to make the normal curve assumption? The conditions are that ______________.

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*Objective: Apply concepts Distribution of Means*

- If the sample size is 100, then the distribution of means will have a standard deviation that is ______________ the standard deviation of the distribution of individuals.

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*Objective: Apply concepts Decision Matrix and Error Types*

- A researcher predicts that positive emotions will increase the likelihood of forming false memories. In this case, a Type I error would be ______________.

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*Objective: Apply techniques Conducting a Single Sample Z-test*

- A researcher predicts that positive emotions will increase the likelihood of forming false memories. A metanalysis of many studies has revealed that the norm for false memory creation is 0.72 on the DRM paradigm recognition test, with a standard deviation of 0.29. The scores for the research sample who experienced the induction of positive emotions before completing the DRM recognition test are presented in the table below
*(N*=34). Conduct a hypothesis test of the researcher’s prediction with significance level .05. The populations should be defined as ______________.

0.93 |

0.96 |

0.63 |

0.92 |

0.77 |

0.75 |

0.72 |

0.98 |

0.84 |

0.52 |

0.92 |

0.89 |

0.92 |

0.82 |

0.76 |

0.87 |

0.89 |

0.93 |

0.54 |

0.52 |

0.80 |

0.91 |

0.94 |

0.69 |

0.97 |

0.88 |

0.71 |

0.99 |

0.93 |

0.75 |

0.77 |

0.97 |

0.51 |

0.98 |

- For the research scenario described in problem 4, the hypotheses should be defined as ______________.
- For the research scenario described in problem 4, the characteristics of the comparison distribution should be defined as ______________.
- For the research scenario described in problem 4, the cutoff Z score should be ______________.
- For the research scenario described in problem 4, the calculated Z-test result should be ______________.
- For the research scenario described in problem 4, the hypothesis test decision should be ______________.
- For the research scenario described in problem 4, the p-value associated with the Z-test result is _____________.
- For the research scenario described in problem 4, the conclusion as written in a published results section could be ______________.

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*Objective: Apply techniques Conducting a Single Sample t-test*

- A researcher predicts that positive emotions will increase the likelihood of forming false memories. A metanalysis of many studies has revealed that the norm for false memory creation is 0.72 on the DRM paradigm recognition test. The population standard deviation is unclear. The scores for the research sample who experienced the induction of positive emotions before completing the DRM recognition test are presented in the table below
*(N*=34). Conduct a hypothesis test of the researcher’s prediction with significance level .05. For this research scenario, the characteristics of the comparison distribution should be defined as ______________.

0.93 |

0.96 |

0.63 |

0.92 |

0.77 |

0.75 |

0.72 |

0.98 |

0.84 |

0.52 |

0.92 |

0.89 |

0.92 |

0.82 |

0.76 |

0.87 |

0.89 |

0.93 |

0.54 |

0.52 |

0.80 |

0.91 |

0.94 |

0.69 |

0.97 |

0.88 |

0.71 |

0.99 |

0.93 |

0.75 |

0.77 |

0.97 |

0.51 |

0.98 |

- For the research scenario described in problem 12, the cutoff t score should be ______________.
- For the research scenario described in problem 12, the calculated t-test result should be ______________.
- For the research scenario described in problem 12, the hypothesis test decision should be ______________.
- For the research scenario described in problem 12, the p-value associated with the t-test result is ______________.
- For the research scenario described in problem 12, the conclusion as written in a published results section could be ______________.

*Objective: Apply concepts** Decision Tree*

- The Z-test is appropriate to use when ______________.