A pharmaceutical company claims that the average dose of the active ingredient of their pain killer medicine is 10 mg. To ensure the quality of their product, the company routinely performs a quality check. The company has established that the upper threshold of the variance is 1.5 mg2. in other words, if the UCL of 2 > 1.5 mg2 the company will stop the production of the medicine until the problem is fixed. During the last quality control run the following information was obtained Number of pills evaluated Variance Using a 99% Confidence level: 26 0.48 mg2 1. What is the upper critical value (use the Chi-squared table provided in class) 2. What is the upper confidence level (round to the nearest tenth) 3. Given the threshold established by the company, indicate if they are going to stop or continue (choose one) the production of the pain killer

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A pharmaceutical company claims that the average dose of the active ingredient of their painkiller medicine is 10 mg. To ensure the quality of their product, the company routinely performs a quality check. The company has established that the upper threshold of the variance is 1.5 mg². In other words, if the UCL (Upper Confidence Limit) of σ² > 1.5 mg², the company will stop the production of the medicine until the problem is fixed. During the last quality control run, the following information was obtained:

| Number of pills evaluated | Variance   |
|---------------------------|------------|
| 26                        | 0.48 mg²   |

Using a 99% Confidence level:

1. What is the upper critical value (use the Chi-squared table provided in class)? [___]

2. What is the upper confidence level (round to the nearest tenth)? [___]

3. Given the threshold established by the company, indicate if they are going to stop or continue (choose one) the production of the painkiller: [___]
Transcribed Image Text:A pharmaceutical company claims that the average dose of the active ingredient of their painkiller medicine is 10 mg. To ensure the quality of their product, the company routinely performs a quality check. The company has established that the upper threshold of the variance is 1.5 mg². In other words, if the UCL (Upper Confidence Limit) of σ² > 1.5 mg², the company will stop the production of the medicine until the problem is fixed. During the last quality control run, the following information was obtained: | Number of pills evaluated | Variance | |---------------------------|------------| | 26 | 0.48 mg² | Using a 99% Confidence level: 1. What is the upper critical value (use the Chi-squared table provided in class)? [___] 2. What is the upper confidence level (round to the nearest tenth)? [___] 3. Given the threshold established by the company, indicate if they are going to stop or continue (choose one) the production of the painkiller: [___]
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