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Talja [164]
3 years ago
11

a) Suppose that a random sample of size 80 has a sample mean of 1.69 ppb and a sample standard deviation of 0.25 ppb. Find a 95%

confidence interval for the PCB concentration.
Mathematics
1 answer:
lys-0071 [83]3 years ago
4 0

Answer: The confidence interval is 1.69ppb±0.055

Step-by-step explanation:

To find the confidence interval, first find the z* which is the appropriate z*-value related to the confidence interval of preference. As in this is 95%, z*-value = 1.96 (Note: The value is from the standard normal Z distribution).

With the z*-value, multiply by the division of the standard deviation and the square root of the sample size:

z*-value . σ/√n = 1.96 · \frac{0.25}{\sqrt{80} } = 0.055

The 95% confidence interval of the sample mean of 1.69 ppb is 1.69ppb±0.055ppb

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