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3) (15 points) The drug fentanyl, and many of its derivatives, have become a major concern due to their ease of availability and toxicity. A new lab desires to offer fentanyl analyses to help regional law enforcement officials test field samples. The lab obtains a certified fentanyl standard known to have a concentration of 35.3 ng/mL. In developing the method, analysis of the certified standard yielded, in 5 replicate measurements, a mean value \( \bar{x} = 36.4 \) ng/mL and a standard deviation \( s = 0.7 \) ng/mL. Is the mean of the lab's method similar to the certified value at the 95% confidence level?

          3) (15 points) The drug fentanyl, and many of its derivatives, have become a major concern due to their ease of availability and toxicity. A new lab desires to offer fentanyl analyses to help regional law enforcement officials test field samples. The lab obtains a certified fentanyl standard known to have a concentration of 35.3 ng/mL. In developing the method, analysis of the certified standard yielded, in 5 replicate measurements, a mean value \( \bar{x} = 36.4 \) ng/mL and a standard deviation \( s = 0.7 \) ng/mL. Is the mean of the lab's method similar to the certified value at the 95% confidence level?

3) (15 points) The drug fentanyl, and many of its derivatives, have become a major concern due to their ease of availability and toxicity. A new lab desires to offer fentanyl analyses to help regional law enforcement officials test field samples. The lab obtains a certified fentanyl standard known to have a concentration of 35.3 ng/mL. In developing the method, analysis of the certified standard yielded, in 5 replicate measurements, a mean value x̅ = 36.4 ng/mL and a standard deviation s = 0.7 ng/mL. Is the mean of the lab's method similar to the certified value at the 95% confidence level?

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