8. At an aggregate plant (crushed rock) each loaded truck is weighed upon leaving as part of the quality control process. On average, a loaded truck should weigh 28 tons with a standard deviation of 1.5 tons. The distribution is approximately mound shaped and symmetrical. Using the data below, make a control chart for the truck weights during a randomly chosen day. Indicate any out of control warnings that you observe.

Truck |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |

Weight |
24 |
25 |
31 |
30 |
28 |
28 |
24 |
25 |
24 |
30 |
29 |

The control chart I did is attached (scan 1).

The second part of the question is:

9. Using the information form #8convert weights of 29 tons and 26 tons to z-scores and sketch the graph of the weight distribution on a bell curve with weights of 29 tone and 26 tons indicated on the graph. This is also attaches (scan 2).

The part I’m having trouble with is:

12. Using the information about mean weights of loaded trucks in problems 8 and 9 answer the following question:

a) What is the probability that a single truck chosen at random will weigh more than 29 tons?

b) What is the probability that 8 trucks chosen at random will have an average weight of more than 29 tons?

Subject | Mathematics |

Due By (Pacific Time) | 07/17/2013 01:30 pm |

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