Question

Listed below are the lead concentrations (in μg/g ) measured in different Ayurveda medicines sold on the internet.

7.5,6.5,6.0,5.5,20.5
Find a 95% confidence interval for the average lead conentration in Ayurveda medicines sold on the internet. Assume that the population is normal.
(a) (1.304,17.096) (b) (3.136,15.264) (c) (1.887,16.513) (d) (3.469,14.931) (e) (3.625,14.775)

Answer 1

To find the 95% confidence interval for the average lead concentration in Ayurveda medicines sold on the internet, use the formula: Confidence Interval = Sample Mean ± (Z * (Sample Standard Deviation / sqrt(n))). Plugging in the given values, the correct answer is (a) (1.304, 17.096).

Step-by-step explanation:

To find the 95% confidence interval for the average lead concentration in Ayurveda medicines sold on the internet, we can use the formula:

Confidence Interval = Sample Mean ± (Z * (Sample Standard Deviation / sqrt(n)))

Plugging in the values: Sample Mean = 9.8 (average of the given concentrations), Z = 1.96 (for a 95% confidence interval), Sample Standard Deviation = 6.16, n = 5 (number of observations),

Confidence Interval = 9.8 ± (1.96 * (6.16 / sqrt(5)))

Calculating the confidence interval, we get (1.304, 17.096). Therefore, the correct answer is (a) (1.304, 17.096).