Question

In a random sample of 12 waste measurements, the mean waste is 2.2 and the standard deviation is 0.84. What is the 90

1) 1.96 to 2.44
2) 1.96 to 2.56
3) 2.04 to 2.36
4) 2.04 to 2.44

Answer 1

To find the confidence interval for a random sample, use the formula: Confidence interval = Sample mean ± (Critical value) * (Standard deviation / sqrt(sample size)). For this sample, the confidence interval is approximately 2.04 to 2.36.

Step-by-step explanation:

To calculate the confidence interval for a random sample, we can use the formula:

Confidence interval = Sample mean ± (Critical value) * (Standard deviation / sqrt(sample size))

In this case, the sample mean is 2.2, the standard deviation is 0.84, and the sample size is 12. The critical value for a 90% confidence interval is 1.96.

Plugging in these values, we get:

Confidence interval = 2.2 ± (1.96) * (0.84 / sqrt(12))

Calculating this, we find that the confidence interval is approximately 2.04 to 2.36.