The estimated regression line and the standard error are given. Defects per Countertop = 6.717822 - 1.004950(Hours of Training) Se = 1.229787 Suppose a new employee has had 6 hours of training. What would be the 90 % prediction interval for the number of defects per countertop? Round your answer to wo decimal places.

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### Study on Training and Product Quality in Countertop Manufacturing

A manufacturing company that produces laminate for countertops is investigating the relationship between the amount of training an employee receives and the number of defects per countertop produced. In this study, ten employees were randomly selected to provide data on their training and production quality.

The number of training hours each employee received was recorded, along with the number of defects present in their most recent countertop production. The findings are presented in the following table:

| Hours of Training | Defects per Countertop |
|-------------------|------------------------|
| 1                 | 5                      |
| 4                 | 1                      |
| 7                 | 0                      |
| 3                 | 3                      |
| 2                 | 5                      |
| 2                 | 4                      |
| 5                 | 1                      |
| 1                 | 2                      |
| 1                 | 8                      |
| 6                 | 2                      |

This study aims to analyze how training impacts quality, specifically observing defects to potentially improve training programs for enhanced product quality in manufacturing.
Transcribed Image Text:### Study on Training and Product Quality in Countertop Manufacturing A manufacturing company that produces laminate for countertops is investigating the relationship between the amount of training an employee receives and the number of defects per countertop produced. In this study, ten employees were randomly selected to provide data on their training and production quality. The number of training hours each employee received was recorded, along with the number of defects present in their most recent countertop production. The findings are presented in the following table: | Hours of Training | Defects per Countertop | |-------------------|------------------------| | 1 | 5 | | 4 | 1 | | 7 | 0 | | 3 | 3 | | 2 | 5 | | 2 | 4 | | 5 | 1 | | 1 | 2 | | 1 | 8 | | 6 | 2 | This study aims to analyze how training impacts quality, specifically observing defects to potentially improve training programs for enhanced product quality in manufacturing.
The estimated regression line and the standard error are given:

Defects per Countertop = \( 6.717822 - 1.004950 \times (\text{Hours of Training}) \)

\( s_e = 1.229787 \)

Suppose a new employee has had 6 hours of training. What would be the 90% prediction interval for the number of defects per countertop? Round your answer to two decimal places.
Transcribed Image Text:The estimated regression line and the standard error are given: Defects per Countertop = \( 6.717822 - 1.004950 \times (\text{Hours of Training}) \) \( s_e = 1.229787 \) Suppose a new employee has had 6 hours of training. What would be the 90% prediction interval for the number of defects per countertop? Round your answer to two decimal places.
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