Hypothesis testing and type errors

Answer the following problems showing your work and explaining (or analyzing) your results.

1.Explain Type I and Type II errors. Use an example if needed.

2.Explain a one-tailed and two-tailed test. Use an example if needed.

3.Define the following terms in your own words.

- Null hypothesis
- P-value
- Critical value
- Statistically significant

4.A homeowner is getting carpet installed. The installer is charging her for 250 square feet. She thinks this is more than the actual space being carpeted. She asks a second installer to measure the space to confirm her doubt. Write the null hypothesis Ho and the alternative hypothesis Ha.

5.Drug A is the usual treatment for depression in graduate students. Pfizer has a new drug, Drug B, that it thinks may be more effective. You have been hired to design the test program. As part of your project briefing, you decide to explain the logic of statistical testing to the people who are going to be working for you.

- Write the research hypothesis and the null hypothesis.
- Then construct a table like the one below, displaying the outcomes that would constitute Type I and Type II error.

•Write a paragraph explaining which error would be more severe, and why.

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Calculate the test statistic : Calculate the test statistic. |

How much charge is on the outer surface of the shell : A solid conducting ball with charge +2Q is placed inside aconducting shell. how much charge is on the outer surface of the shell |

Hypothesis testing and type errors : Hypothesis testing and type errors |

How many seconds does it take him to reach the ship : An astronaut of mass 77.4 kg is 29.9 m far out inspace, with both the space ship and the astronaut at rest withrespect to each other. Without a thruster, the only way to returnto the ship is to throw his 0.546 kg wrench directly awayfrom the ship. |

Find what angle does the emerging ray make : A flashlight on the bottom of a 4.15 m deep swimming pool sends a ray upward andat an angle so that the ray strikes the surface of the water1.80 m from the point directly abovethe flashlight |

Sum of angles of an obtuse angle triangle : What is the sum of angles of an obtuse angle triangle? |

Evaluate the reaction quotient q to determine : For the reaction PCl5 -> |

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