Question

Suppose the population standard deviation is 1.88. Compute a 94% confidence interval from a sample of size 36. What is the quantile for the confidence interval?

a) 1.96
b) 2.05
c) 1.68
d) 2.13

Answer 1

To compute a 94% confidence interval, you can use the formula: Sample Mean ± (Quantile * (Population Standard Deviation / √Sample Size)). The quantile for a 94% confidence interval can be found by looking it up in a standard normal distribution table. In this case, the correct quantile is 2.13.

Step-by-step explanation:

To compute a 94% confidence interval, we can use the formula:

Sample Mean ± (Quantile * (Population Standard Deviation / √Sample Size))

Given that the population standard deviation is 1.88 and the sample size is 36, we can find the quantile for a 94% confidence interval by looking it up in a standard normal distribution table. The quantile corresponds to the z-score needed for the desired confidence level. In this case, the correct quantile is 1.88. Therefore, the answer is d) 2.13.