# Question: a manager of a childrens toy plant believes that a...

###### Question details

A manager of a children’s toy plant believes that a two-day training class helps reduce the number of products that an employee breaks during the assembly process. She randomly selects seven senior employees to receive the training. She collects data on the number of toys they break per week before the training and then measures the same thing for the week after the training. The standard deviation of the difference is 3.45. Assume that toy breaking is normally distributed. The data collected is included in the table below:

Worker | Toys Broken Before Training | Toys Broken After Training |
---|---|---|

Frank | 16 | 10 |

John | 20 | 14 |

Suzanne | 18 | 17 |

Allyson | 22 | 23 |

Whitney | 23 | 20 |

Gray | 25 | 28 |

Brent | 20 | 20 |

Calculate d¯ or the average of the differences using an
after-minus-before approach. **Rou****nd your
answers to 4 decimals**

Calculate the appropriate test statistic needed to test your
claim. **Round your final answer to 4 decimals.**
*Hint: Make sure you are using the correct formula based on the
information given in the problem and use the minus sign (-) for a
negative answer.*

Find and enter the correct critical value needed to test your
claim at the 5% significance level. **Round your final answer
to 4 decimals.** *Hint: Things you will need to know:
alpha, df, is this one or two-tailed test, and which table to use!
Use the minus sign (-) for a negative answer.*