PRACTICE TEST #1 for MWF (SOLUTIONS)



PRACTICE TEST #1 (SOLUTIONS)

1. A) P(female) = [pic] B) P(Type II) = [pic]

2. A) 100% - 45% - 40% - 11% = 4% B) 40% + 11% = 51% C) 100% - 45% = 55%

3.

A)

[pic]

[pic]

[pic]

B) [pic]

[pic] [pic]

C) [pic]

[pic] [pic] Note it is not exactly 0, but it is less than .000000001 (that’s if z was -5.612 and its much further out)

D) [pic]

[pic] .0314024585 = x – 10.2 x = 10.23140246

So total weight is (how many bags)(average weight) = (24)(10.23140246) = 245.553659 and higher is the top 10%.

4. [pic]

A=(2.5)(1/8)=.3125

12.A)

[pic]

[pic] [pic]

B) [pic]

[pic] [pic]

[pic] [pic]

[pic] [pic] So 36.1642 to 41.0358

C) see part B 41.0358 and taller

D) [pic]

[pic]

[pic]

18. A) No you would need to get percents and to get percents you would need an “other” category or know the total amount of deaths.

B) Yes

19. A)

[pic]

B)

[pic]

21. A)

[pic]

B,C) [pic][pic] [pic][pic]

[pic] [pic]

D) Ranking the data from smallest to biggest and using the formula [pic] to find the percentiles we get the following: Note n =10 and r = rank.

|Rank|1 |

|2 |6, 6, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9 |

|3 |0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4 |

|3 |5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9 |

|4 |0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4 |

|4 |5, 6 |

|5 |0 |

B)

|category |How many? |

|[pic] |5 |

|[pic] |15 |

|[pic] |24 |

|[pic] |27 |

|[pic] |17 |

|[pic] |2 |

|[pic] |1 |

[pic]

C,D) ) [pic][pic] [pic][pic]

[pic] (May 4th) [pic]

E) Ranking the data from smallest to biggest and using the formula [pic] to find the percentiles we get the following: Note n =91and r = rank.

|Rank |1 |23 |24 |46 |68 |69 |

|Data |20 |30 |30 |35 |38 |39 |

|percentile |.55% |24.73% |25.82% |50% |74.18% |75.27% |

Min 20 (April 20th)

First Quartile 30 (April 30th) between 30 and 30.

Median 35 (May 5th)

Third Quartile 38.75 (May 8.75th) .82/1.09 = 75% of the way from 38 to 39

75.27 – 74.18 = 1.09 and 75 - 74.18 = .82

Max 50 (May 20th)

F)

[pic]

G) [pic]38.75 – 30 = 8.75

[pic]

Outliers are anything above 38.75 + 13.125 = 51.875 and below 30 - 13.125 = 16.875

H) None

30. Use z since we know [pic]. [pic] which is [pic].

31. [pic]

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