##### Reference no: EM13703186

Question: In order to receive full credit on calculated answers, please show your work. (Use Word''s equation editor, etc., and/or provide a short written description as to how you obtained the final result.)

**Question -1:**

Explain when a z-test would be appropriate over a t-test 1. There is a new drug that is used to treat leukemia. The following data represents the remission time in weeks for a random sample of 21 patients using the drug.

10 |
7 |
32 |
23 |
22 |
6 |
16 |

11 |
20 |
19 |
6 |
17 |
35 |
6 |

10 |
34 |
32 |
25 |
13 |
9 |
6 |

Let X be a random variable representing the remission time in weeks for all patients using the new drug. Assume that the distribution of x is normal. A previously used drug treatment has a mean remission time of 12.5 weeks. Does the data indicate that the mean remission time using the new drug is different from 12.5 week at a level of significance of 0.01?

State the Null Hypothesis

State the Alternatice Hypothesis

State the Level of significance

State the Test Statistic

**Question-2:**

Researchers routinely choose an alpha level of 0.05 for testing their hypotheses. What are some experiments for which you might want a lower alpha level (e.g., 0.01)? What are some situations in which you might accept a higher level (e.g., 0.1)?2. We wish to test the claim that the mean body mass index (BMI) of men is equal to the mean BMI of women. Use the data to the right to test this claim.

Men |
Women |

20 |
29 |

37 |
28 |

46 |
20 |

23 |
28 |

20 |
42 |

23 |
45 |

21 |
19 |

15 |
45 |

20 |
16 |

28 |
32 |

27 |
38 |

20 |
45 |

30 |
41 |

22 |
34 |

27 |
28 |

38 |
21 |

29 |
42 |

20 |
21 |

16 |
30 |

27 |
28 |

42 |
30 |

37 |
43 |

39 |
40 |

39 |
16 |

32 |
44 |

16 |
15 |

21 |
16 |

26 |
20 |

17 |
41 |

39 |
16 |

State the Null Hypothesis

State the Alternatice Hypothesis

State the Level of significance

State the Test Statistic